Introduction[]
"Only a Sith deals in absolutes." (Obi-Wan Kenobi to Anakin Skywalker) But... Inspired by Ugarik, Spinosaurus75dinosaurfan, ArbitraryNumbers, DontTalkDT, Votron5 and various VSBW members, we have a page where we can have common feats in more solid, "absolute" figures.
We are discussing more here. I am giving some calcs here.
Disclaimer: This is a series of WIP projects and any help would be appreciated. Most of the feats here have been approved (and more approved feats will be added). Thank you.
The Feats[]
Punching a fist-sized hole through things[]
Before we start, we need the size of a fist.
The length of the 2nd, 3rd, 4th, and 5th Prox. Phalanges are 41.17mm, 45.17 mm, 41.8 mm, and 33.46 mm respectively. The width of the 2nd, 3rd, 4th and 5th Prox. Phalanges are 16.46 mm, 16.37 mm, 14.87 mm, and 14.33 mm respectively. This comes to an area of the 2nd, 3rd, 4th, and 5th prox. phalanges at 677.6582 mm^2, 739.4329 mm^2, 621.566 mm^2, and 479.4818 mm^2 respectively. This comes to a total area of 2518.1389 mm^2 or 25.181389 cm^2.
Which means an exact fist surface area to hit on a surface of something is 25.181389 cm^2. I am assuming a straight punch with four prox. phalanges touching the surface of portion of object to destroy. I assume the said character tuck the thumb under the index and middle finger, while Votron5 may suggest that some people places the thumb next to the curled fingers. In his case, the surface area would be 25.929159 cm^2. (And the destructive energy would be multiplied by the following ratio 25.929159/25.181389 if the said hole is shaped with an extra thumb. Easy.)
Punch through an interior wall[]
Walls can be made with various materials. Normally an interior wall is 4 1/2 inch thick - that's 11.43 cm.
Volume destroyed is 25.181389 * 11.43 = 287.8232763 cc
Multiplying the volume destroyed by the destruction energy of the material and the degree of destruction and we get...
Material and degree of destruction | Destruction energy | Energy applied | Tier |
---|---|---|---|
White pine - mild frag | 3.0337 | 873.1694732 | Street |
White pine - v frag | 6.2053 | 1786.029776 | Street |
White pine - pulv | 33.0948 | 9525.453764 | Street+ |
Live oak - mild frag | 18.3401 | 5278.707669 | Street |
Live oak - v frag | 19.5811 | 5635.896355 | Street |
Live oak - pulv | 61.3633 | 17661.78605 | Wall |
Concrete - mild frag | 6 | 1726.939658 | Street |
Concrete - v frag | 20 | 5756.465525 | Street |
Concrete - pulv | 40 | 11512.93105 | Street+ |
Reinforced concrete - mild frag | 20 | 5756.465525 | Street |
Reinforced concrete - v frag | 61 | 17557.21985 | Wall |
Reinforced concrete - pulv | 102 | 29357.97418 | Street+ |
Cement - mild frag | 8 | 2302.58621 | Street |
Cement - v frag | 69 | 19859.80606 | Wall |
Cement - pulv | 214 | 61594.18112 | Wall |
Iron - mild frag | 20 | 5756.465525 | Street |
Iron - v frag | 42.43 | 12212.34161 | Street+ |
Iron - pulv | 90 | 25904.09486 | Wall |
Aluminium - mild frag | 68.9475 | 19844.69534 | Wall |
Aluminium - v frag | 137.895 | 39689.39068 | Wall |
Aluminium - pulv | 275.79 | 79378.78136 | Wall |
Steel - mild frag | 208 | 59867.24146 | Wall |
Steel - v frag | 568.5 | 163627.5326 | Wall |
Steel - pulv | 1000 | 287823.2763 | Wall |
Punch through a door[]
Discarded | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Normally a door is 1 3/8 inch thick - that's 3.4925 cm.
Volume destroyed is 25.181389 * 3.4925 = 87.94600108 cc Multiplying the volume destroyed by the destruction energy of the material and the degree of destruction and we get...
|
Another website says the standard size for a door is 203.2 cm tall, 91.44 cm wide, and 3.334 cm thick. (In case the website link does not work, here is a backup.)
Page backup |
---|
Volume destroyed is 25.181389 * 3.334 = 83.95475093 cc
Multiplying the volume destroyed by the destruction energy of the material and the degree of destruction and we get...
Material and degree of destruction | Destruction energy | Energy applied | Tier |
---|---|---|---|
White pine - mild frag | 3.0337 | 254.6935279 | Athletic Human+ |
White pine - v frag | 6.2053 | 520.9644159 | Street |
White pine - pulv | 33.0948 | 2778.465691 | Street |
Live oak - mild frag | 18.3401 | 1539.738527 | Street |
Live oak - v frag | 19.5811 | 1643.926373 | Street |
Live oak - pulv | 61.3633 | 5151.740567 | Street |
Glass - mild frag | 0.75 | 62.96606319 | Normal Human |
Glass - v frag | 1 | 83.95475093 | Normal human+ |
Glass - pulv | 1000 | 83954.75093 | Wall |
Iron - mild frag | 20 | 1679.095019 | Street |
Iron - v frag | 42.43 | 3562.200082 | Street |
Iron - pulv | 90 | 7555.927583 | Street+ |
Steel - mild frag | 208 | 17462.58819 | Wall |
Steel - v frag | 568.5 | 47728.2759 | Wall |
Steel - pulv | 1000 | 83954.75093 | Wall |
Destroying a part of a door[]
Destroying two hinge joints[]
First, we see the volume of the joint, whose voulme is at most (0.5/2 * 2.54)^2 * pi() * (3.5*2.54) = 11.26157372 cc. Two hinges means two joints at 22.52314745 cc.
Multiplying the volume destroyed by the destruction energy of the material and the degree of destruction and we get...
Material and degree of destruction | Destruction energy | Energy applied | Tier |
---|---|---|---|
Iron - mild frag | 20 | 450.4629489 | Street |
Iron - v frag | 42.43 | 955.6571461 | Street |
Iron - pulv | 90 | 2027.08327 | Street |
Copper - mild frag | 235 | 5292.93965 | Street |
Copper - v frag | 556.5 | 12534.13155 | Street+ |
Copper - pulv | 878 | 19775.32346 | Wall |
Steel - mild frag | 208 | 4684.814669 | Street |
Steel - v frag | 568.5 | 12804.40932 | Street+ |
Steel - pulv | 1000 | 22523.14745 | Wall |
Destroying a door knob latch[]
This site shows a latch throw length of 0.5 inch, i.e. 1.27 cm.
Volume of 1.27 cm square latch = 1.27^3 cc = 2.048383 cc
Multiplying the volume destroyed by the destruction energy of the material and the degree of destruction and we get...
Material and degree of destruction | Destruction energy | Energy applied | Tier |
---|---|---|---|
Iron - mild frag | 20 | 40.96766 | Human |
Iron - v frag | 42.43 | 86.91289069 | Human |
Iron - pulv | 90 | 184.35447 | Athletic Human |
Copper - mild frag | 235 | 481.370005 | Street |
Copper - v frag | 556.5 | 1139.92514 | Street |
Copper - pulv | 878 | 1798.480274 | Street |
Steel - mild frag | 208 | 426.063664 | Street |
Steel - v frag | 568.5 | 1164.505736 | Street |
Steel - pulv | 1000 | 2048.383 | Street |
Do you start to question yourself on your own health and fitness?
Destroying a latch and two hinge joints[]
Just add the energy of 2 hinges plus a latch. Easy.
Material and degree of destruction | Destruction energy | Energy applied | Tier |
---|---|---|---|
Iron - mild frag | 20 | 491.4306089 | Street |
Iron - v frag | 42.43 | 1042.570037 | Street |
Iron - pulv | 90 | 2211.43774 | Street |
Copper - mild frag | 235 | 5774.309655 | Street |
Copper - v frag | 556.5 | 13674.05669 | Street+ |
Copper - pulv | 878 | 21573.80373 | Wall |
Steel - mild frag | 208 | 5110.878333 | Street |
Steel - v frag | 568.5 | 13968.91506 | Street+ |
Steel - pulv | 1000 | 24571.53045 | Wall |
I believe most door hinges and knobs are made of steel before I even write this.
...
I know what you're thinking: would the frames actually be easier to destroy? The answer is... maybe yes.
The part of frames adjacent to the hinges[]
The volume of frame to destroy roughly equals to
(thickness of the door * effective deepness of the pin * height of the hinge) * 2 hinges = 3.334 * 1.27 * 3.5*2.54 * 2 = 75.2837204 cc
Multiplying (ditto)
Material and degree of destruction | Destruction energy | Energy applied | Tier |
---|---|---|---|
White pine - mild frag | 3.0337 | 228.3882226 | Street |
White pine - v frag | 6.2053 | 467.1580702 | Street |
White pine - pulv | 33.0948 | 2491.49967 | Street |
Live oak - mild frag | 18.3401 | 1380.710961 | Street |
Live oak - v frag | 19.5811 | 1474.138058 | Street |
Live oak - pulv | 61.3633 | 4619.65752 | Street |
Concrete - mild frag | 6 | 451.7023224 | Street |
Concrete - v frag | 20 | 1505.674408 | Street |
Concrete - pulv | 40 | 3011.348816 | Street |
Reinforced concrete - mild frag | 20 | 1505.674408 | Street |
Reinforced concrete - v frag | 61 | 4592.306944 | Street |
Reinforced concrete - pulv | 102 | 7678.939481 | Street+ |
Cement - mild frag | 8 | 602.2697632 | Street |
Cement - v frag | 69 | 5194.576708 | Street |
Cement - pulv | 214 | 16110.71617 | Wall |
Iron - mild frag | 20 | 1505.674408 | Street |
Iron - v frag | 42.43 | 3194.288257 | Street |
Iron - pulv | 90 | 6775.534836 | Street |
Copper - mild frag | 235 | 17691.67429 | Wall |
Copper - v frag | 556.5 | 41895.3904 | Wall |
Copper - pulv | 878 | 66099.10651 | Wall |
Steel - mild frag | 208 | 15659.01384 | Wall |
Steel - v frag | 568.5 | 42798.79505 | Wall |
Steel - pulv | 1000 | 75283.7204 | Wall |
The part of frames adjacent to the knob latch[]
The volume of frame to destroy roughly equals to
(thickness of the door * effective deepness of the latch * strike height) = 3.334 * 1.27 * 2.25*2.54 = 24.1983387 cc
Multiplying (ditto)
Material and degree of destruction | Destruction energy | Energy applied | Tier |
---|---|---|---|
White pine - mild frag | 3.0337 | 73.41050011 | Street |
White pine - v frag | 6.2053 | 150.1579511 | Athletic human |
White pine - pulv | 33.0948 | 800.8391796 | Street |
Live oak - mild frag | 18.3401 | 443.7999516 | Street |
Live oak - v frag | 19.5811 | 473.8300899 | Street |
Live oak - pulv | 61.3633 | 1484.889917 | Street |
Concrete - mild frag | 6 | 145.1900322 | Athletic human |
Concrete - v frag | 20 | 483.966774 | Street |
Concrete - pulv | 40 | 967.933548 | Street |
Reinforced concrete - mild frag | 20 | 483.966774 | Street |
Reinforced concrete - v frag | 61 | 1476.098661 | Street |
Reinforced concrete - pulv | 102 | 2468.230547 | Street |
Cement - mild frag | 8 | 193.5867096 | Athletic human |
Cement - v frag | 69 | 1669.68537 | Street |
Cement - pulv | 214 | 5178.444482 | Street |
Iron - mild frag | 20 | 483.966774 | Street |
Iron - v frag | 42.43 | 1026.735511 | Street |
Iron - pulv | 90 | 2177.850483 | Street |
Copper - mild frag | 235 | 5686.609595 | Street |
Copper - v frag | 556.5 | 13466.37549 | Street+ |
Copper - pulv | 878 | 21246.14138 | Wall |
Steel - mild frag | 208 | 5033.25445 | Street |
Steel - v frag | 568.5 | 13756.75555 | Street+ |
Steel - pulv | 1000 | 24198.3387 | Wall |
The part of all parts of frames adjacent[]
Just (ditto)
Material and degree of destruction | Destruction energy | Energy applied | Tier |
---|---|---|---|
White pine - mild frag | 3.0337 | 301.7987227 | Street |
White pine - v frag | 6.2053 | 617.3160213 | Street |
White pine - pulv | 33.0948 | 3292.33885 | Street |
Live oak - mild frag | 18.3401 | 1824.510912 | Street |
Live oak - v frag | 19.5811 | 1947.968147 | Street |
Live oak - pulv | 61.3633 | 6104.547437 | Street |
Concrete - mild frag | 6 | 596.8923546 | Street |
Concrete - v frag | 20 | 1989.641182 | Street |
Concrete - pulv | 40 | 3979.282364 | Street |
Reinforced concrete - mild frag | 20 | 1989.641182 | Street |
Reinforced concrete - v frag | 61 | 6068.405605 | Street |
Reinforced concrete - pulv | 102 | 10147.17003 | Street+ |
Cement - mild frag | 8 | 795.8564728 | Street |
Cement - v frag | 69 | 6864.262078 | Street |
Cement - pulv | 214 | 21289.16065 | Wall |
Iron - mild frag | 20 | 1989.641182 | Street |
Iron - v frag | 42.43 | 4221.023768 | Street |
Iron - pulv | 90 | 8953.385319 | Street |
Copper - mild frag | 235 | 23378.28389 | Wall |
Copper - v frag | 556.5 | 55361.76589 | Wall |
Copper - pulv | 878 | 87345.24789 | Wall |
Steel - mild frag | 208 | 20692.26829 | Wall |
Steel - v frag | 568.5 | 56555.5506 | Wall |
Steel - pulv | 1000 | 99482.0591 | Wall |
Making a hole in a ceiling or floor[]
Fictional characters love making large holes in ceilings or floors.
I am listing various hole sizes that are common in real life.
- The hulls of International Space Station can be as thick as 0.5 inch or 1.27 cm.
- A manhole cover is usually 86 cm in diameter (43 cm in radius) and 1.75 inch thick (4.445 cm in thickness)
- A residential flat in a skyscraper can have the thickness of the floor slabs (excluding plaster) up to 20 cm thick.
- A hole big enough for a person to freely drop in fiction usually has a diameter the same as a human height. Here I take the height of an average American male, which is 175.3 cm in diameter (and thus 87.65 cm in radius).
- It is a common gag feat a human straight punch is assumed to punch a hole with a radius of ~5 cm.
- The median radius of an average baseball is around 3.725 cm.
The common types of hole volumes are...
Type | Radius (cm) | Circle area (cm^2) | Thickness (cm) | Volume (cm^3) |
---|---|---|---|---|
1 | 3.725 | 43.59156156 | 1.27 | 55.36128319 |
2 | 3.725 | 43.59156156 | 4.445 | 193.7644912 |
3 | 5 | 78.53981634 | 1.27 | 99.74556675 |
4 | 5 | 78.53981634 | 4.445 | 349.1094836 |
5 | 5 | 78.53981634 | 20 | 1570.796327 |
6 | 43 | 5808.804816 | 1.27 | 7377.182117 |
7 | 43 | 5808.804816 | 4.445 | 25820.13741 |
8 | 43 | 5808.804816 | 20 | 116176.0963 |
9 | 87.65 | 24135.35625 | 1.27 | 30651.90243 |
10 | 87.65 | 24135.35625 | 4.445 | 107281.6585 |
11 | 87.65 | 24135.35625 | 20 | 482707.1249 |
12 | 87.65 | 24135.35625 | 30.5 | 736128.3655 |
13 | 175.3 | 96541.42499 | 20 | 1930828.5 |
14 | 175.3 | 96541.42499 | 30.5 | 2944513.462 |
The energy required to be applied to perform such feat is therefore...
