Explanation of the feat[]
A tired, injured, hungry, and weakened in pain Luffy threw a rock hard enough to crush a mountain.
"Tempest those don't look like mountains" yes they do. Here's a better look from the manga, here too. Here as well.
Dimensions of the Rock[]
Green line is the diameter of the rock which will be halved for the radius
Blue line is the height
Assuming it's a cylinder and using the red line to find the height
Mountain: 609.6 m
Mountain: 323 px
Rock Diameter: 112.3 px
Rock Diameter: 211.94452012384 m
Rock Height: 110.7 px
Rock Height: 208.92482972136 m
Rock Radius = 105.97226006192m
Volume of Rock thrown by Luffy is 7370964.55 m3
Mass of the Rock[]
Density is 2700 kg/m3
2700 * 7370964.55 = 19901604285 kg (Class G)
How far did Luffy throw the rock?[]
212.3 px = 400.67517027864m
Timeframe of Luffy throwing the rock[]
http://www.watchframebyframe.com/watch/yt/jAgQV2tpSUQ
1:25:93 is when it's thrown
1:27:40 is when it lands
1 second and 47 ms
KE Of Rock[]
Velocity = 489.517066665/1.47 = 333.004807255 m/s
KE = 1/2 * 19901604285 * 333.004807255^2 = 1103466357814516.0187873153805410625 joules
Luffy's Dimensions and Movement[]
Luffy: 1.72m
Luffy: 558.2 px
Luffy's Upper Arms: 124.5 px
Luffy's Upper Arms: 0.38362594052311
0.38362594052311 * 90 * pi/180 = 0.60259821823m
Force[]
1103466357814516.0187873153805410625 / 0.60259821823 = 1.8311809e+15 N
Results[]
Luffy Throws Boulder = 1.8311809e+15 N = 1.867284852629299996e14 kgf (Class T)
EDIT[]
Ok so I've gotten several messages from people in and out of the wiki who have skimmed through this calc, even from CGMs, that this doesn't look like a mountain. That's fair.
After ridiculous amounts of help, I managed to possibly recalc the size. And because I'm lazy, I'm just going to multiply the value by (height of new mountain/609.6)^5 instead of recalcing this entire thing.
Height of Ships[]
The ship's length is comparable to Oars Jr.
Marine Ship Length: 60m
Marine Ship Length: 217 px
Marine Ship Height: 296 px
Marine Ship Height: 81.84331797235m
Height of Kuja Ship[]
Marine Ship Height: 81.84331797235m
Marine Ship Height: 118 px
Kuja Ship Height: 67 px
Kuja Ship Height: 46.470358509724m
Height of Ship to Gate[]
Kuja Ship Height: 46.470358509724m
Kuja Ship Height: 241 px
Gate Height: 544 px
Gate Height: 104.8957470095m
Width of Crack[]
Gate Height: 104.8957470095m
Gate Height: 43 px
Width of Cracked Rock: 41.8 px
Width of Cracked Rock: 101.96842383714m
Height of Rock[]
Width of Cracked Rock: 101.96842383714m
Width of Cracked Rock: 132.7 px
Height of Cracked Rock: 323 px
Height of Cracked Rock: 248.19744460736m
New Result[]
5 because there's 3 meters in the math (m3) and 2 in the velocity^2 (m/s, both of them squared), so 5.
1.8311809e+15 * (248.19744460736/609.6)^5 = 20487689662320.475462 = 2.048e13 N = 2.0883e12 kgf (Class T)
Even Newer Result[]
User blog:Eminiteable/Amazon Lily Size Calc
Drastically better scaling for the ship's height than mine
20487689662320.475462 * (295.68/46.470358509724)^5 = 2.136597e17 N = 2.178722e16 kgf