Material and degree of destruction | Destruction energy (J/cc) | Energy applied (Type 1) (J) | Energy applied (Type 2) (J) | Energy applied (Type 3) (J) | Energy applied (Type 4) (J) | Energy applied (Type 5) (J) | Energy applied (Type 6) (J) | Energy applied (Type 7) (J) | Energy applied (Type 8) (J) | Energy applied (Type 9) (J) | Energy applied (Type 10) (J) | Energy applied (Type 11) (J) | Energy applied (Type 12) (J) | Energy applied (Type 13) (J) | Energy applied (Type 14) (J) |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Volume | n/a | 55.36128319 | 193.7644912 | 99.74556675 | 349.1094836 | 1570.796327 | 7377.182117 | 25820.13741 | 116176.0963 | 30651.90243 | 107281.6585 | 482707.1249 | 736128.3655 | 1930828.5 | 2944513.462 |
Glass - mild frag | 0.75 | 41.52096239 | 145.3233684 | 74.80917506 | 261.8321127 | 1178.097245 | 5532.886588 | 19365.10306 | 87132.07225 | 22988.92683 | 80461.24389 | 362030.3437 | 552096.2742 | 1448121.375 | 2208385.097 |
Glass - v frag | 1 | 55.36128319 | 193.7644912 | 99.74556675 | 349.1094836 | 1570.796327 | 7377.182117 | 25820.13741 | 116176.0963 | 30651.90243 | 107281.6585 | 482707.1249 | 736128.3655 | 1930828.5 | 2944513.462 |
Glass - pulv | 1000 | 55361.28319 | 193764.4912 | 99745.56675 | 349109.4836 | 1570796.327 | 7377182.117 | 25820137.41 | 116176096.3 | 30651902.43 | 107281658.5 | 482707124.9 | 736128365.5 | 1930828500 | 2944513462 |
White pine - mild frag | 3.0337 | 167.9495248 | 587.8233368 | 302.5981259 | 1059.09344 | 4765.324817 | 22380.15739 | 78330.55086 | 352443.4234 | 92988.67641 | 325460.3674 | 1464388.605 | 2233192.623 | 5857554.42 | 8932770.49 |
White pine - v frag | 6.2053 | 343.5333706 | 1202.366797 | 618.9511654 | 2166.329079 | 9747.262447 | 45777.62819 | 160221.6987 | 720907.5306 | 190204.2502 | 665714.8756 | 2995342.522 | 4567897.347 | 11981370.09 | 18271589.39 |
White pine - pulv | 33.0948 | 1832.170595 | 6412.597082 | 3301.059583 | 11553.70854 | 51985.19028 | 244146.3667 | 854512.2835 | 3844824.673 | 1014418.581 | 3550465.032 | 15975095.76 | 24362021.03 | 63900383.03 | 97448084.13 |
Live oak - mild frag | 18.3401 | 1015.33147 | 3553.660144 | 1829.343669 | 6402.702841 | 28808.56171 | 135298.2577 | 473543.9021 | 2130681.224 | 562158.9558 | 1967556.345 | 8852896.942 | 13500667.84 | 35411587.77 | 54002671.35 |
Live oak - v frag | 19.5811 | 1084.034822 | 3794.121878 | 1953.127917 | 6835.94771 | 30757.91995 | 144453.3407 | 505586.6926 | 2274855.76 | 600197.9667 | 2100692.884 | 9451936.484 | 14414203.14 | 37807745.94 | 57656812.55 |
Live oak - pulv | 61.3633 | 3397.151029 | 11890.0286 | 6120.717136 | 21422.50998 | 96389.24624 | 452688.2394 | 1584408.838 | 7128948.652 | 1880901.885 | 6583156.596 | 29620502.12 | 45171265.73 | 118482008.5 | 180685062.9 |
Concrete - mild frag | 6 | 332.1676991 | 1162.586947 | 598.4734005 | 2094.656902 | 9424.777961 | 44263.0927 | 154920.8245 | 697056.578 | 183911.4146 | 643689.9511 | 2896242.75 | 4416770.193 | 11584971 | 17667080.77 |
Concrete - v frag | 20 | 1107.225664 | 3875.289823 | 1994.911335 | 6982.189673 | 31415.92654 | 147543.6423 | 516402.7482 | 2323521.927 | 613038.0487 | 2145633.17 | 9654142.499 | 14722567.31 | 38616570 | 58890269.24 |
Concrete - pulv | 40 | 2214.451327 | 7750.579646 | 3989.82267 | 13964.37935 | 62831.85307 | 295087.2847 | 1032805.496 | 4647043.853 | 1226076.097 | 4291266.341 | 19308285 | 29445134.62 | 77233139.99 | 117780538.5 |
R. concrete - mild frag | 20 | 1107.225664 | 3875.289823 | 1994.911335 | 6982.189673 | 31415.92654 | 147543.6423 | 516402.7482 | 2323521.927 | 613038.0487 | 2145633.17 | 9654142.499 | 14722567.31 | 38616570 | 58890269.24 |
R. concrete - v frag | 61 | 3377.038274 | 11819.63396 | 6084.479572 | 21295.6785 | 95818.57593 | 450008.1091 | 1575028.382 | 7086741.876 | 1869766.048 | 6544181.17 | 29445134.62 | 44903830.3 | 117780538.5 | 179615321.2 |
R. concrete - pulv | 102 | 5646.850885 | 19763.9781 | 10174.04781 | 35609.16733 | 160221.2253 | 752472.5759 | 2633654.016 | 11849961.83 | 3126494.048 | 10942729.17 | 49236126.74 | 75085093.28 | 196944507 | 300340373.1 |
Cement - mild frag | 8 | 442.8902655 | 1550.115929 | 797.964534 | 2792.875869 | 12566.37061 | 59017.45694 | 206561.0993 | 929408.7706 | 245215.2195 | 858253.2681 | 3861657 | 5889026.924 | 15446628 | 23556107.7 |
Cement - v frag | 69 | 3819.92854 | 13369.74989 | 6882.444106 | 24088.55437 | 108384.9465 | 509025.5661 | 1781589.481 | 8016150.647 | 2114981.268 | 7402434.438 | 33306791.62 | 50792857.22 | 133227166.5 | 203171428.9 |
Cement - pulv | 214 | 11847.3146 | 41465.60111 | 21345.55128 | 74709.4295 | 336150.4139 | 1578716.973 | 5525509.406 | 24861684.61 | 6559507.121 | 22958274.92 | 103299324.7 | 157531470.2 | 413197298.9 | 630125880.9 |
Iron - mild frag | 20 | 1107.225664 | 3875.289823 | 1994.911335 | 6982.189673 | 31415.92654 | 147543.6423 | 516402.7482 | 2323521.927 | 613038.0487 | 2145633.17 | 9654142.499 | 14722567.31 | 38616570 | 58890269.24 |
Iron - v frag | 42.43 | 2348.979246 | 8221.42736 | 4232.204397 | 14812.71539 | 66648.88815 | 313013.8372 | 1095548.43 | 4929351.767 | 1300560.22 | 4551960.771 | 20481263.31 | 31233926.55 | 81925053.24 | 124935706.2 |
Iron - pulv | 90 | 4982.515487 | 17438.8042 | 8977.101008 | 31419.85353 | 141371.6694 | 663946.3905 | 2323812.367 | 10455848.67 | 2758671.219 | 9655349.267 | 43443641.24 | 66251552.9 | 173774565 | 265006211.6 |
Aluminium - mild frag | 68.9475 | 3817.022072 | 13359.57725 | 6877.207464 | 24070.22612 | 108302.4797 | 508638.264 | 1780233.924 | 8010051.402 | 2113372.043 | 7396802.151 | 33281449.5 | 50754210.48 | 133125798 | 203016841.9 |
Aluminium - v frag | 137.895 | 7634.044145 | 26719.15451 | 13754.41493 | 48140.45225 | 216604.9595 | 1017276.528 | 3560467.848 | 16020102.8 | 4226744.086 | 14793604.3 | 66562898.99 | 101508421 | 266251596 | 406033683.9 |
Aluminium - pulv | 275.79 | 15268.08829 | 53438.30901 | 27508.82985 | 96280.90449 | 433209.919 | 2034553.056 | 7120935.696 | 32040205.61 | 8453488.172 | 29587208.6 | 133125798 | 203016841.9 | 532503191.9 | 812067367.7 |
Steel - mild frag | 208 | 11515.1469 | 40303.01416 | 20747.07788 | 72614.7726 | 326725.636 | 1534453.88 | 5370588.581 | 24164628.04 | 6375595.706 | 22314584.97 | 100403082 | 153114700 | 401612328 | 612458800.1 |
Steel - v frag | 568.5 | 31472.88949 | 110155.1132 | 56705.3547 | 198468.7414 | 892997.7118 | 4193928.033 | 14678748.12 | 66046110.76 | 17425606.53 | 60989622.87 | 274419000.5 | 418488975.8 | 1097676002 | 1673955903 |
Steel - pulv | 1000 | 55361.28319 | 193764.4912 | 99745.56675 | 349109.4836 | 1570796.327 | 7377182.117 | 25820137.41 | 116176096.3 | 30651902.43 | 107281658.5 | 482707124.9 | 736128365.5 | 1930828500 | 2944513462 |
tldr:
Volume of the circular hole (in cc) = pi * (radius in cm)^2 * (thickness of the wall in cm)
Energy required to make a hole in a wall (in joules) = (Volume of the circular hole in cc) * (value of level of destruction for a material in joule/cc)
Explosions from objects other than TNT[]
Please refer to here for explosions by TNT.
In reality though, we often see lots of objects that contain gasoline go boom despite being slightly damaged and/or ignited. This is mainly because fuels in the car contain a lot of energies. A spark can ignite the fuels to go boom but the boom is definitely not due to the AP of the attack but the AP from burning the fuels.
Energy density of gasoline = 34.2 MJ/L
If one object explodes because the object will explode if slightly hit by an attack from the offender, it cannot really count as the true AP of the offender. The offender still attacks an object to explode, but that AP alone is not equal to the explosion.
Also, the values below show only the maximum energy to release in the explosion, as assuming all chemical combustion energy will be released in one single go. As usually the fuel will not be burnt all at once, the explosion actually incurred will obviously not be yielding as much energy.
A car[]
A Toyota Corolla CVT XSE private car has a fuel capacity of 13.2 gal = 49.9674355 L
Now the explosion yield per car = 1,708,886,293.96 J - 0.408433627 ton TNT, Building level
A motorcycle[]
A Yamaha Star Eluder motorcycle has a fuel capacity of 6.6 gal = 24.98371775 L
Explosion yield per motorcycle = 854,443,147 J - 0.204216813 ton TNT, Small Building level+
A 9-tonne truck[]
A Isuzu NQR75 manual goods truck has a fuel capacity of 100 L
Explosion yield per this truck = 3,420,000,000 J - 0.817399618 ton TNT, Building level
A 16-passenger minibus[]
A Toyota 1BZ-FPE Coaster 16-passenger minibus has a fuel capacity of 112 L. Surprisingly fueled up compared with a god damn goods truck huh.
Explosion yield per motorcycle = 3,830,400,000 J - 0.915487572 ton TNT, Building level
A 16-tonne truck[]
A Isuzu FVR34SC-VI manual goods truck has a fuel capacity of 400 L.
Explosion yield per this truck = 13,680,000,000 J - 3.26959847 ton TNT, Large Building level
A 24-tonne or 30-tonne truck[]
A Isuzu CYZ52SX-7S-VI manual goods truck has a fuel capacity of... 400 L. Same for CYH52TX-7S-VI manual goods truck.
Explosion yield per this truck = 13,680,000,000 J - 3.26959847 ton TNT, Large Building level
An M1 Abrams tank[]
An M1 Abrams tank can hold up to 1,900 L of gasoline.
Explosion yield per M1 Abrams = 64,980,000,000 J = 15.53059273 ton TNT, City Block level. Wow.
A family gas cylinder[]
A family gas cylinder contains 12 L of gasoline.
Explosion yield per family gas cylinder = 410,400,000 J = 0.0980879541 ton TNT, Small Building level
An oil tank or barrel[]
A standard oil barrel can carry roughly 170 L refined oil, including gasoline, of course.
Explosion yield per barrel oil = 5,814,000,000 J - 1.38957935 ton TNT, Building level+
Propane tanks[]
Please follow User blog:Votron5/Calculations for Common Feats#Blowing Up a Propane Tank, thanks.
Oil tanker on trucks[]
Here - I am talking the oil tanker as the goods on the trailer of the goods truck. Not the goods truck itself. It holds MUCH more oil than the goods truck itself.
Explosion yield per tanker on a 16-tonne truck = 34.2 MJ/L * 12000 L = 4.104E+11 J or 98.08795411 ton TNT, City Block level+
Explosion yield per tanker on a 24-tonne truck = 34.2 MJ/L * 18000 L = 6.156E+11 J or 147.1319312 ton TNT, Multi-City Block level
Explosion yield per tanker on a 30-tonne truck = 34.2 MJ/L * 23000 L = 7.866E+11 J or 188.001912 ton TNT, Multi-City Block level
Destruction of objects[]
Destroying one whole door[]
Another website says the standard size for a door is 203.2 cm tall, 91.44 cm wide, and 3.334 cm thick. (In case the website link does not work, here is a backup.)
Page backup |
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Volume destroyed is 203.2 cm tall, 91.44 cm wide, and 3.334 cm = 61947.74707 cc
Different materials, different level of destruction (ditto):
Material and degree of destruction | Destruction energy | Energy applied | Tier |
---|---|---|---|
White pine - mild frag | 3.0337 | 187930.8803 | Wall |
White pine - v frag | 6.2053 | 384404.3549 | Wall |
White pine - pulv | 33.0948 | 2050148.3 | Wall |
White oak - mild frag | 7.3774 | 457013.3092 | Wall |
White oak - v frag | 13.7895 | 854228.4582 | Wall |
White oak - pulv | 51.297 | 3177733.582 | Wall |
Live oak - mild frag | 18.3401 | 1136127.876 | Wall |
Live oak - v frag | 19.5811 | 1213005.03 | Wall |
Live oak - pulv | 61.3633 | 3801318.188 | Wall |
Concrete - mild frag | 6 | 371686.4824 | Wall |
Concrete - v frag | 20 | 1238954.941 | Wall |
Concrete - pulv | 40 | 2477909.883 | Wall |
Reinforced concrete - mild frag | 20 | 1238954.941 | Wall |
Reinforced concrete - v frag | 61 | 3778812.571 | Wall |
Reinforced concrete - pulv | 102 | 6318670.201 | Wall |
Cement - mild frag | 8 | 495581.9766 | Wall |
Cement - v frag | 69 | 4274394.548 | Wall |
Cement - pulv | 214 | 13256817.87 | Wall+ |
Iron - mild frag | 20 | 1238954.941 | Wall |
Iron - v frag | 42.43 | 2628442.908 | Wall |
Iron - pulv | 90 | 5575297.236 | Wall |
Aluminium - mild frag | 68.9475 | 4271142.291 | Wall |
Aluminium - v frag | 137.895 | 8542284.582 | Wall |
Aluminium - pulv | 275.79 | 17084569.16 | Wall+ |
Steel - mild frag | 208 | 12885131.39 | Wall+ |
Steel - v frag | 568.5 | 35217294.21 | Small Building |
Steel - pulv | 1000 | 61947747.07 | Small Building |
Destroying one handcuff chain[]
Pic |
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Distance between cuffs: 2.00" or 5.08 cm (measured at 63 px)
Chain thickness = 4 px = 0.322539683 cm
Chain opening thickness = 4 px = 0.322539683 cm
Chain opening length = 22 px = 1.773968254 cm
Chain volume = 1.773968254 * 0.322539683^2 * 2 + 0.322539683^3 * 6 = 0.57042478 cc
Pulverisation of steel = 1000 J/cc
Energy required to destroy 1 chain in a handcuff to rip off it = 1000 * 0.57042478 = 570.4247804 J (Street level)
Pulling force is 2200 N or 224.26095 kg on Earth (Athletic human+).
Destroying a private car[]
Here I would like to recalculate the energy required to destroy a private car because I wish to recalculate the full value of destruction of a whole private car. (This will be useful in estimation of further calculations.)
Mass and Weight of Materials
I will start from a weight of a Toyota Corolla CVT XSE private car which is 2885 lbs or 1311.363636 kg
as of 2015, The average vehicle uses 397 lbs of aluminum. Or 180.454545 kg at 13.7608% of the car.
The highest amount of copper used in an average conventional car is 49 lbs. or 22.2727 kg at 1.6984% of the car.
The amount of glass in an average vehicle is 100 lbs. or 45.45454545 kg at 3.4662% of the car
Plastic makes up 10% of the weight of a car. or 131.1363636 kg
Tires are made up of 14% natural rubber and 27% synthetic rubber with an average weight of 25 lbs. or 11.3398 kg. 14% of the tires is 1.5875720000000002 kg. 27% is 3.0617460000000003 kg. Since there are 4 tires we will time these numbers by 4. The total weight lf natural rubber is 6.350288 kg, or 0.4843% of the car. The total weight of synthetic rubber is 12.246984 kg, or 0.9339% of the car.
The amount of cast iron in an average car is about 87.9 kg. or 6.7029%.
It says that on average 900 kg of steel is used in the making of a vehicle ...
EXCEPT here also says 725.5 kg of steel is used in the making of a vehicle.
So I would just say the rest of the weight is made of steel, that is 825.5481825 kg or 62.9534% of the car.
These all accounts for one total 100% of the weight for the car for the fragmentation of one whole car.
Density of Materials
Aluminum = 2.7 g/cm³
Copper = 8.96 g/cm³
Glass = an average of 5 g/cm³
Plastic = and average of 2.235 g/cc (http://www.tregaltd.com/img/density%20of%20plastics[1].pdf)
Natural Rubber = 0.92 g/cm³
Synthetic Rubber = Wewill use polybutadiene since it is mostly used in car tires. 0.925 g/cm^3
Cast Iron = an average density of 7.3 g/cm³
Steel = an average of 7.9 g/cm³
Volume of Materials
Aluminum = 66835.01684 cm³
Copper = 2485.795455 cm³
Glass = 9090.909091 cm³
Plastic = 58673.9882 cm³
Natural Rubber = 6902.486957 cm³
Synthetic Rubber = 13239.9827 cm³
Cast Iron = 12041.09589 cm³
Steel = 104499.7699 cm³
Energy to Fragment Materials
To find shear strength from tensile strength, just times the ultimate tensile strength by 0.60.
Glass = 0.75 j/cc
Aluminium = 40000 PSI = 275.79 megapascales = 275.79 J/cc
Copper = 25,000 PSI = 172.36893 MPa = 172.36893 J/cc
Plastic = It is insanely difficult for me to find plastic mechanical properties. Polypropylene will be used since it is used for most cars, especially in their bumpers. an average of 38.7 MPa = 38.7 j/cc
Natural Rubber =0.001 GPa = 1 MPa = 1 J/cc
Synthetic Rubber = 4.285714286 MPa = 4.285714286 J/cc
Steel = 208 j/cc
Total Energy
18432429.29 Joules for all the aluminum
428473.9027 Joules for all the copper
6818.181818 Joules for all the glass
2270683.344 Joules for all the plastic
6902.486957 Joules for all the natural rubber
56742.78302 joules for Synthetic Rubber
1794123.288 Joules for all the iron
21735952.15 Joules for all the steel
Adding this all up is 44,732,125.43 Joules = Small Building level
Energy density for destruction of a car = 163.3936569 J/cc < this will be useful for my following calculations on slicing cars in halves.
Destroying a passenger train[]
Mass Transit Railways Hong Kong says an average train weighs around 400 tonnes, which is the equivalent of 70 adult African elephants.
Exact mass of whole train = 5443 kg * 70 = 381010 kg.
An MTR Metro Cammell EMU (DC) passenger train is an 8-car train with legnth 2316 cm, width 311 cm, vehicle height (from base to top of air conditioner flush with crest of roof) 370 cm and "floor height" (from base to floor) 110 cm. It is made of aluminium.
Mass of one train = 381010 kg / 8 = 47626.25 kg.
Aluminium is 2.7 g/cm in density and 275.79 J/cc in shear strength.
Volume of aluminium for whole train = 381010 / 0.0027 = 141114814.8 cm^3
Volume of aluminium for one car in a train = 47626.25 / 0.0027 = 17639351.85 cm^3
Type | Volume (cm^3) | Mild fragmentation value (J) | Tier | Violent fragmentation value (J) | Tier | Pulverisation value (J) | Tier |
---|---|---|---|---|---|---|---|
Whole 8-car train | 141114814.8 | 9729513694 | 2.325409583 ton TNT, Large building | 19459027389 | 4.650819166 ton TNT, Large building | 38918054778 | 9.301638331 ton TNT, Large building+ |
One car | 17639351.85 | 1216189212 | 0.290676198 ton TNT, Building | 2432378424 | 0.581352396 ton TNT, Building | 4864756847 | 1.162704791 ton TNT, Building+ |
The top speed of this train is 90 km/h or 25 m/s
Kinetic energy = 119065625 J or 0.028457367 ton TNT (Small building)
Destroying an LCD Television[]
A "22-inch screen" LCD television
Screen diagonal = 55 cm at 1920:1080
Screen width ~= 48 cm
Screen height ~= 27 cm
LCD glass substrates are very thin and usually is around 0.3 mm to 0.7 mm thick or 0.07 cm
Glass volume = 48 * 27 * 0.07 = 90.72 cc
Violent fragmentation energy for glass = 1 J/cc
Energy to destroy glass part = 90.72 * 1 = 90.72 J
Glass is made of α-quartz whose density is 2.648 g/cc so the glass weight is 0.24022656 kg
Since the whole TV panel (without stand) is 2.55 kg, the panel without glass is 2.30977344 kg.
A television is mostly made of thermoplastics like polyethylene, which has a density of 1.1 g/cc and UTS of 55 MPa, i.e. shear strength = 60% UTS = 33 J/cc.
Plastic portion volume = 2.30977344 kg * 1000 / 1.1 g/cc = 2099.794036 cc
Energy to destroy volume of plastic = 2099.794036 * 33 = 69293.2032 J
Energy to destroy one whole LCD TV panel (without stand) = 69293.2032 J + 90.72 J = 69383.9232 J (Wall Level)
Think about it - destroying a quarter of it still yields 69383.9232 J / 4 = 17345.9808 J (Wall Level)
Punching an LCD Television[]
Usually it means punching a fist-shaped hole with a 4.5 cm radius.
Volume for left + right frames = 4.88 * 30.8 * (51.23 - 47.93665454) = 495.0029957 cc
Material weight (assume 90% hollowness = 495.0029957 cc * 1.1 * 10% = 0.05445033 kg
Volume for bottom + right frames = 4.88 * 47.93665454 * (30.8 - 47.93665454) = 897.2727047 cc
Material weight (assume 90% hollowness = 897.2727047 cc * 1.1 * 10% 0.098699998 kg
Material weight for panel without glass is 2.30977344 kg - 0.05445033 kg - 0.098699998 kg = 2.156623113 kg
Assume solid volume, object volume = Material volume for back = 2.156623113 kg * 1000 / 1.1 g/cc = 1960.566466 cc
Thickness of back = 1960.566466 / 47.93665454 / 26.96436818 = 1.516783515 cm
Volume of TV glass punched = 0.07 * 4.5^2 * pi = 1.979203372 cc
Energy applied to punch TV glass = 1.979203372 J
Volume of TV back punched = 1.516783515 * 4.5^2 * pi = 42.88604353 cc
Energy applied to punch TV back = 1415.239437 J
Energy required to punch through an LCD TV = 1.979203372 + 1415.239437 = 1417.21864 J (Street level)
Destroying a CRT Television[]
Screen width = 26.4 cm ; Screen height = 19.8 cm ; Screen diagonal = 33 cm
Set depth = 36.068 cm ; Set width = 36.322 cm ; Set height = 32.004 cm ; Set weight = 9.5 kg
Glass volume = 1 cm * 26.4 cm * 19.8 cm = 522.72 cc
Destruction energy of screen glass = 522.72 J
Frame width on height = 36.322 - 26.4 = 9.922 cm
Frame height on width = 32.004 - 19.8 = 12.204 cm
Area of frame on height = 26.4 * 12.204 = 322.1856 cm^2
Area of frame on width = 19.8 * 9.922 = 196.4556 cm^2
Area of frame on corner = 9.922 * 12.204 = 121.088088 cm^2
Area of frames = 639.729288 cm^2
Volume of frame = 639.729288 cm^2 * 36.068 = 23073.75596 cc
Material volume of frame (90% hollowness) = 2307.375596 cc
Back thickness (assume 1/2 of Frame width on height) = 9.922 / 2 = 4.961 cm
Volume of back = 2593.21392 cc
Material volume of back (90% hollowness) = 259.321392 cc
Material volume of plastic for back and frame = 2307.375596 cc + 259.321392 cc = 2566.696988 cc
Destruction energy of plastic portion = 2566.696988 cc * 33 J/cc = 84701.0006 J
Glass weight = 522.72 cc * 2.648 g/cc = 1.38416256 kg
Weight of plastic = 2566.696988 * 1.1 = 2.823366687 kg
A television is mainly made of glass for the screen, plastic for the frame and lead for the cathode ray tube part.
Weight of lead = 9.5 - 1.38416256 - 2.823366687 = 5.292470753 kg
Lead volume = 5.292470753 * 1000 / 11.34 = 466.7081793 cc
UTS of lead = 18 MPa, shear strength = lead = 10.8 MPa
Destruction energy of lead portion = 5040.448336 J
Total CRT TV destruction energy = 90264.16894 J (Wall level)
Punching a CRT Television Screen[]
Volume of TV glass punched = 1 * 4.5^2 * pi = 63.61725124 cc
Energy applied to punch TV glass = 63.61725124 J (Human level)
Remember kids, throwing objects on the television is a bad idea.
Energy required to shatter a big cup[]
Picture |
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Your typical small cup (sold here) |
Cup interior height = 495 px (= cm)
Cup interior diameter = 503 px (= cm)
Cup wall thickness = 27 px (= cm)
Cup bottom thickness = 65 px (= cm)
Cup interior volume (i.e. cup capacity) = pi * (503/2)^2 * 495 px^3 = 98362837.94 px^3 = 310 cc
Cup volume occupied = pi x (503/2+27)^2 x (495+65) = 136454637.1 px^3 = 430.0499902 cc
Cup material volume = 120.0499902 cc
I deduced the size of the cup from the pixels. This will be useful later.
Assuming all the potential of the drop turns into the energy to crack a cup
Fragmentation energy of glass = 0.75 J/cc
Fragmentation energy of glass cup = 90.03749268 J (Human level+)
Density of glass = 0.0025 kg per cc
Mass of cup = 0.300124976 kg
Theoretical height required to shatter the whole cup = PE / m / g = 30.58103976 m
Fragmentation energy of ceramic = 3.4 J/cc
Fragmentation energy of ceramic cup = 408.1699668 J (Street level)
Density of ceramic = 0.002 to 0.006 kg per cc. Average of say 0.004 kg per cc
Mass of cup = 0.480199961 kg
Theoretical height required to shatter the whole cup = PE / m / g = 86.64627931 m
The height required to shatter a whole cup seems much higher than what an angry diner needs to destroy a cup. Because the dinner does not need to destroy the whole cup given the height of the table from the floor. Usually the height fallen will make the cup crack with a crack that split a cup in two (or a small piece off). The cup just does not turn into grains or even dust.
Energy to fragment a cup by forming a 1 mm vertical crack[]
Volume of the crack on the cup = 0.1 cm * (0.395859111 cm * 7.25741704 cm * 2 + 0.952994157 cm * (7.374708628 cm + 0.395859111 cm * 2) = 1.352838639 cc
Assuming all the potential of the drop turns into the energy to crack a cup
Fragmentation energy of glass = 0.75 J/cc
Fragmentation energy of glass cup crack = 1.014628979 J (Below Average Human level+)
Density of glass = 0.0025 kg per cc
Mass of the whole cup = 0.300124976 kg
Theoretical height required to shatter the whole cup = PE / m / g = 0.344616539 m
Fragmentation energy of ceramic = 3.4 J/cc
Fragmentation energy of ceramic cup crack = 4.599651372 J (Below Average Human level+)
Density of ceramic = 0.002 to 0.006 kg per cc. Average of say 0.004 kg per cc
Mass of the whole cup = 0.480199961 kg
Theoretical height required to shatter the whole cup = PE / m / g = 0.976413529 m
Much more realistic for a cup breaking feat.
Energy to shatter a vase[]
Attrbiute | XS | S | M | L | "Human-sized" |
---|---|---|---|---|---|
Vase wall thickness (cm) | 0.16 | 0.164525695 | 0.178885438 | 0.2 | 0.64 |
Vase interior height (cm) | 16 | 32 | 32 | 64 | 128 |
Vase bottom thickness (cm) | 0.4 | 0.411314238 | 0.447213595 | 0.5 | 1.6 |
Vase interior diameter (cm) | 8 | 8 | 16 | 16 | 32 |
Vase interior capacity (cc) | 804.2477193 | 1608.495439 | 6433.981755 | 12867.96351 | 102943.7081 |
Vase exterior occupying volume (cc) | 891.6211915 | 1765.94676 | 6818.918983 | 13625.02451 | 112735.7136 |
Vase material volume (cc) | 87.37347223 | 157.4513212 | 384.9372282 | 757.0609977 | 9792.005512 |
Total glass fragmentation volume (J) | 65.53010417 (Human) | 118.0884909 (Athletic Human) | 288.7029212 (Athletic Human+) | 567.7957482 (Street) | 7344.004134 (Street) |
Total ceramic fragmentation volume (J) | 297.0698056 (Athletic Human+) | 535.3344919 (Street) | 1308.786576 (Street) | 2574.007392 (Street) | 33292.81874 (Wall) |
Given a vase weighing around 0.3 kg for a small vase and a thin wall, knocking it over will pretty much break a vase with cracks around the vase. But the values above refers to total destruction of the whole vase - with a lot of cracks all over the vase (and all over the floor) - breaking a vase by knocking over it is much easier than punching a vase to make it explode into oblivion.
Energy to break an airplane wing with a punch[]
“ | The minimum skin thickness on, for example, DC-8 and DC-9 airplanes is .127cm (0.050 in.). Thickness varies between airplanes based on a number of factors. Most important is the load distribution the airplane will experience when it is flying. On another typical commercial airplane type, the 727, minimum skin thickness is .097 cm (0.038 inches).
It may be useful in determining the energy required to break an airplane wing. |
„ |
~ howthingsfly.si.edu |
A wing of Boeing C-17 Globemaster III has a rough chord length of 6.86m and a material thickness of 0.127cm for one wall (assuming breaking two walls for each wing to break).
A human fist can be 6 cm wide.
Volume = 686 cm x 0.127 cm x 2 x 6 cm = 1045.464 cc
Destruction energy of aluminium = 40000 PSI = 275.79 megapascales = 275.79 J/cc
Energy required to break an aircraft wing in 1 hit = 1045.464 cc x 275.79 J/cc = 288328.5166 J (Wall Level)
This may be useful in determining the AP of Dan Hibiki as he can punch and break a wing of an aircraft.
Energy to completely destroy a bowling ball[]
A bowling ball's diameter varies from 21.59 cm to 22.83 cm. I shall average them to have 22.21 cm. Which means radius is 11.105 cm
Volume = pi * 4/3 * r^3 = 5736.464337 cm^3
Bowling balls are usually made of polyurethane. UTS of polyurethane is 39 MPa.
Destruction energy (shattering the whole bowling ball) = 5736.464337 * 39 (ultimate tensile strength) = 223722.1091 Joules (Wall level)
Denting energy (permanently disfiguring the said bowling ball) = 5736.464337 * 39 * 0.6 (shear strength) = 134233.2655 Joules (Wall level)
Sawing and clean cutting feats[]
Very often we see things being cut clean in halves as if they have been sawed through. Here we shall pick a few common feats to calculate. Some may be actually recycled from my previous calculations.
Cutting a bowling ball in half[]
(ditto)
Saw thicknesses are around 1.5 mm to 3.0 mm. I say 0.225 cm thickness is appropriate.
Volume cut = pi * 11.105^2 * 0.225 = 87.17049589 cm^3
Energy yield = 87.17049589 * 39 = 3399.64934 Joules (Street level)
Cutting through a table[]
Please go to here for full destruction of a table.
This site suggests rectangular tables are 36 to 40 inches wide, and 48 inches for a four-people table. I'll take 40 inches as the width.
48 inches is 121.92 cm. 40 inches is 101.6 cm. The thickness is 3.175 cm.
Diagonals for that is (101.6^2 + 121.2^2)^0.5 cm = 158.7042734 cm
Saw thicknesses are around 1.5 mm to 3.0 mm. I say 0.225 cm thickness is appropriate.
Now, volume cut off would likely be pulverised. Also, Those tables are likely made of different material.
Cutting direction | Dimension cut 1 (cm) | Dimension cut 2 (cm) | Dimension cut 3 (cm) | Volume cut (cc) | Energy/cc for white pine pulverised (J/cc) | Energy for white pine pulverised (J) | Tier (White pine) | Energy/cc for live oak pulverised (J/cc) | Energy for live oak pulverised (J) | Tier (Live oak) | Energy/cc for iron pulverised (J/cc) | Energy for iron pulverised (J) | Tier (Iron) | Energy/cc for granite pulverised (J/cc) | Energy for granite pulverised (J) | Tier (Granite) | Energy/cc for aluminium pulverised (J/cc) | Energy for aluminium pulverised (J) | Tier (Aluminium) | Energy/cc for steel pulverised (J/cc) | Energy for steel pulverised (J) | Tier (Steel) |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Cut at width | 101.6 | 3.175 | 0.225 | 72.5805 | 33.0948 | 2402.037131 | Street | 61.3633 | 4453.778996 | Street | 90 | 6532.245 | Street | 200 | 14516.1 | Street+ | 275.79 | 20016.9761 | Wall | 1000 | 72580.5 | Wall |
Cut at length | 121.92 | 3.175 | 0.225 | 87.0966 | 33.0948 | 2882.444558 | Street | 61.3633 | 5344.534795 | Street | 90 | 7838.694 | Street+ | 200 | 17419.32 | Wall | 275.79 | 24020.37131 | Wall | 1000 | 87096.6 | Wall |
Cut at diagonal | 158.7043 | 3.175 | 0.225 | 113.3743653 | 33.0948 | 3752.101945 | Street | 61.3633 | 6957.025191 | Street | 90 | 10203.69288 | Street+ | 200 | 22674.87306 | Wall | 275.79 | 31267.51621 | Wall | 1000 | 113374.3653 | Wall |
Cut at plane cross-section | 101.6 | 121.92 | 0.225 | 2787.0912 | 33.0948 | 92238.22585 | Wall | 61.3633 | 171025.1134 | Wall | 90 | 250838.208 | Wall | 200 | 557418.24 | Wall | 275.79 | 768651.882 | Wall | 1000 | 2787091.2 | Wall |
Full pulverisation | 101.6 | 121.92 | 3.175 | 39328.9536 | 33.0948 | 1301583.854 | Wall | 61.3633 | 2413354.378 | Wall | 90 | 3539605.824 | Wall | 200 | 7865790.72 | Wall | 275.79 | 10846532.11 | Wall+ | 1000 | 39328953.6 | Small building |
Full violent fragmentation | 101.6 | 121.92 | 3.175 | 39328.9536 | 6.2053 | 244047.9558 | Wall | 19.5811 | 770104.1733 | Wall | 42.43 | 1668727.501 | Wall | 100 | 3932895.36 | Wall | 137.895 | 5423266.057 | Wall | 568.5 | 22358510.12 | Small building |
Full fragmentation | 101.6 | 121.92 | 3.175 | 39328.9536 | 3.0337 | 119312.2465 | Wall | 18.3401 | 721296.9419 | Wall | 20 | 786579.072 | Wall | 50 | 1966447.68 | Wall | 68.9475 | 2711633.028 | Wall | 208 | 8180422.349 | Wall |
Cutting through a table leg[]
Cylinder leg[]
this site says legs are 2 cm in radius and 70 cm in height.
Volume cut by circumference = pi * r^2 * saw thickness
Volume cut by longtitude = 2r * height * saw thickness
Now, volume cut off (ditto)
Cutting direction | Dimension cut 1 (cm) | Dimension cut 2 (cm) | Dimension cut 3 (cm) | Volume cut (cc) | Energy/cc for white pine pulverised (J/cc) | Energy for white pine pulverised (J) | Tier (White pine) | Energy/cc for live oak pulverised (J/cc) | Energy for live oak pulverised (J) | Tier (Live oak) | Energy/cc for iron pulverised (J/cc) | Energy for iron pulverised (J) | Tier (Iron) | Energy/cc for granite pulverised (J/cc) | Energy for granite pulverised (J) | Tier (Granite) | Energy/cc for aluminium pulverised (J/cc) | Energy for aluminium pulverised (J) | Tier (Aluminium) | Energy/cc for steel pulverised (J/cc) | Energy for steel pulverised (J) | Tier (Steel) |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Cut at circumference | (radius = 2 cm) | (diameter = 4 cm) | 0.225 | 2.827433388 | 33.0948 | 93.5733425 | Human+ | 61.3633 | 173.5006432 | Athletic human | 90 | 254.4690049 | Street | 200 | 565.4866776 | Street | 275.79 | 779.7778541 | Street | 1000 | 2827.433388 | Street |
Cut at longtitude | 4 | 70 | 0.225 | 63 | 33.0948 | 2084.9724 | Street | 61.3633 | 3865.8879 | Street | 90 | 5670 | Street | 200 | 12600 | Street+ | 275.79 | 17374.77 | Wall | 1000 | 63000 | Wall |
Full pulverisation | (radius = 2 cm) | (diameter = 4 cm) | 70 | 879.645943 | 33.0948 | 29111.70655 | Wall | 61.3633 | 53977.97789 | Wall | 90 | 79168.13487 | Wall | 200 | 175929.1886 | Wall | 275.79 | 242597.5546 | Wall | 1000 | 879645.943 | Wall |
Full violent fragmentation | (radius = 2 cm) | (diameter = 4 cm) | 70 | 879.645943 | 6.2053 | 5458.46697 | Street | 19.5811 | 17224.43517 | Wall | 42.43 | 37323.37736 | Wall | 100 | 87964.5943 | Wall | 137.895 | 121298.7773 | Wall | 568.5 | 500078.7186 | Wall |
Full fragmentation | (radius = 2 cm) | (diameter = 4 cm) | 70 | 879.645943 | 3.0337 | 2668.581897 | Street | 18.3401 | 16132.79456 | Wall | 20 | 17592.91886 | Wall | 50 | 43982.29715 | Wall | 68.9475 | 60649.38866 | Wall | 208 | 182966.3561 | Wall |
Rectangular leg[]
this site says legs are 3 cm in width, 4 cm in length and 70 cm in height.
Now, volume cut off (ditto)
Cutting direction | Dimension cut 1 (cm) | Dimension cut 2 (cm) | Dimension cut 3 (cm) | Volume cut (cc) | Energy/cc for white pine pulverised (J/cc) | Energy for white pine pulverised (J) | Tier (White pine) | Energy/cc for live oak pulverised (J/cc) | Energy for live oak pulverised (J) | Tier (Live oak) | Energy/cc for iron pulverised (J/cc) | Energy for iron pulverised (J) | Tier (Iron) | Energy/cc for granite pulverised (J/cc) | Energy for granite pulverised (J) | Tier (Granite) | Energy/cc for aluminium pulverised (J/cc) | Energy for aluminium pulverised (J) | Tier (Aluminium) | Energy/cc for steel pulverised (J/cc) | Energy for steel pulverised (J) | Tier (Steel) |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Cut at width | 3 | 70 | 0.225 | 47.25 | 33.0948 | 1563.7293 | Street | 61.3633 | 2899.415925 | Street | 90 | 4252.5 | Street | 200 | 9450 | Street+ | 275.79 | 13031.0775 | Street+ | 1000 | 47250 | Wall |
Cut at length | 4 | 70 | 0.225 | 63 | 33.0948 | 2084.9724 | Street | 61.3633 | 3865.8879 | Street | 90 | 5670 | Street | 200 | 12600 | Street+ | 275.79 | 17374.77 | Wall | 1000 | 63000 | Wall |
Cut at diagonal | 5 | 70 | 0.225 | 78.75 | 33.0948 | 2606.2155 | Street | 61.3633 | 4832.359875 | Street | 90 | 7087.5 | Street+ | 200 | 15750 | Wall | 275.79 | 21718.4625 | Wall | 1000 | 78750 | Wall |
Cut at plane cross-section | 3 | 4 | 0.225 | 2.7 | 33.0948 | 89.35596 | Human | 61.3633 | 165.68091 | Athletic human | 90 | 243 | Athletic human+ | 200 | 540 | Street | 275.79 | 744.633 | Street | 1000 | 2700 | Street |
Full pulverisation | 3 | 4 | 70 | 840 | 33.0948 | 27799.632 | Wall | 61.3633 | 51545.172 | Wall | 90 | 75600 | Wall | 200 | 168000 | Wall | 275.79 | 231663.6 | Wall | 1000 | 840000 | Wall |
Full violent fragmentation | 3 | 4 | 70 | 840 | 6.2053 | 5212.452 | Street | 19.5811 | 16448.124 | Wall | 42.43 | 35641.2 | Wall | 100 | 84000 | Wall | 137.895 | 115831.8 | Wall | 568.5 | 477540 | Wall |
Full fragmentation | 3 | 4 | 70 | 840 | 3.0337 | 2548.308 | Street | 18.3401 | 15405.684 | Wall | 20 | 16800 | Wall | 50 | 42000 | Wall | 68.9475 | 57915.9 | Wall | 208 | 174720 | Wall |
Thicker rectangular leg[]
Ikea prefers to sell wooden tables with metal legs. I am finding another site for cutting a thicker wooden leg.
I would just assume a 6 cm x 8 cm x 70 cm table leg. Fite me.
(Ditto~ I choose you~)
Cutting direction | Dimension cut 1 (cm) | Dimension cut 2 (cm) | Dimension cut 3 (cm) | Volume cut (cc) | Energy/cc for white pine pulverised (J/cc) | Energy for white pine pulverised (J) | Tier (White pine) | Energy/cc for live oak pulverised (J/cc) | Energy for live oak pulverised (J) | Tier (Live oak) | Energy/cc for iron pulverised (J/cc) | Energy for iron pulverised (J) | Tier (Iron) | Energy/cc for granite pulverised (J/cc) | Energy for granite pulverised (J) | Tier (Granite) | Energy/cc for aluminium pulverised (J/cc) | Energy for aluminium pulverised (J) | Tier (Aluminium) | Energy/cc for steel pulverised (J/cc) | Energy for steel pulverised (J) | Tier (Steel) |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Cut at width | 6 | 70 | 0.225 | 94.5 | 33.0948 | 3127.4586 | Street | 61.3633 | 5798.83185 | Street | 90 | 8505 | Street+ | 200 | 18900 | Wall | 275.79 | 26062.155 | Wall | 1000 | 94500 | Wall |
Cut at length | 8 | 70 | 0.225 | 126 | 33.0948 | 4169.9448 | Street | 61.3633 | 7731.7758 | Street+ | 90 | 11340 | Street+ | 200 | 25200 | Wall | 275.79 | 34749.54 | Wall | 1000 | 126000 | Wall |
Cut at diagonal | 5 | 70 | 0.225 | 157.5 | 33.0948 | 5212.431 | Street | 61.3633 | 9664.71975 | Street+ | 90 | 14175 | Street+ | 200 | 31500 | Wall | 275.79 | 43436.925 | Wall | 1000 | 157500 | Wall |
Cut at plane cross-section | 6 | 8 | 0.225 | 2.7 | 33.0948 | 357.42384 | Street | 61.3633 | 662.72364 | Street | 90 | 972 | Street | 200 | 2160 | Street | 275.79 | 2978.532 | Street | 1000 | 10800 | Street+ |
Full pulverisation | 6 | 8 | 70 | 3360 | 33.0948 | 111198.528 | Wall | 61.3633 | 206180.688 | Wall | 90 | 302400 | Wall | 200 | 672000 | Wall | 275.79 | 926654.4 | Wall | 1000 | 3360000 | Wall |
Full violent fragmentation | 6 | 8 | 70 | 3360 | 6.2053 | 20849.808 | Wall | 19.5811 | 65792.496 | Wall | 42.43 | 142564.8 | Wall | 100 | 336000 | Wall | 137.895 | 463327.2 | Wall | 568.5 | 1910160 | Wall |
Full fragmentation | 6 | 8 | 70 | 3360 | 3.0337 | 10193.232 | Street+ | 18.3401 | 61622.736 | Wall | 20 | 67200 | Wall | 50 | 168000 | Wall | 68.9475 | 231663.6 | Wall | 208 | 698880 | Wall |
Cutting a chair seat[]
Chair seat: 45 cm width x 47 cm length (depth) x 6 cm thickness (height)
Cutting direction | Dimension cut 1 (cm) | Dimension cut 2 (cm) | Dimension cut 3 (cm) | Volume cut (cc) | Energy/cc for white pine pulverised (J/cc) | Energy for white pine pulverised (J) | Tier (White pine) | Energy/cc for live oak pulverised (J/cc) | Energy for live oak pulverised (J) | Tier (Live oak) | Energy/cc for iron pulverised (J/cc) | Energy for iron pulverised (J) | Tier (Iron) | Energy/cc for granite pulverised (J/cc) | Energy for granite pulverised (J) | Tier (Granite) | Energy/cc for aluminium pulverised (J/cc) | Energy for aluminium pulverised (J) | Tier (Aluminium) | Energy/cc for steel pulverised (J/cc) | Energy for steel pulverised (J) | Tier (Steel) |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Cut at width | 45 | 6 | 0.225 | 60.75 | 33.0948 | 2010.5091 | Street | 61.3633 | 3727.820475 | Street | 90 | 5467.5 | Street | 200 | 12150 | Street+ | 275.79 | 16754.2425 | Wall | 1000 | 60750 | Wall |
Cut at length | 47 | 6 | 0.225 | 63.45 | 33.0948 | 2099.86506 | Street | 61.3633 | 3893.501385 | Street | 90 | 5710.5 | Street | 200 | 12690 | Street+ | 275.79 | 17498.8755 | Wall | 1000 | 63450 | Wall |
Cut at diagonal | 65.06919394 | 6 | 0.225 | 87.84341182 | 33.0948 | 2907.160145 | Street | 61.3633 | 5390.361632 | Street | 90 | 7905.907064 | Street+ | 200 | 17568.68236 | Wall | 275.79 | 24226.33455 | Wall | 1000 | 87843.41182 | Wall |
Cut at plane cross-section | 45 | 47 | 0.225 | 475.875 | 33.0948 | 15748.98795 | Wall | 61.3633 | 29201.26039 | Wall | 90 | 42828.75 | Wall | 200 | 95175 | Wall | 275.79 | 131241.5663 | Wall | 1000 | 475875 | Wall |
Full pulverisation | 45 | 47 | 6 | 12690 | 33.0948 | 419973.012 | Wall | 61.3633 | 778700.277 | Wall | 90 | 1142100 | Wall | 200 | 2538000 | Wall | 275.79 | 3499775.1 | Wall | 1000 | 12690000 | Wall+ |
Full violent fragmentation | 45 | 47 | 6 | 12690 | 6.2053 | 78745.257 | Wall | 19.5811 | 248484.159 | Wall | 42.43 | 538436.7 | Wall | 100 | 1269000 | Wall | 137.895 | 1749887.55 | Wall | 568.5 | 7214265 | Wall |
Full fragmentation | 45 | 47 | 6 | 12690 | 3.0337 | 38497.653 | Wall | 18.3401 | 232735.869 | Wall | 20 | 253800 | Wall | 50 | 634500 | Wall | 68.9475 | 874943.775 | Wall | 208 | 2639520 | Wall |
Cutting a chair back[]
Here I am assuming chairs with solid back. Reduce your chair volume accordingly if the chair is hollow to a percentage.
Chair back: 45 cm width x 39 cm length x 6 cm thickness (height)
Cutting direction | Dimension cut 1 (cm) | Dimension cut 2 (cm) | Dimension cut 3 (cm) | Volume cut (cc) | Energy/cc for white pine pulverised (J/cc) | Energy for white pine pulverised (J) | Tier (White pine) | Energy/cc for live oak pulverised (J/cc) | Energy for live oak pulverised (J) | Tier (Live oak) | Energy/cc for iron pulverised (J/cc) | Energy for iron pulverised (J) | Tier (Iron) | Energy/cc for granite pulverised (J/cc) | Energy for granite pulverised (J) | Tier (Granite) | Energy/cc for aluminium pulverised (J/cc) | Energy for aluminium pulverised (J) | Tier (Aluminium) | Energy/cc for steel pulverised (J/cc) | Energy for steel pulverised (J) | Tier (Steel) |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Cut at width | 45 | 6 | 0.225 | 60.75 | 33.0948 | 2010.5091 | Street | 61.3633 | 3727.820475 | Street | 90 | 5467.5 | Street | 200 | 12150 | Street+ | 275.79 | 16754.2425 | Wall | 1000 | 60750 | Wall |
Cut at length | 39 | 6 | 0.225 | 52.65 | 33.0948 | 1742.44122 | Street | 61.3633 | 3230.777745 | Street | 90 | 4738.5 | Street | 200 | 10530 | Street+ | 275.79 | 14520.3435 | Wall | 1000 | 52650 | Wall |
Cut at diagonal | 59.54829972 | 6 | 0.225 | 80.39020463 | 33.0948 | 2660.497744 | Street | 61.3633 | 4933.008244 | Street | 90 | 7235.118416 | Street+ | 200 | 16078.04093 | Wall | 275.79 | 22170.81453 | Wall | 1000 | 80390.20463 | Wall |
Cut at plane cross-section | 45 | 39 | 0.225 | 394.875 | 33.0948 | 13068.30915 | Street+ | 61.3633 | 24230.83309 | Wall | 90 | 35538.75 | Wall | 200 | 78975 | Wall | 275.79 | 108902.5763 | Wall | 1000 | 394875 | Wall |
Full pulverisation | 45 | 39 | 6 | 10530 | 33.0948 | 348488.244 | Wall | 61.3633 | 646155.549 | Wall | 90 | 947700 | Wall | 200 | 2106000 | Wall | 275.79 | 2904068.7 | Wall | 1000 | 10530000 | Wall+ |
Full violent fragmentation | 45 | 39 | 6 | 10530 | 6.2053 | 65341.809 | Wall | 19.5811 | 206188.983 | Wall | 42.43 | 446787.9 | Wall | 100 | 1053000 | Wall | 137.895 | 1452034.35 | Wall | 568.5 | 5986305 | Wall |
Full fragmentation | 45 | 39 | 6 | 10530 | 3.0337 | 31944.861 | Wall | 18.3401 | 193121.253 | Wall | 20 | 210600 | Wall | 50 | 526500 | Wall | 68.9475 | 726017.175 | Wall | 208 | 2190240 | Wall |
Cutting a chair leg[]
Chair leg: 5 cm x 6 cm x 40 cm
Cutting direction | Dimension cut 1 (cm) | Dimension cut 2 (cm) | Dimension cut 3 (cm) | Volume cut (cc) | Energy/cc for white pine pulverised (J/cc) | Energy for white pine pulverised (J) | Tier (White pine) | Energy/cc for live oak pulverised (J/cc) | Energy for live oak pulverised (J) | Tier (Live oak) | Energy/cc for iron pulverised (J/cc) | Energy for iron pulverised (J) | Tier (Iron) | Energy/cc for granite pulverised (J/cc) | Energy for granite pulverised (J) | Tier (Granite) | Energy/cc for aluminium pulverised (J/cc) | Energy for aluminium pulverised (J) | Tier (Aluminium) | Energy/cc for steel pulverised (J/cc) | Energy for steel pulverised (J) | Tier (Steel) |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Cut at width | 5 | 40 | 0.225 | 45 | 33.0948 | 1489.266 | Street | 61.3633 | 2761.3485 | Street | 90 | 4050 | Street | 200 | 9000 | Street+ | 275.79 | 12410.55 | Street+ | 1000 | 45000 | Wall |
Cut at length | 6 | 40 | 0.225 | 54 | 33.0948 | 1787.1192 | Street | 61.3633 | 3313.6182 | Street | 90 | 4860 | Street | 200 | 10800 | Street+ | 275.79 | 14892.66 | Street+ | 1000 | 54000 | Wall |
Cut at diagonal | 7.810249676 | 40 | 0.225 | 70.29224708 | 33.0948 | 2326.307859 | Street | 61.3633 | 4313.364245 | Street | 90 | 6326.302237 | Street+ | 200 | 14058.44942 | Street+ | 275.79 | 19385.89882 | Wall | 1000 | 70292.24708 | Wall |
Cut at plane cross-section | 5 | 6 | 0.225 | 6.75 | 33.0948 | 223.3899 | Street | 61.3633 | 414.202275 | Street | 90 | 607.5 | Street | 200 | 1350 | Street | 275.79 | 1861.5825 | Street | 1000 | 6750 | Street |
Full pulverisation | 5 | 6 | 40 | 1200 | 33.0948 | 39713.76 | Wall | 61.3633 | 73635.96 | Wall | 90 | 108000 | Wall | 200 | 240000 | Wall | 275.79 | 330948 | Wall | 1000 | 1200000 | Wall |
Full violent fragmentation | 5 | 6 | 40 | 1200 | 6.2053 | 7446.36 | Street | 19.5811 | 23497.32 | Wall | 42.43 | 50916 | Wall | 100 | 120000 | Wall | 137.895 | 165474 | Wall | 568.5 | 682200 | Wall |
Full fragmentation | 5 | 6 | 40 | 1200 | 3.0337 | 3640.44 | Street | 18.3401 | 22008.12 | Wall | 20 | 24000 | Wall | 50 | 60000 | Wall | 68.9475 | 82737 | Wall | 208 | 249600 | Wall |
Stabbing through a plate armor[]
A "knight sword" (or broad sword) blade is typically 31 3/8 inches long, 2 inches wide, and .192 inches thick. That should translate into a stabbing area of 2 inches (5.08 cm) by 0.192 inch (0.48768 cm).
Here says the typical full plate armor is typically 3 mm and by common sense is made of copper or even high grade steel.
The minimum volume to destroy would be 5.08cm * 0.48768cm * 0.3cm = 0.74322432 cc?
Nah expect the width effected by blade width and blade thickness be doubled, i.e 2^2 * 0.74322432 cc = 2.97289728 cc
Frag/V Frag/Pulv energy of copper is assumed to be the low/median/high end of Brinell hardness of copper at 235–878 MPa, i.e. 235/556.5/878 J/cc.
Respective energy required: 698.6308608 J / 1654.417336 J / 2610.203812 J (Street level)
Frag/V Frag/Pulv energy of steel is given here as 208/568.5/1000 J/cc.
Respective energy required: 618.3626342 J / 1690.092104 J / 2972.89728 J (Street level)
Slashing through a plate armor[]
Similar except the length of front waist will be cut, ~ 50 cm
Volume destroyed ~= 14.6304 cc
Frag/V Frag/Pulv energy of copper = 3438.144 J / 8141.8176 J / 12845.4912 J (Street level/Street level+/Street level+)
Frag/V Frag/Pulv energy of steel = 3043.1232 J / 8317.3824 J / 14630.4 J (Street level/Street level+/Street level+)
Stabbing a human head at the neck[]
This site says, at BMI of 23.0 and 25.0, males had neck circumference 35.7cm and 37.5cm, while females had it at of 32.2cm and 33.5cm respectively. This averages the neck circumference to be 34.175 cm and radius be ~5.43912018 cm.
C3 vertebral body: The vertebral body is a cylinder. The mean height is 15.1 mm and the radius 7.34 mm.
The shear strength of bones is 51.6 MPa or J/cc
Volume of neck stabbed = width of blade * thickness of blade * 2 * radius of neck = 5.08 * 0.48768 * 2 * 5.43912018 = 26.94990932 cc
Volume of neck bone stabbed = pi * radius of C3^2 * thickness of blade = pi * 0.734^2 * 0.48768 = 0.825423707 cc
Energy to stab the neck bone = 51.6 * 0.825423707 = 42.59186326 J
Volume of neck flesh stabbed = 26.12448561 cc
Energy to stab the neck flesh = 337.0058644 J
Energy to stab the neck = 42.59186326 J + 337.0058644 J = 379.5977276 J (Street level)
Slashing a human head off at the neck[]
Volume of neck slashed = width of blade * area of neck = 0.48768 * pi * 5.43912018^2 = 45.32545034 cc
Volume of neck bone slashed = pi * radius of C3^2 * thickness of blade = pi * 0.734^2 * 0.48768 = 0.825423707 cc
Energy to slash the neck bone = 42.59186326 J
Volume of neck flesh slashed = 44.50002663 cc
Energy to slash the neck flesh = 574.0503435 J
Energy to slash the neck = 42.59186326 J + 574.0503435 J = 616.6422068 J (Street level)
Stabbing a human body at the waist[]
Here says the average American waist circumference is 34 to 35 inches - averaged to 34.5 in or 87.63 cm. That makes the human waist width ~32 cm and waist thickness ~23.06716634 cm.
T3 Vertabral body: The verabral body is cylinder shaped. When finding the average of the anterior and posterior height means of the vertebrae, I get 16.9 mm. Its mean diameter is 24.34 mm.
The shear strength of bones is 51.6 MPa or J/cc
Volume of waist stabbed = width of blade * thickness of blade * thickness of waist = 5.08 * 0.48768 * 23.06716634 = 57.14693006 cc
Volume of waist bone stabbed = pi * radius of T3^2 * thickness of blade = pi * 2.434^2 * 0.48768 = 2.269164468 cc
Energy to stab the waist bone = 51.6 * 2.269164468 = 117.0888865 J
Volume of waist flesh stabbed = 54.87776559 cc
Energy to stab the waist flesh = 707.9231762 J
Energy to stab the waist = 117.0888865 J + 707.9231762 J = 825.0120627 J (Street level)
Slashing a human body off at the waist[]
a.k.a. horizontally cutting a human off
Volume of waist slashed = width of blade * area of waist = 0.48768 * pi * 32 * 23.06716634 = 282.7281506 cc
Volume of waist bone stabbed = pi * radius of T3^2 * thickness of blade = pi * 2.434^2 * 0.48768 = 2.269164468 cc
Energy to slash the waist bone = 117.0888865 J
Volume of waist flesh slashed = 280.4589862 cc
Energy to slash the waist flesh = 3617.920922 J
Energy to slash the waist = 3617.920922 + 117.0888865 = 3735.009808 J (Street level)
Strong Japanese samurai and European swordsman are Street Level confirmed.
Cutting off a tree[]
Please follow here for energy required to destroy one whole tree trunk.
Size of Tree
A fully grown white oak = 30 m height, 1.27 meter diameter.
In fiction, very few tree cutting feats are following what here are advising. Either the tree is cut horizontally and miraculously it fell on one direction, or it is cut at 30 degrees from the horizon and the tree slides down following the slope. I will discuss both. I will also include vertical cutting.
Makes me think of this |
---|
Ah this is for cutting a FULLY GROWN tree. So adjust the size ratio when you cut a tree of different size say a tree of only 7.5 m tall in height and 31.75 cm thick in diameter.
For quick calculation I will also be including that "smaller tree" as well.
Total Destruction Value of a tree[]
Total volume of:
Big tree = 3000 cm * pi * (127 cm / 2)^2 = 38003060.93 cc
Smaller tree = 750 cm * pi * (31.75 cm / 2)^2 = 593797.8271 cc
Total fragmentation energy of:
Big tree = 38003060.93 * 18.3401 = 696979937.8 J = 0.166582203 ton TNT (Small Building level+)
Smaller tree = 593797.8271 * 18.3401 = 10890311.53 J = 0.002602847 ton TNT (Wall level+)
Total violent fragmentation energy of:
Big tree = 38003060.93 * 19.5811 = 744141736.4 J = 0.177854144 ton TNT (Small Building level+)
Smaller tree = 593797.8271 * 19.5811 = 11627214.63 J = 0.002778971 ton TNT (Wall level+)
Total pulverisation energy of:
Big tree = 38003060.93 * 61.3633 = 2331993229 J = 0.557359758 ton TNT (Building level)
Smaller tree = 593797.8271 * 61.3633 = 36437394.2 J = 0.008708746 ton TNT (Small Building level)
Vertical cutting off a tree[]
While saw thicknesses are around 1.5 mm to 3.0 mm, I take 0.225 cm thickness as appropriate.
Volume sawed:
Big tree = 3000 cm * 127 cm * 0.225 cm = 85725 cc
Smaller tree = 750 cm * 31.75 cm * 0.225 cm = 5357.8125 cc
Sawed part is pulverised at 61.3633 J/cc
Energy in a vertical saw/cut:
Big tree = 85725 * 61.3633 = 5260368.893 J (Wall level)
Smaller tree = 5357.8125 * 61.3633 = 328773.0558 J (Wall level)
Horizontal cutting off a tree[]
Volume sawed:
Big tree = pi() * (127 cm / 2)^2 * 0.225 cm = 2850.22957 cc
Smaller tree = pi() * (31.75 cm / 2)^2 * 0.225 cm = 178.1393481 cc
Sawed part is pulverised (ditto)
Energy in a vertical saw/cut:
Big tree = 2850.22957 * 61.3633 = 174899.4922 J (Wall level)
Smaller tree = 178.1393481 * 61.3633 = 10931.21826 (Street level+)
Sloped cutting off a tree[]
Volume sawed:
Big tree = pi() * (127 cm / 2) * (127 cm / cos(30 degree) / 2) * 0.225 cm = 3291.161619 cc
Smaller tree = pi() * (31.75 cm / 2) * (31.75 cm / cos(30 degree) / 2) * 0.225 cm = 205.6976012 cc
Sawed part is (ditto)
Energy in a vertical saw/cut:
Big tree = 3291.161619 * 61.3633 = 201956.5378 J (Wall level)
Smaller tree = 205.6976012 * 61.3633 = 12622.28361 (Street level+)
Horizontal hammering off a tree[]
Sometimes fictional characters uses a punch or even a hammer to "horizontally cut" a tree. As a result, the tree is cut at a "thickness" equal to its diameter.
Big tree = pi() * (127 cm / 2)^2 * 127 cm = 1608796.246 cc
Smaller tree = pi() * (31.75 cm / 2)^2 * 31.75 cm = 25137.44135 cc
Energy taken:
Big tree = 1608796.246 * 61.3633 = 98721046.69 J (Small Building level)
Smaller tree = 25137.44135 * 61.3633 = 1542516.355 J (Wall level)
Slicing a private car or cab[]
Now, remember how it takes 44732125.43 J energy to "completely destroy" a car of 273769.0451 cc?
What about we just cut it in half? Like cut it horizontally, vertically from the front or vertically from the side?
To quickly calculate this, we assume a car's volume distribution to be six rectangular sides with equal thickness. We have the height, width and length of a Toyota Corolla CVT XSE private car to be 145.542 cm, 176.022 cm and 465.074 cm respectively.
Hypothetical destruction energy by volume of this vehicle is = 44732125.43 J / 273769.0451 cc = 163.3936569 J/cc
Hypothetical destruction energy by weight of this vehicle is = 44732125.43 J / 1311.363636 kg = 34111.15284 J/kg
Remember the two value as they will be useful.
Area of front/back = 145.542 cm * 176.022 cm = 25618.59392 cm^2
Area of a side = 145.542 cm * 465.074 cm = 67687.80011 cm^2
Area of a top/bottom = 176.022 cm * 465.074 cm = 81863.25563 cm^2
Since there are 6 sides of sideway/front/top, the total surface area = (25618.59392 + 67687.80011 + 81863.25563) * 2 = 350339.2993 cm^2
For the volume to be evenly distributed among the surfaces,
Volume distributed on two front/back = 25618.59392 * 2 / 350339.2993 * 273769.0451 cc = 40038.77389 cc
Volume distributed on two sides = 67687.80011 * 2 / 350339.2993 * 273769.0451 cc = 105787.8716 cc
Volume distributed on two top/bottom = 81863.25563 * 2 / 350339.2993 * 273769.0451 cc = 127942.3996 cc
Implicit thickness = 273769.0451 cc / 350339.2993 cm^2 = 0.781439723 cm (this will aso be the assumed width of the cut as well)
Volume of cut by:
A vertical cut from the side = (145.542 + 176.022) * 2 * 0.781439723^2 = 392.7248533 cc
A vertical cut from the front = (145.542 + 465.074) * 2 * 0.781439723^2 = 745.7429283 cc
A horizontal cut = (176.022 + 465.074) * 2 * 0.781439723^2 = 782.9680329 cc
Energy in destruction by:
A vertical cut from the side = 163.3936569 J/cc * 392.7248533 cc = 64168.74994 J (Wall level)
A vertical cut from the front = 163.3936569 J/cc * 745.7429283 cc = 121849.6642 J (Wall level)
A horizontal cut = 163.3936569 J/cc * 782.9680329 cc = 127932.0102 J (Wall level)
Slicing other vehicles[]
Now we know the fragmentation energy distribution within a car given its volume and weight, we can assume the fragmentation energy of one whole vehicle to be proportional to the mass of the motor vehicle produced, assume their material composition ratios are the same.
For instance, the fragmentation energy of one whole Isuzu NQR75 goods truck will be 44732125.43 J / 1311.363636 kg * 9000 kg = 307000375.5 J (Small Building Level)
Now, the total destruction value and slicing value of different vehicles are as follows:
Vehicle model | Mass of vehicle (kg) | Total fragmentation energy (J) | Volume of materials in making up a motor vehicle (cc) | Vehicle Height (cm) | Vehicle Width (cm) | Vehicle Length (cm) | Area on two front/back (cm^2) | Area on two sides (cm^2) | Area on on two top/bottom (cm^2) | Volume distributed on two front/back (cc) | Volume distributed on two sides (cc) | Volume distributed on two top/bottom (cc) | Induced thickness (cm) | Volume of cut by a vertical cut from the side (cc) | Volume of cut by a vertical cut from the front (cc) | Volume of cut by a horizontal cut (cc) | Energy in destruction by a vertical cut from the side (J) | Energy in destruction by a vertical cut from the front (J) | Energy in destruction by a horizontal cut (J) |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Star Eluder GT motorcycle | 398.6363636 | 13597945.93 (Wall level+) | 83221.99395 | 127.508 | 97.536 | 248.92 | 12436.62029 | 31739.29136 | 24278.66112 | 15119.52082 | 38586.2771 | 29516.19603 | 0.607862927 | 166.3063179 | 278.178288 | 256.0291395 | 27173.39745 (Wall level) | 45452.56775 (Wall level) | 41833.53739 (Wall level) |
Toyota XLE Hybrid SUV | 2236.363636 | 76284941.8 (Small Building level) | 466878.2329 | 170.18 | 185.42 | 459.486 | 31554.7756 | 78195.32748 | 85197.89412 | 75570.09091 | 187268.8965 | 204039.2454 | 1.197443009 | 1019.768174 | 1805.718073 | 1849.422424 | 166623.6511 (Wall level) | 295042.8794 (Wall level) | 302183.893 (Wall level) |
Isuzu NQR75 9-tonne goods truck | 9000 | 307000375.5 (Small Building level) | 1878900.205 | 228 | 211.5 | 663.5 | 48222 | 151278 | 140330.25 | 266616.4231 | 836406.6038 | 775877.1785 | 2.764468739 | 6717.570632 | 13626.19845 | 13374.00297 | 1097608.431 (Wall level) | 2226434.395 (Wall level) | 2185227.252 (Wall level) |
Coaster 1BZ-FPE 16-passenger van | 3680 | 125529042.4 (Small Building level) | 768261.4173 | 263.5 | 208 | 699 | 54808 | 184186.5 | 145392 | 109543.0556 | 368127.8649 | 290590.4968 | 0.999334546 | 941.7453723 | 1922.438856 | 1811.586538 | 153875.2203 (Wall level) | 314114.315 (Wall level) | 296001.7493 (Wall level) |
Isuzu FVR34SC-VI 16-tonne goods truck | 16000 | 545778445.4 (Small Building level+) | 3340267.032 | 280 | 248 | 1000.5 | 69440 | 280140 | 248124 | 388065.2341 | 1565561.559 | 1386640.238 | 2.794248517 | 8245.062965 | 19995.83926 | 19496.13847 | 1347190.989 (Wall level) | 3267193.299 (Wall level) | 3185545.36 (Wall level) |
Isuzu CYZ52SX-7S-VI 24-tonne goods truck | 24000 | 818667668.1 (Small Building level+) | 5010400.548 | 297.5 | 249 | 1066.5 | 74077.5 | 317283.75 | 265558.5 | 564997.3936 | 2419958.716 | 2025444.438 | 3.81355603 | 15895.72809 | 39673.87577 | 38263.18444 | 2597261.141 (Wall level) | 6482459.647 (Wall level) | 6251961.631 (Wall level) |
Isuzu CYH52TX-7S-VI 30-tonne goods truck | 30000 | 1023334585 (Small Building level+) | 6263000.685 | 298.5 | 249 | 1066.5 | 74326.5 | 318350.25 | 265558.5 | 707204.4841 | 3029050.531 | 2526745.669 | 4.757418176 | 24783.16533 | 61788.16562 | 59547.49588 | 4049412.013 (Wall level) | 10095794.33 (Wall level+) | 9729683.112 (Wall level) |
Destroying Containers[]
Here we have a list of real life containers.
By deducing the masses of the containers, we can obtain destruction yields of containers at different sizes as follows:
Class | 6ft | 8ft | 10ft | 20ft | 20ft high cube | 40ft | 40ft high cube |
---|---|---|---|---|---|---|---|
Exterior length (cm) | 198 | 243.8 | 299.1 | 609 | 609 | 1218 | 1218 |
Exterior width (cm) | 195 | 220 | 243.8 | 244 | 244 | 244 | 244 |
Exterior height (cm) | 191 | 226 | 259.1 | 259 | 290 | 259 | 290 |
Interior length (cm) | 180 | 227.5 | 283.1 | 601 | 601 | 1211 | 1211 |
Interior width (cm) | 186 | 210.6 | 234.4 | 234 | 234 | 234 | 234 |
Interior height (cm) | 173 | 205 | 237.6 | 239 | 269 | 239 | 269 |
Tare weight (kg) | 450 | 630 | 825 | 2050 | 2230 | 3750 | 3890 |
Material volume (cm^3) | 57150.1143 | 80010.16002 | 104775.2096 | 260350.5207 | 283210.5664 | 476250.9525 | 494030.9881 |
Steel frag yield (J) | 11,887,223.77 | 16,642,113.28 | 21,793,243.59 | 54,152,908.31 | 58,907,797.82 | 99,060,198.12 | 102,758,445.52 |
Steel v frag yield (J) | 32,489,839.98 | 45,485,775.97 | 59,564,706.63 | 148,009,271.02 | 161,005,207.01 | 270,748,666.50 | 280,856,616.71 |
Steel pulv yield (J) | 57,150,114.30 | 80,010,160.02 | 104,775,209.55 | 260,350,520.70 | 283,210,566.42 | 476,250,952.50 | 494,030,988.06 |
Steel melting yield (J) | 418,306,204.65 | 585,628,686.51 | 766,894,708.52 | 1,905,617,154.51 | 2,072,939,636.37 | 3,485,885,038.74 | 3,616,024,746.85 |
Steel vaporisation yield (J) | 3,425,819,500.13 | 4,796,147,300.18 | 6,280,669,083.57 | 15,606,511,056.13 | 16,976,838,856.18 | 28,548,495,834.39 | 29,614,306,345.54 |
Yield for cutting off container at their sides are as follows:
Class | 6ft | 8ft | 10ft | 20ft | 20ft high cube | 40ft | 40ft high cube |
---|---|---|---|---|---|---|---|
Area of internal length x interior width (cm^2) | 33480 | 47911.5 | 66358.64 | 140634 | 140634 | 283374 | 283374 |
Area of internal height x interior width (cm^2) | 32178 | 43173 | 55693.44 | 55926 | 62946 | 55926 | 62946 |
Area of internal length x interior height (cm^2) | 31140 | 46637.5 | 67264.56 | 143639 | 161669 | 289429 | 325759 |
Plate surface area (cm^2) (2 (IL*IW + IW*IH+ IH*IL)) |
193596 | 275444 | 378633.28 | 680398 | 730498 | 1257458 | 1344158 |
Corner length (cm) = (EL - IL)/2 |
9 | 8.15 | 8 | 4 | 4 | 3.5 | 3.5 |
Corner width (cm) = (EW - IW)/2 |
4.5 | 4.7 | 4.7 | 5 | 5 | 5 | 5 |
Corner height (cm) = (EH - IH)/2 |
9 | 10.5 | 10.75 | 10 | 10.5 | 10 | 10.5 |
Corner area L x W (cm^2) | 40.5 | 38.305 | 37.6 | 20 | 20 | 17.5 | 17.5 |
Corner W x H (cm^2) | 40.5 | 49.35 | 50.525 | 50 | 52.5 | 50 | 52.5 |
Corner H x L (cm^2) | 81 | 85.575 | 86 | 40 | 42 | 35 | 36.75 |
Corner surface area (cm^2) (= corner length x corner width x corner height x 2 x 8) |
2592 | 2771.68 | 2786 | 1760 | 1832 | 1640 | 1708 |
Material surface area (cm^2) | 196188 | 278215.68 | 381419.28 | 682158 | 732330 | 1259098 | 1345866 |
Material thickness (cm) | 0.291302803 | 0.287583216 | 0.274698252 | 0.381657212 | 0.386725338 | 0.378247724 | 0.367072939 |
All side surface area destruction volume (cm^3) | 56395.05744 | 79213.07137 | 104009.9002 | 259678.804 | 282502.0856 | 475630.6262 | 493404.0275 |
All side steel frag yield (J) | 11,730,171.95 | 16,476,318.85 | 21,634,059.25 | 54,013,191.23 | 58,760,433.81 | 98,931,170.26 | 102,628,037.72 |
All side steel v frag yield (J) | 32,060,590.15 | 45,032,631.07 | 59,129,628.28 | 147,627,400.08 | 160,602,435.67 | 270,396,011.01 | 280,500,189.62 |
All side steel pulverisation yield (J) | 56,395,057.44 | 79,213,071.37 | 104,009,900.22 | 259,678,804.01 | 282,502,085.60 | 475,630,626.23 | 493,404,027.48 |
All side steel melting yield (J) | 412,779,619.52 | 579,794,452.73 | 761,293,081.21 | 1,900,700,571.85 | 2,067,753,961.31 | 3,481,344,604.66 | 3,611,435,753.39 |
All side steel vaporisation yield (J) | 3,380,558,199.01 | 4,748,366,436.25 | 6,234,793,206.32 | 15,566,245,517.27 | 16,934,369,520.25 | 28,511,310,855.01 | 29,576,723,677.40 |
All corner destruction volume (cm^3) | 755.0568652 | 797.0886484 | 765.3093305 | 671.7166938 | 708.4808183 | 620.326267 | 626.9605797 |
All corner steel frag yield (J) | 157,051.83 | 165,794.44 | 159,184.34 | 139,717.07 | 147,364.01 | 129,027.86 | 130,407.80 |
All corner steel v frag yield (J) | 429,249.83 | 453,144.90 | 435,078.35 | 381,870.94 | 402,771.35 | 352,655.48 | 356,427.09 |
All corner steel pulverisation yield (J) | 755,056.87 | 797,088.65 | 765,309.33 | 671,716.69 | 708,480.82 | 620,326.27 | 626,960.58 |
All corner steel melting yield (J) | 5,526,585.12 | 5,834,233.78 | 5,601,627.32 | 4,916,582.66 | 5,185,675.06 | 4,540,434.08 | 4,588,993.46 |
All corner steel vaporisation yield (J) | 45,261,301.12 | 47,780,863.93 | 45,875,877.24 | 40,265,538.86 | 42,469,335.93 | 37,184,979.38 | 37,582,668.14 |
IL x IW x thickness volume (cm^3) | 9752.817842 | 13778.54326 | 18228.60242 | 53673.98041 | 54386.73112 | 107185.5705 | 104018.927 |
IW x IH x thickness volume (cm^3) | 9373.541593 | 12415.83019 | 15298.89062 | 21344.56126 | 24342.8131 | 21153.8822 | 23105.77322 |
IH x IL x thickness volume (cm^3) | 9071.169283 | 13412.16224 | 18477.45706 | 54820.86033 | 62521.49859 | 109475.8604 | 119577.3135 |
IL x IW x thickness volume steel frag yield (J) | 2,028,586.11 | 2,865,937.00 | 3,791,549.30 | 11,164,187.93 | 11,312,440.07 | 22,294,598.66 | 21,635,936.82 |
IL x IW x thickness volume steel v frag yield (J) | 5,544,476.94 | 7,833,101.84 | 10,362,960.48 | 30,513,657.86 | 30,918,856.64 | 60,934,996.82 | 59,134,760.00 |
IL x IW x thickness volume steel pulverisation yield (J) | 9,752,817.84 | 13,778,543.26 | 18,228,602.42 | 53,673,980.41 | 54,386,731.12 | 107,185,570.48 | 104,018,927.00 |
IL x IW x thickness volume steel melting yield (J) | 71,385,057.86 | 100,851,069.26 | 133,422,961.42 | 392,862,889.40 | 398,079,817.60 | 784,537,174.20 | 761,359,152.11 |
IL x IW x thickness volume steel vaporisation yield (J) | 584,625,139.48 | 825,944,142.95 | 1,092,699,505.58 | 3,217,445,336.52 | 3,260,170,627.59 | 6,425,156,309.18 | 6,235,334,309.93 |
IW x IH x thickness volume steel frag yield (J) | 1,949,696.65 | 2,582,492.68 | 3,182,169.25 | 4,439,668.74 | 5,063,305.12 | 4,400,007.50 | 4,806,000.83 |
IW x IH x thickness volume steel v frag yield (J) | 5,328,858.40 | 7,058,399.46 | 8,697,419.32 | 12,134,383.08 | 13,838,889.24 | 12,025,982.03 | 13,135,632.07 |
IW x IH x thickness volume steel pulverisation yield (J) | 9,373,541.59 | 12,415,830.19 | 15,298,890.62 | 21,344,561.26 | 24,342,813.10 | 21,153,882.20 | 23,105,773.22 |
IW x IH x thickness volume steel melting yield (J) | 68,608,972.28 | 90,876,787.69 | 111,979,143.88 | 156,230,000.94 | 178,175,492.40 | 154,834,339.09 | 169,121,066.82 |
IW x IH x thickness volume steel vaporisation yield (J) | 561,889,717.39 | 744,257,359.58 | 917,080,192.60 | 1,279,483,253.62 | 1,459,211,146.12 | 1,268,053,144.42 | 1,385,057,745.14 |
IL x IH x thickness volume steel frag yield (J) | 1,886,803.21 | 2,789,729.75 | 3,843,311.07 | 11,402,738.95 | 13,004,471.71 | 22,770,978.97 | 24,872,081.21 |
IL x IH x thickness volume steel v frag yield (J) | 5,156,959.74 | 7,624,814.23 | 10,504,434.34 | 31,165,659.10 | 35,543,471.95 | 62,237,026.66 | 67,979,702.74 |
IL x IH x thickness volume steel pulverisation yield (J) | 9,071,169.28 | 13,412,162.24 | 18,477,457.06 | 54,820,860.33 | 62,521,498.59 | 109,475,860.44 | 119,577,313.52 |
IL x IH x thickness volume steel melting yield (J) | 66,395,779.62 | 98,169,369.42 | 135,244,435.30 | 401,257,395.58 | 457,621,670.66 | 801,300,789.04 | 875,237,657.77 |
IL x IH x thickness volume steel vaporisation yield (J) | 543,764,242.63 | 803,981,715.60 | 1,107,616,904.98 | 3,286,194,168.49 | 3,747,802,986.41 | 6,562,445,973.91 | 7,167,969,783.63 |
IL x (thickness^2) cut volume (cm^3) | 15.27431814 | 18.81518415 | 21.36247963 | 87.5429989 | 89.88344849 | 173.2593934 | 163.173219 |
IW x (thickness^2) cut volume (cm^3) | 15.78346208 | 17.41748476 | 17.68762001 | 34.0849613 | 34.99621788 | 33.47869369 | 31.52975495 |
IH x (thickness^2) cut volume (cm^3) | 14.68031688 | 16.95434177 | 17.92908922 | 34.81327244 | 40.23069492 | 34.19405039 | 36.24574394 |
IL x (thickness^2) cut volume steel frag yield (J) | 3,177.06 | 3,913.56 | 4,443.40 | 18,208.94 | 18,695.76 | 36,037.95 | 33,940.03 |
IL x (thickness^2) cut volume steel v frag yield (J) | 8,683.45 | 10,696.43 | 12,144.57 | 49,768.19 | 51,098.74 | 98,497.97 | 92,763.97 |
IL x (thickness^2) cut volume steel pulverisation yield (J) | 15,274.32 | 18,815.18 | 21,362.48 | 87,543.00 | 89,883.45 | 173,259.39 | 163,173.22 |
IL x (thickness^2) cut volume steel melting yield (J) | 111,799.29 | 137,716.40 | 156,361.15 | 640,764.77 | 657,895.52 | 1,268,159.83 | 1,194,334.79 |
IL x (thickness^2) cut volume steel vaporisation yield (J) | 915,607.21 | 1,127,861.69 | 1,280,557.36 | 5,247,697.51 | 5,387,993.96 | 10,385,900.64 | 9,781,292.69 |
IW x (thickness^2) cut volume steel frag yield (J) | 3,282.96 | 3,622.84 | 3,679.02 | 7,089.67 | 7,279.21 | 6,963.57 | 6,558.19 |
IW x (thickness^2) cut volume steel v frag yield (J) | 8,972.90 | 9,901.84 | 10,055.41 | 19,377.30 | 19,895.35 | 19,032.64 | 17,924.67 |
IW x (thickness^2) cut volume steel pulverisation yield (J) | 15,783.46 | 17,417.48 | 17,687.62 | 34,084.96 | 34,996.22 | 33,478.69 | 31,529.75 |
IW x (thickness^2) cut volume steel melting yield (J) | 115,525.93 | 127,486.04 | 129,463.28 | 249,482.45 | 256,152.33 | 245,044.92 | 230,779.80 |
IW x (thickness^2) cut volume steel vaporisation yield (J) | 946,127.45 | 1,044,077.68 | 1,060,270.73 | 2,043,196.70 | 2,097,821.28 | 2,006,854.46 | 1,890,026.83 |
IH x (thickness^2) cut volume steel frag yield (J) | 3,053.51 | 3,526.50 | 3,729.25 | 7,241.16 | 8,367.98 | 7,112.36 | 7,539.11 |
IH x (thickness^2) cut volume steel v frag yield (J) | 8,345.76 | 9,638.54 | 10,192.69 | 19,791.35 | 22,871.15 | 19,439.32 | 20,605.71 |
IH x (thickness^2) cut volume steel pulverisation yield (J) | 14,680.32 | 16,954.34 | 17,929.09 | 34,813.27 | 40,230.69 | 34,194.05 | 36,245.74 |
IH x (thickness^2) cut volume steel melting yield (J) | 107,451.54 | 124,096.10 | 131,230.70 | 254,813.28 | 294,465.72 | 250,280.92 | 265,298.15 |
IH x (thickness^2) cut volume steel vaporisation yield (J) | 880,000.27 | 1,016,314.93 | 1,074,745.42 | 2,086,854.75 | 2,411,597.96 | 2,049,735.96 | 2,172,723.15 |
Other human body harming feats[]
Biting off a tongue[]
Some ancient Asian stories involve people committing suicide by biting off their tongues. How efficient is dying in this way? (Disclaimer: Do not try this yourself.)
tldr I take 9 cm as length, 4.6833 cm as width and 1.3667 cm as thickness.
Findings for the size of the teeth are as follows:
Tooth | Maxillary arch (cm) | Mandibular arch (cm) | Area (cm^2) |
---|---|---|---|
Central incisor | 0.841 | 0.513 | 0.431433 |
Lateral incisor | 0.639 | 0.566 | 0.361674 |
Canine | 0.741 | 0.658 | 0.487578 |
Premolar | 0.659 | 0.67 | 0.44153 |
Total | (2 sets of different teeth on a jaw) | - | 3.44443 |
Volume of tongue actually bitten off = 3.44443 * 1.3667 = 4.707502481 cc
Depending the force applied by your jaw, the portion of the tongue can be fragmented, violently fragmented or pulverised. The energy yield, depending on the chew on the human flesh, is hence as follows:
(Fragmented) 4.707502481 cc x 4.4 J/cc = 20.71301092 J (Below Average Human level)
(Violently fragmented) 4.707502481 cc x 7.533 J/cc = 35.46161619 J (Below Average Human level)
(Pulverised) 4.707502481 cc x 12.9 J/cc = 60.726782 J (Human level)
(This is actually within normal understanding, considering one eats duck tongues and ox tongues as snacks or dishes.)
Usually one who bites off the own tongue dies very slowly by blood loss from biting off the artery that links to the tongue, and it takes a long time with long pain to die this way.
Do not commit suicide and especially do not do so by biting your tongue, thanks.
Also, this is for cutting off a tongue (by biting). The force to rip off a tongue may involve ripping off some other muscles in a human mouth cavity, which will involve much larger energy requirement as human flesh is quite malleable and ductile.
Ripping out a head from a human body[]
Credits to KLOL506 for providing the video. Also the producer Vsauce3.
Vsauce3 says it takes 5,000 Newtons of force to pull a human head from a human body.
A human head has a height of 23.9 cm for 99th percentile and 21.8 cm for 50th percentile.
Human head length (according to Wikipedia) is 8.6" or 0.21844 m for an average female and 9.1" or 0.23114 m for an average male.
Force to pull off one head = 5000 N >>>> Lifting strengh = 509.8581065 kg force on Earth (Class 1)
Energy to pull off one's head =
(Low end from female head): 5000 N * 0.21844 m = 1,092.20 J (Street)
(High end from male head): 5000 N * 0.23114 m = 1,155.70 J (Street)
Ripping out a spine from a human body[]
Credits to KLOL506 for providing the video. Also the producer Vsauce3.
That translates to 1,000,000 N / 9.80665 ~= 101,971.6213 kg force on Earth (Class K) Supports Mortal Kombat characters' lifting strength in ripping off opponents' head.
That also mean to rip a head upward the Mortal Kombat style. The spine on average is 43-45 cm long.
(Low end from female head + spine): 1,000,000 N * (0.43 + 0.21844) m = 648,440 J (Wall Level)
(High end from male head + spine): 1,000,000 N * (0.45 + 0.23114) m = 681,140 J (Wall Level) What a cursed number to Spino
Breaking a nose with a punch[]
(Courtesy from Votron5)
"Impactor energy ranged from 241 to 815 J and resulted in peak forces of 2010 to 3890 N."
Therefore energy required to break a nose range from 241 J (Athletic Human level+) to 815 J (Street level).
Note: This is a striking strength feat so no lifting strength should be calculated from this feat.
Pushing other humans[]
An average person's pushing force: 480-600N
A normal adult US man's height is 1.753 m
The human body arm (upper arm + forearm) is roughly equal to (0.1725+0.1585) of total body height.
Therefore a normal man can push at an energy of:
Low end: ((0.1725+0.1585)×1.753×480)J = 278.51664 J (Athletic Human)
High end: ((0.1725+0.1585)×1.753×600)J = 348.1458 J (Street)
Lifting strength =
(low end) 480 N / 9.81 = 48.92966 kg (At least Below average human+, possibly Average human)
(high end) 600 N / 9.81 = 61.16208 kg (Average human)
Count how many "athletic human" or "peak human" your character can push against now.
Bending[]
To have an idea of how bending works please familiarize yourself here first.
Okay, let's bend things.
Bending a solid baseball bat[]
A baseball bat is no thicker than 7.0 cm in diameter at the thickest part and no more than 106.7 cm in length.
I shall assume the baseball bat is bent at 90 degrees in the middle.
Bend length = sheet thickness = 7.0 cm = 2.755905512 inch
Die opening = 106.7 cm / 2^0.5 = 75.44829355 cm = 29.70405258 inch
Ultimate tensile strength of aluminium = ~455 MPa = 65992.17079 psi
(Set Factor of safety = 1)
Force to apply = 59746 pounds = 293298.5455 Newton = 29.89791493 tonnes under Earth gravity (Class 50+)
Bending energy = 293298.5455 N * 0.7544829355 m / 2 = 110644.3738 J (Wall Level)
Bending a hollow baseball bat[]
Nowadays aluminium baseball bats should weigh only 0.94 kg of aluminium. Which translates to 940 g / 2.7 g/cc = 348.1481481 cc = ~ 106.7 cm length by 2.038238001 cm diameter of aluminium
Bend length = sheet thickness = 2.038238001 cm = 0.802455906 inch
Die opening = 106.7 cm / 2^0.5 = 75.44829355 cm = 29.70405258 inch
Ultimate tensile strength of aluminium = ~455 MPa = 65992.17079 psi
(Set Factor of safety = 1)
Force to apply = 985 pounds = 4835.454545 Newton = 0.492910759 tonnes under Earth gravity (Class 1)
Bending energy = 4835.454545 N * 0.7544829355 m / 2 = 1824.13397 J (Street Level)
You should see the bat collapse or even break in the middle part when you actually witness this feat and when what you see follows real world physics.
Bending a weightlifting barbell[]
I shall assume the barbell is bent at 90 degrees in the middle holding at the two ends of the grip section.
Bend length = sheet thickness = 2.8 cm = 1.1 inch
Die opening = 131 cm / 2^0.5 = 75.44829355 cm = 36.48670991 inch
Ultimate tensile strength of high strength steel = 760 MPa = 110228.6809 psi
(Set Factor of safety = 1)
Force to apply = 3703 pounds = 1.853044204 tonnes under Earth gravity = 18178.36364 Newton (Class 5)
Bending energy = 18178.36364 N * 0.9267624317 m / 2 = 8423.512244 J (Street Level+)
Bending a dining spoon[]
Sheet thickness = 0.3 cm = 0.118110236 inch
Die opening = 5 cm /2 / sin(45 deg) = 3.535533906 cm = 1.391942483 inch
Die ratio = 11.78511302
Bend length = 1 cm = 0.393700787 inch
Ultimate tensile strength of structural steel = 400 MPa = 58015 psi
Bending force = 290 lb = 0.145120934 ton = 1423.636364 N (Athletic Human)
Bending energy = 1423.636364 N * 0.03535533906 / 2 = 25.16657317 J (Below Average Human)
Not quite an attack potency feat, but still some lifting strength feat.
Also, if a character bend a dining spoon with one finger, count his/her/its fingers on all hands and get the aggregate lifting strength of the whole character.
Bending a light post[]
Square pole side length is 9.5 inch or 24.13 cm.
Pole height is 89 inch or 226.06 cm. Die opening = 62.93250353 inch or 159.848559 cm
Unfilled high density polyethylene has an ultimaste tensile strength of 3400 psi = 23.44217475 MPa
(Factor of safety = 1)
Bending force = 62645 lbs = 31.34862385 62645 ton (Class 50)
Bending energy = 31.34862385 * 1000 * 9.81 * 159.848559 / 2 / 100 = 245791.1367 J (Wall level)
Projectile feats[]
Reacting to an arrow[]
Thanks from Votron5 for providing the calculation.
Just... the so-called arrows can come from an ancient arrow/bolt (10 grams) moving at ~ 48.53115213 m/s, a modern arrow moving at ~ 68.58 m/s, or an advanced arrow/bolt moving at 106.68 m/s.
Also, his model is:
- Required dodging speed = (Distance the character moved in meters) x (Speed of projectile in meters/s) / (Distance the projectile was away from the character when he/she started to move in meters)
- Distance the projectile was away from the character when he/she started to move = Distance the projectile was away from the character when the projectile started moving - Distance the projectile moved towards the character before he/she started to move
So under his assumption, a modern bolt would have travelled 26.67 m within 0.25 s. Which means, an ordinary human with ordinary reactions cannot dodge a modern bolt without aim dodging.
Catching an arrow[]
Arrows usually weigh about 18 grams and fly at ~ 68.58 m/s. KE to stop it equals to (0.5 * 68.58^2 * 0.018) = 42.3289 J (Human level).
Ancient bolts usually weigh about 10 grams and fly at ~ 48.53115213 m/s. KE to stop it equals to (0.5 * 48.53115213^2 * 0.01) = 11.77636364 J (Below Average Human level).
A modern bolt of 15 GPI and 20 inches weighs 15 x 20 = 300 grain = 19.44 grams and are made of aluminium. It flies at ~ 106.68 m/s. KE to stop it equals to (0.5 * 106.68^2 * 0.01944) = 42.3289 J (Athletic Human level).
Snapping an arrow or bolt[]
Usually one fictional character snaps an arrow or bolt with minor cracks by a thumb to look cool. 2 cm would be enough.
Type of projectile | Material | Mass (g) | Density (g/cc) | V (cc) | Length (cm) | Area (cm^2) | Crack width (cm) | Volume destroyed (cc) | M frag | Energy - M frag (J) | Tier | Vfrag | Energy - V frag (J) | Tier | Pulv | Energy - Pulv (J) | Tier |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Arrow | Pine, Eastern white | 18 | 0.425 | 42.35294118 | 76 | 0.557275542 | 2 | 1.114551084 | 3.0337 | 3.381213622 | Below Average Human | 6.2053 | 6.916123839 | Below Average Human | 33.0948 | 36.8858452 | Below Average Human |
Ancient bolt | Pine, Eastern white | 10 | 0.425 | 23.52941176 | 21.59 | 1.089829169 | 2 | 2.179658339 | 3.0337 | 6.612429502 | Below Average Human | 6.2053 | 13.52543389 | Below Average Human | 33.0948 | 72.13535678 | Human |
Modern bolt | Aluminium | 19.44 | 2.7 | 7.2 | 50.8 | 0.141732283 | 2 | 0.283464567 | 68.9475 | 19.54417323 | Below Average Human | 137.895 | 39.08834646 | Below Average Human | 275.79 | 78.17669291 | Human |
Remember: this has to be done by a thumb snap to be considered a feat.
Summoning things from pure energy[]
Powerful magicians summon things. And for some cases, energy is used directly into summoning things. We know that E = mc^2 stuff and matter-energy conversion should only be used for a calculation if it is clearly stated that this is the progress used. So plug in the formula and learn it yourself.
Or, com'ere.
Lighting feats[]
Lighting up a planet[]
Here says a typical classroom takes up an area of 6.7 sq m.
Here recommends a classroom be lightened up at 300 lumen.
This light bulb makes 560 lumen with an electricity consumption rate of 5.5 watts.
The surface area of the earth is 510,072,000 sq km or 5.10072E+14 sq m.
Electric power to light up the Earth like lighting up a classroom = 5.10072E+14 / 6.7 * 300 / 560 * 5.5 W = 2.24312E+14 Watt (1 Watt = 1 J/s okay)
Energy to light up the Earth for a minute = 60 s x 2.24312E+14 Watt = 1.34587E+16 J = 3,216,711.954 ton TNT (Small City level+)
To compare, the shopping center at New York River Mall Plaza recorded a total electricity consumption in 2013 of 1.5 million kilo-watt-hour. This translates into an annual electricity consumption of 5.4 * 10^12 Joules of energy. Energy consumption rate (i.e. power consumption) by the whole plaza (in seconds) = 171232.8767 W.
The electric power to light up the Earth is "just" 1,309,982,354 times the electric power to run a shopping plaza in New York.
Okay, let's go crazy by lighting the whole Earth like bright sunlight.
Electric power to light up the Earth like lighting up a classroom = 5.10072E+14 * 107527 / 560 * 5.5 W = 5.38671E+17 Watt
Energy to light up the Earth for a minute = 60 s x 5.38671E+17 Watt = 3.23203E+19 J = 7,724,728,960 ton TNT (Island level)
Last advice: adjust yourself for lighting up other areas for other periods of time.
Lighting up a courtroom or theatre[]
Electric power to light up the Earth like lighting up a classroom = 5.10072E+14 * 107527 / 560 * 5.5 W = 5.38671E+17 Watt
Energy to light up the Earth for a minute = 60 s x 5.38671E+17 Watt = 3.23203E+19 J = 7,724,728,960 ton TNT (Island level)
Here recommends a theatre be lightened up at 1000 lumen.
So the power to lighten up a theatre/courtroom/mechanical workshop etc is 1000 / 560 * 5.5 W = 9.821428571 J/s (Below Average Human level)
Assume something shines with light as bright as sunlight... the brightness would be 107527/1000 times brighter than normal theatre lighting power. Yet power to light up would still be 107527 / 1000 * 9.821428571 = 1056.06875 J/s (Street level)
Feats re Melting, Heating and Freezing[]
Surviving the Heat of Lava[]
Part 1 - heat transfer through radiation
Lava can be between 700°C and 1250°C. Given that we likely don´t know the heat of the lava let's work with 700°C (low end), 975°C (mid end) and 1250°C (high end).
Emissivity of Lava is between 0.55 and 0.85. At the given temprature it should be around 0.65.
The average human body surface area is 1.73 m^2.
At last we input all this stats in this calculator. That results in 57184.65661 J/s (low end), 154747.4713 J/s (mid end) and 343182.0965 J/s (high end).
Part 2 - heat transfer through conduction
Human Skin is around 3 mm thick.
It has a thermal conductivity of about 0.209
Normal skin temperature is about 33°C
Now we use this calculator. That gives us 80389.06333 J/s (low end), 113532.98 J/s (mid end) and 146676.8967 J/s (high end).
Total energy equivalent to tank lava per second = radiation energy + conduction energy = 137573.7199 J/s (low end), 268280.4513 J/s (mid end) and 489858.9932 (high end) Wall level
Surviving the Heat of Lava - Maximum internal energy intake[]
Maximum internal energy intake If an object is heated it usually doesn´t get hotter than the source of the heat. If the object is as hot as the heat source the energy itself emits to its surroundings should be equal to the energy it is infused with.
That means there is a maximum amount of thermal energy an object can take in through a certain source of heat.
In order to calculate this energy we will just measure how much energy will be necessary to heat the object to this temperature, from the point that it has no internal energy, which should be 0K - except normal human skin temperature is about 33°C which translates into 273.16 K + 33 K = 306.16 K.
The specific heat capacity of a human body is 3470 J/ kg°C
Average weight of a grown human is around 62 kg.
We already know lava temperatures from above.
Ultimate energy equivalent to tank lava = 143498380 J (low end), 202661880 J (mid end) and 261825380 J (high end) - all Small Building level
Vaporising the Earth's Ocean[]
Volume of seawater on Earth = 1.335 * 10^9 km^3 = 1.335E+18 m^3
Average temperature of seawater = 17 °C
Specific heat capacity of sea water at 17 °C = 4006 J / kg°K
The density of surface seawater ranges from about 1020 to 1029 kg/m^3. Here I pick 1024.5 kg/m^3 as a mid point.
Mass of seawater = 1.335E+18 * 1024.5 = 1.36771E+21 kg
Change in temperature = 83 °C
Energy to raise seawater to boiling point = 1.36771E+21 * 83 * 4006 = 4.5476E+26 J = 1.0869E+17 tons TNT
Latent Heat of Vaporization = 2264705.7 J/kg
Energy to vaporise seawater at boiling point = 2264705.7 * 1.36771E+21 = 3.09745E+27 J = 7.4031E+17 tons TNT
Energy to boil all the seawater on Earth = 3.55221E+27 J = 8.49E+17 tons TNT (Multi-Continental level)
Freezing the Earth's Ocean[]
Yada yada - except:
... near the poles the temperature in equilibrium with the sea ice is about −2 °C - this makes the freezing point of seawater -2 °C
Change in temperature = (17 - -2) = 19 °C
Energy to drop seawater to freezing point = 1.36771E+21 * 19 * 4006 = 1.04102E+26 J = 2.48809E+16 tons TNT
Latent Heat of Fusion = 334000 J/kg
Energy to freeze seawater at fusion point = 334000 * 1.36771E+21 = 4.56814E+26 J = 1.09181E+17 tons TNT
Energy to freeze all the seawater on Earth = 5.60916E+26 J = 1.34062E+17 tons TNT (Multi-Continental level)
Covering the Earth Surface in Fire[]
“ | Fire is hot because the conversion of the weak double bond in molecular oxygen, O2, to the stronger bonds in the combustion products carbon dioxide and water releases energy (418 kJ per 32 g of O2) | „ |
~ Wikipedia about fire |
The wikipedia has found for me that the surface area of the Earth is 510,072,000 km^2 or 5.10072E+14 m^2.
Because the flame can be as small as a camp fire or as big as dwarfing Mount Everest or even the Karman line, I am giving a table to illustrate different volume of such fire.
20.95% of the Earth air is oxygen.
O2 density is about 1.3311~1.42902 kg/m³. I'll use a low-end because the low end represents the RTP condition.
Yield of burning oxygen = 418000 J / 32 g oxygen
Flame height (m) | Flame volume (m^3) | Mass of oxygen (g) | Yield (J) | Yield (ton TNT) | Tier |
---|---|---|---|---|---|
0.3048 (1 foot) | 1.5547E+14 | 4.33552E+13 | 5.66327E+20 | 1.35355E+11 | Large Island |
1 (1 meter) | 5.10072E+14 | 1.42241E+14 | 1.85803E+21 | 4.4408E+11 | Large Island |
1.684 (average height of a human) | 8.58961E+14 | 2.39535E+14 | 3.12892E+21 | 7.4783E+11 | Large Island+ |
3.1 (1 storey building height - low end) | 1.58122E+15 | 4.40949E+14 | 5.75989E+21 | 1.37665E+12 | Small Country |
4.3 (1 storey building height - high end) | 2.19331E+15 | 6.11638E+14 | 7.98952E+21 | 1.90954E+12 | Small Country |
15.5 (Allowable overall height of a 3-storey building in Singapore) | 2.19331E+15 | 2.20474E+15 | 2.87995E+22 | 6.88323E+12 | Small Country+ |
21.336 (height of the United States White House) | 1.08829E+16 | 3.03486E+15 | 3.96429E+22 | 9.47488E+12 | Country |
296.3 (height of Yokohama Landmark Tower) | 1.51134E+17 | 4.21461E+16 | 5.50534E+23 | 1.31581E+14 | Large Country |
374 (height of Central Plaza Hong Kong) | 1.90767E+17 | 5.31983E+16 | 6.94903E+23 | 1.66086E+14 | Large Country |
829.8 (height of Burj Khalifa) | 4.23258E+17 | 1.18032E+17 | 1.54179E+24 | 3.68497E+14 | Large Country |
1505 (height of Mount Tai) | 7.67658E+17 | 2.14073E+17 | 2.79633E+24 | 6.6834E+14 | Large Country+ |
8848 (height of Mount Everest) | 4.51312E+18 | 1.25855E+18 | 1.64398E+25 | 3.92922E+15 | Continent+ |
100000 (height of Kármán line) | 5.10072E+19 | 1.42241E+19 | 1.85803E+26 | 4.4408E+16 | Multi-Continent |
Melting a passenger train[]
Specific heat capacity of aluminium = 900 J/kg/K
Melting point of aluminium = 660.32 degree Celsius
Heat of fusion of aluminium = 10710 J/mol = 398305.7851 J/kg
Energy to raise aliminium to melting point from room temperature = 381010 * 900 * (660.32-25) = 2.17857E+11 J
Energy to turn aliminium from solid to liquid = 381010 * 398305.7851 = 1.51758E+11 J
Energy to melt a train of aluminium = (2.17857E+11 + 1.51758E+11) = 3.69615E+11 J = 88.34020867 tons TNT (City Block level+)
Vaporising a passenger train[]
Boiling point of aluminium = 2470 degree Celsius
Heat of vaporisation of aluminium = 284000 J/mol = 10561983.47 J/kg
Energy to raise aliminium to boiling point from melting point = 381010 * 900 * (2470-660.32) = 6.20556E+11 J
Energy to turn aliminium from liquid to vapor = 381010 * 10561983.47 = 4.02422E+12 J
Energy to melt a train of aluminium = (2.17857E+11 + 1.51758E+11 + 6.20556E+11 + 4.02422E+12) = 5.01439E+12 J = 1198.468526 tons TNT (Small Town level)
Vaporising a human body[]
Discarded end |
---|
Conditions
https://www.thoughtco.com/chemical-composition-of-the-human-body-603995 Okay, First off. To vaporize a human thoroughly at once, let’s assume the temperature change is 1800°F or 982.2°C https://www.cremationresource.org/cremation/how-is-a-body-cremated.html The normal human body temperature range is typically stated as 36.5–37.5 °C (97.7–99.5 °F) and we shall use 37°C. So the temperature change is by 945.2°C The average human is 62 kilograms STEP I We will start with water. https://en.wikipedia.org/wiki/Body_water 60% of human mass is water, or 37.2 kilograms. Blood contains about 7% of total body weight so pure water weight = 32.86 kg The heat capacity of water is 4182 joules per kilogram at 20 °C Plugging the values into this calculator Heat energy spent to change temperature is 129889875.5 joules Plugging in the mass of water gives us 74418229.3 joules Adding these two values together we get 204308104.8 joules STEP II Average amount for body fat is 2.348 kilojoules per kilogram Fat seems to be 17% of body mass, or 10.54 kilograms going by the numbers shown Plugging it into the specific heat energy calculator, we get 23391733.98 joules STEP III Protein makes up 16% of body mass, which means it makes up 9.92 kilograms of the body Muscle has a heat capacity of 3.421 kilojoules per kilogram Plugging it into the specific heat energy calculator, we get 32076609.66 joules. STEP IV For minerals, it makes up 6% of body mass, or 3.72 kilograms. We will bone for this, specifically cortical bone, which is 1.313 kilojoules per kilogram. (ditto) we get 4616697.072 joules STEP V Carbohydrates make up merely 1% of human weight, or 0.62 kilograms Heat energy of sugar (carbohydrate) is 1.255 kilojoules per kilogram. (ditto) we get 735460.12 joules STEP VI Blood is about 7% of total body weight and has a heat capacity of around 3617 J/kg. Thus, this equates to 4.34 kg of blood * 3617 * 945.2 degrees celsius = 14837541.66 J Latent heat of vaporisation = 4.34 * 2264705.7 = 9828822.738 J Total heat to boil blood = 24666364.39 joules Conclusion Adding them together, we get 289,794,970 joules (Small Building level) As noted, we took values that were simplest and closest analogs, plus we did not include the latent heat from anything other than water. |
Conditions
https://www.thoughtco.com/chemical-composition-of-the-human-body-603995
Okay, First off. To vaporize a human thoroughly at once, let’s assume the temperature change is 1800°F or 982.2°C
The normal human body temperature range is typically stated as 36.5–37.5 °C (97.7–99.5 °F) and we shall use 37°C.
So the temperature change is by 945.2°C
The average human is 62 kilograms
STEP I
We will start with water.
https://en.wikipedia.org/wiki/Body_water
60% of human mass is water, or 37.2 kilograms.
The heat capacity of water is 4182 joules per kilogram at 20 °C
Plugging the values into this calculator
Heat energy spent to change temperature is 147045142.1 joules
Plugging in the mass of water gives us 84247052.04 joules
Adding these two values together we get 231292194.1 joules
STEP II
Average amount for body fat is 2.348 kilojoules per kilogram
Fat seems to be 17% of body mass, or 10.54 kilograms going by the numbers shown
Plugging it into the specific heat energy calculator, we get 23391733.98 joules
STEP III
Protein makes up 16% of body mass, which means it makes up 9.92 kilograms of the body
Muscle has a heat capacity of 3.421 kilojoules per kilogram
Plugging it into the specific heat energy calculator, we get 32076609.66 joules.
STEP IV
For minerals, it makes up 6% of body mass, or 3.72 kilograms.
We will bone for this, specifically cortical bone, which is 1.313 kilojoules per kilogram.
(ditto) we get 4616697.072 joules
STEP V
Carbohydrates make up merely 1% of human weight, or 0.62 kilograms
Heat energy of sugar (carbohydrate) is 1.255 kilojoules per kilogram.
(ditto) we get 735460.12 joules
Conclusion
Adding them together, we get 292,112,695 joules or 0.06981661 ton TNT (Small Building level)
As noted, we took values that were simplest and closest analogs, plus we did not include the latent heat from anything other than water.
Other feats[]
Creating a volcano[]
Select the volcano size from the below data sources which can be directly taken from:
- Mount St Helens eruption - City level (1.00416 x 10^17 Joules of energy = 24 Megatons of TNT equivalent)
- Krakatoa Eruption - Mountain level (8.368E x 10^17 Joules of energy = 200 Megatons of TNT equivalent)
- Mount Tambora Eruption - Mountain level+ (3.3472 x 10^18 Joules of energy = 800 Megatons of TNT equivalent)
- Island Park Caldera super-eruption - Island level (9.6 x 10^19 Joules of energy = 23 Gigatons of TNT equivalent)
- Generally, annual volcanic activity in Earth accounted to 4 * 10^24 erg (Verhoogen, 1946) = 4 * 10^17 Joules of energy = 95.60229446 Megatons TNT (City level+)
Guess why Screwattack said in Ryu VS Jin that Kazuya Mishima's AP is about 100 megaton TNT, possibly less. (Hint: Mid value between a Krakatoa eruption and a St Helens eruption is 112 megatons TNT)
Oh yeah we have a simplified lava eruption formula
- Lava is 40km underground
- Measure time for lava to reach the ground (in seconds)
- We have lava eruption speed (v = d/t) (measured in m/s)
- Measure the area of the volcano mouth (A measured in m^2)
- Volume of lava erupted per second = vA (measured in m^3/s)
- Lava has a density of 3,100 kg/m^3
- Volcano eruptrion power = 0.5 * 3,100 * vA * v^2 (measured in Joule/second or Watt)
Pushing the Earth from the Solar System with One Push[]
Mean distance between Sun and Earth (r1) = 1.496E+11 m
Gravitational constant (G) = 6.674E-11 N*m^2/kg^2
Sun mass (M) = 1.9884E+30 kg
Earth mass (m) = 5.97237E+24 kg
By Ep = |(G*M*m)/r1 - (G*M*m)/r2|
Where r2 tends to infinitely large and (G*M*m)/r2 tends to zero value
Escape KE = 5.29792E+33 J = 1.26623E+24 ton TNT (Planet)
Escape velocity = 42120.56416 m/s = Mach 122.8004786 (Massively Hypersonic)
Lifting strength = 5.97237E+24 kg (Class Y)
Punching up a sandbag[]
Punching up a sandbag midair is easier than most people may think. We may do that too with some tandem of accumulated punches.
It comes at 100 cm height and 25 cm diameter. And weighs 1.18 kg by itself.
Volume when filled = pi * (25/2)^2 * 100 = 49087.38521 cc (cubic centimeter) or 0.049087385 cum (cubic meter)
Surface area = side + top and bottom = pi * 25 * 100 + pi * (25/2)^2 * 2 = 8835.729338 cm^2
Packed dry sand density = 1682 kg per cum
Sand weight in a fully filled sandbag = 1682 * 0.049087385 = 82.56498193 kg
Weight of one whole sandbag = 83.74498193 kg
Punching it up at half its own height (say 0.5 m) = 83.74498193 * 9.81 * 0.5 = 410.7691364 J (Street level)
Normally a sandbag for novices is filled with cotton and other materials instead, and would weigh 20 kg - I will also consider it as a low end.
Weight of a filled sandbag for novice = 21.18 kg
Punching it up at half its own height (say 0.5 m) = 21.18 * 9.81 * 0.5 = 103.8879 J (Athletic Human level)
What about a larger sandbag say 120 cm height and 40 cm diameter?
Volume when filled = pi * (40/2)^2 * 120 = 150796.4474 cc (cubic centimeter) or 0.049087385 cum (cubic meter)
Surface area = side + top and bottom = pi * 40 * 120 + pi * (40/2)^2 * 2 = 17592.91886 cm^2
Sand weight in a fully filled sandbag = 1682 * 0.150796447 = 253.6396245 kg
Material weight = 1.18 kg / 8835.729338 * 17592.91886 = 2.349511 kg
Weight of a larger filled sandbag = 253.6396245 + 2.349511111 = 255.9891356 kg
Punching it up at half its own height (now 0.6 m) = 255.9891356 * 9.81 * 0.6 = 1506.752052 J (Street level)
Piercing a sandbag[]
When Cap Am and Dan Hibiki can do this...
Theory: Sandbags are good at absorbing impact energies by spreading the energy taken among the sand inside the bag.
Therefore, theoretical energy intake to pierce a hole in a sandbag by punching = energy in destroying the surface area of the bag plus the energy of all the sand in the said bag.
Surface area of a punch by Votron5 gripping = 25.929159 cm^2
A training sandbag is made of the polyester 30% Carbon Fiber (30 CF) PET, whose density usually sticks to 1.4 g/cm^3
Sandbag material volume = 1.18 * 1000 / 1.4 = 842.8571429 cm^3
Sandbag thickness = 842.8571429 cm^3 / 8835.729338 cm^2 = 0.095391915 cm
Volume of sandbag destroyed in a punch (with 2 sides) = 0.095391915 cm * 25.929159 cm^2 * 2 = 4.946864268 cm^3
PET destruction energy = PET Ultimate Tensile Strength = 140 MPa = 140 J/cc
Energy on destroying the bag = 4.946864268 * 140 = 692.5609975 J
Go back to the sand.
Pulverisation of soil = 1 J/cc
Energy of sand/soil pulverised =
(Small sandbag) 49087.38521 * 1 = 49087.38521 J
(Large sandbag) 150796.4474 * 1 = 150796.4474 J
Energy taken in piercing a sandbag with a punch =
(Small sandbag) 49087.38521 + 692.5609975 = 49779.94621 J (Wall level)
(Large sandbag) 150796.4474 + 692.5609975 = 151489.0084 J (Wall level)
Yep piercing a sandbag by a punch takes more energy when it only takes 20,195 J for shooting a .50 BMG bullet flying at 882 m/s from a Serbu BFG-50A semi-automatic rifle. This is because pressure focuses force applied on a smaller surface area and allows fewer time and space for the neighbouring sand to absorb the energy.
Being crushed by a Mount Tai[]
... Actually you only need to make a hole to hold yourself, just like digging up from the underground.
Crushing a Mount Tai[]
... Mount_Tai stands 1,505 m tall and covers an area of 25,000 ha or 250000000 m^2. And is composed of granite. Assume cone structure.
Volume = (1/3 * 1505 * 250000000) = 1.25417E+11 m^3 = 1.25417E+17 cc
Granite fragmentation yield = 14 J/cc * 1.25417E+17 cc = 1.75583E+18 419,654,238.37 tons of TNT (Mountain)
Granite low violent fragmentation yield = 103.42 J/cc * 1.25417E+17 cc = 1.29706E+19 J = 3,100,045,809.43 tons of TNT (Large Mountain+)
Granite high violent fragmentation yield = 175 J/cc * 1.25417E+17 cc = 2.19479E+19 J = 5,245,677,979.60 tons of TNT (Island)
Granite pulverisation yield = 203.25 J/cc * 1.25417E+17 cc = 2.54909E+19 J = 6,092,480,282.03 tons of TNT (Island)
Granite vaporisation yield = 27050 J/cc * 1.25417E+17 cc = 3.39252E+21 J = 810,831,939,133.21 tons of TNT (Large Island)
Lifting a Mount Tai[]
Granite is 2.7 g/cm^3
So mass of Mount Tai = 1.25417E+17 cc * 2.7 g/cm^3 = 3.38625E+17 g = 3.38625E+14 kg (Class T)
PE from lifting it at a human arm length = 9.81 * 3.38625E+14 kg * 0.7 m = 5.5941E+15 J = 1,337,021.64 tons of TNT (Large Town+)
PE from lifting it at an average human height = 9.81 * 3.38625E+14 kg * 1.684 m = 2.32534E+15 J = 555,769.09 tons of TNT (Small City)
Typical fighting stats[]
Typical fighting stats - punching[]
Some punching speed - Source 1
Some punching speed - Source 2
Normal human punching speed (scaled to punching speed of a normal researcher) = 15 miles per hour = 6.7056 m/s (Average human)
Athletic human punching speed (scaling to average punching speed of Hatton) = 25 mph = 11.176 m/s (Peak human)
Some low-end peak human punching speed (scaling to peak punching speed of Hatton) = 32 mph = 14.30528 m/s (Superhuman)
A higher peak human punching speed (scaling to peak punching speed of Keith Liddell) = 44 mph = 19.66976 m/s (Superhuman)
A higher peak human punching speed (scaling to peak punching speed of Keith Liddell) = 45 mph = 20.1168 m/s (Superhuman)
Typical fighting stats - sword striking[]
Some sword striking speed - Source 1
Some sword striking speed - Source 2
Some sword striking speed - Source 3
Athletic human sword slashing speed (single strike by engineer Sean Franklin) = 70 km/h ~= 19.4444 m/s (Superhuman)
Peak human sword stabbing speed (single strike by ajslim @quarte-riposte.com) = 80 mph ~= 35.7632 m/s (Subsonic)
Peak athletic human sword slashing speed (single strike by Isao Machii) =
At least 158.29 km/h ~= 43.96944444 m/s (Subsonic)
Possibly 350 km/h ~= 97.22222222 m/s (Subsonic)
Typical fighting stats - knife throwing[]
Some knife throwing speed - Source 1
Some knife throwing speed - Source 2
Low end athletic human knife throwing speed = 26 mph = 41.842944 kph = 11.62304 m/s (Peak Human)
High end athletic human knife throwing speed = 30 mph = 48.28032 kph = 13.4112 m/s (Superhuman)
Low end peak human knife throwing speed = 33.88958482 mph = 54.54 kph = 15.15 m/s (Superhuman)
Mid end peak human knife throwing speed = 35.79098067 mph = 57.6 kph = 16 m/s (Superhuman)
High end peak human knife throwing speed = 37.69237652 mph = 60.66 kph = 16.85 m/s (Superhuman)
Typical fighting stats - baseball throwing[]
Baseball travel speed - Source from Guinness
Peak human baseball throwing speed = 105.1 mph = 169.1420544 kph = 46.983904 m/s (Subsonic)
Typical fighting stats - baseball batting[]
Baseball bat swinging speed - Source from Quora
"Average" professional baseballer bat swinging speed =
(Low tier) 70 mph = 31.2928 m/s (Superhuman+)
(Mid tier) 75 mph = 33.528 m/s (Superhuman+)
(High tier) 80 mph = 35.7632 m/s (Subsonic)
Baseball bat swinging speed - Source from Guinness
Peak human baseball bat swinging speed = 108.1185874 mph = 174 kph = 48.33333333 m/s (Subsonic)
Typical fighting stats - gun quick drawing and shooting[]
Average shooter can fire Colt Model 1911 bullets at 70-85 rounds per minute, i.e. 0.857142857 second/round to 0.705882353 second/round. ("Below average human" perception)
Average "enthusiastic shooter" can fire Colt Model 1911 bullets at 120-180 rounds per minute, i.e. 0.5 second/round to 0.3333 second/round. ("Below average human" perception)
Expert speed-shooters can go 420-430 rounds per minute, i.e. 0.142857143 second/round to 0.139534884 second/round. (Normal Human+ perception)
Jerry Miculek himself emptied a five-shot revolver in 0.57 seconds in a group the size of a playing card, making the firing frequency 0.114 second/round (Athletic human perception).
For extended shots, he also did fire 27 rounds through a 9mm version of the 1911 in just 3.7 seconds or about 0.137037 second/round (Normal Human+ perception). This is for extended pistol trigger pulling.
Bob Munden Fastest Quick Draw (Shooting 2 target 6 feet apart within 1/10 second)
Peak human gundrawing speed = 1/20 second/round (Superhuman perception)
He himself claimed that he can shoot at within 2/100 sec/round (Subsonic perception) but that is unsupported by scientific recording.
Other real life statistics[]
Other real life statistics - Faster than Eye[]
In the past, normal humans are perceived to perceive images in 1/10 second. (Peak Human perception)
A 2014 finding says peak humans are able to perceive images in 13/1000 second. (Subsonic perception)
Another unsupported research claims that
UK Air force pilots were able to recognise an image of a plane that was flashed on screen for as little as 1/220th of a second. (Subsonic+ perception)
Other real life statistics - Walking[]
Wikipedia says. Typical average walking speed is 1.4 m/s and hastier average walking speed reaches 2.5 m/s. Scales to every character who runs as fast as a human can walk (mostly small-sized characters), e.g. coconut crab. Also useful on calculating cinematic time.
Other real life statistics - Typing[]
Typing speed of an average human is 40 wpm or 200 characters per minute, i.e. 3.33 key strikes per second (ks/s) (Below average human perception)
Typing speed of professional typists reach 60 to 75 wpm or 300 to 375 characters per minute, i.e. 5 ks/s to 6.25 ks/s (Average human perception)
The highest typing speed ever recorded was 216 wpm (1080 characters per minute or 18 ks/s, Superhuman), set by Stella Pajunas in 1946, using an IBM electric typewriter.
Currently, the fastest English language typist is Barbara Blackburn, who reached a peak typing speed of 212 wpm (1060 characters per minute or 17.66666667 ks/s, Peak human+) during a test in 2005, using a Dvorak simplified keyboard.
It takes 0.25 N ~ 1.5 N for a keyboard strike.
Assume 1 cm travel distance to make a complete strike,
Energy to press a key/button:
Low end: = 0.25 * 0.01 = 0.0025 J (Below average human)
High end: = 1.5 * 0.01 = 0.015 J (Below average human)
Lifting strength (in kg on earth):
Low end: 0.0025 / 9.81 = 0.000254842 kg = 0.254842 gram (Below average human)
High end: 0.001529052 / 9.81 = 0.001529051988 kg = 1.529051988 gram (Below average human)
Use for enemies that can be defeated by literally pressing a button. Or, for giant-/mini- sized monster rescaling calculations.