Ben 10 Calcs Season 1 Episodes 6-13

Four Arms lifts the world's largest rubber ball (Episode 6)

Feat starts at 6:06

Picture 1

Gwen's Height - 184.13 px or 1.32 meters

Radius of rubber ball - 565.04 px or 4.05/2 = 2.03 meters

Picture 2

Size of Four Arms' face - 190.76 px or 0.35 meters

Height the ball was lifted over Four Arms' head - 186.46 px or 0.34 meters

Four Arms' height - 4.61 meters

Total height the ball was lifted - 4.61+0.34 = 4.95 meters

Density of rubber - 1100 kg/m^3

Volume of a sphere - 35.041 m^3

Mass - 38,545.1 kg (Class 50)

Potential Energy = 0.45 Kilograms of TNT (Wall level)

Heatblast shoots the Megawhatts (Episode 6)

Feat starts at 17:43

Picture 1

Gwen - 208.2 px or 1.32 meters

Megawhatts' foot - 469.25 px or 2.98 meters

Picture 2

Megawhatts' foot - 376.55 px or 2.98 meters

Megawhatts' torso - 313.01 px or 2.48 meters

Picture 3

Megawhatts' torso - 212.34 px or 2.48 meters

Height of fire stream - 645.05 px or 7.53 meters

Radius of fire stream - 435.53 px or 5.09/2 = 2.55 meters

Volume of a cylinder - 153.82439 m^3

p = 0.27 kg/m^3

c = 1000 J/(kg*K)

dT = 1000

Q = p*V*c*dT

Q = 0.0099 Tons (Small Building level)

Rojo shoots a pillar (Episode 8)

Feat starts at 2:13

Grandpa Max - 482.54 px or 2 meters

Height of pillar - 281.14 px or 1.17 meters

Width of pillar - 88.05 px or 0.36 meters

Length of pillar - 61.75 px or 0.26 meters

Volume of a rectangle - 0.109512 m^3

Energy of Violent Fragmentation (69 j/cc) = 1.81 Kilograms of TNT (Wall level)

Heatblast melts an ambulance (Episode 8)

Feat starts at 10:38

Type III Ambulances weigh 4536 to 6350 kg

Average is 5443 kg

Specific Heat of Iron - 444 J/(kg*K)

Latent Heat of Fusion of Iron - 272000 J/kg

Melting Point of Iron - 1811 K

Environment temperature - 300 K

dT = 1500 K

Q = 1.22 Tons (Building level+)

Drone-Rojo lifts a tank (Episode 8)

Feat starts at 15:43

Picture 1

Gwen - 93.44 px or 1.32 meters

Heatblast - 183.04 px or 2.59 meters

Picture 2

Heatblast - 261.35 px or 2.59 meters

Drone-Rojo - 271.18 px or 2.69 meters

Picture 3

Drone-Rojo - 189.38 px or 2.69 meters

Height the tank was lifted - 218.12 px or 3.1 meters

Mass of M1 Abrams - 54,431.1 kg (Class 100)

Potential Energy = 0.4 Kilograms of TNT (Wall level)

Acidbreath melts an anvil (Episode 9)

Feat starts at 4:20

Using a 45 kg anvil

Specific Heat of Steel - 510.7896 J/(kg*K)

Latent Heat of Fusion of Steel - 272000 J/kg (For iron but it is close enough)

Melting Point of Steel - 1643.15 K

Environment temperature - 300 K

dT - 1343.15 K

Q = 0.01 Tons (Small Building level)

Acidbreath melts a car (Episode 9)

Feat starts at 8:30

Average weight of a car - 1850 kg

Specific Heat of Iron - 444 J/(kg*K)

Latent Heat of Fusion of Iron - 272000 J/kg

Melting Point of Iron - 1811 K

Environment temperature - 300 K

dT - 1500 K

Q = 0.41 Tons (Building level)

A steel tower collapses on Wildmutt (Episode 9)

Feat starts at 9:52

Picture 1

Distance between Wildmutt's two teeth - 40.01 px or 0.36 meters

Height of steel pillar - 694 px or 6.24 meters

Width of steel pillar - 150.97 px or 1.36 meters

Length of steel pillar - 68.68 px or 0.62 meters

Picture 2

Width of steel pillar - 12.05 px or 1.36 meters

Additional height of steel pillar - 498.04 px or 56.21 meters

Volume of a rectangle - 52.65784 m^3

Density of steel - 8050 kg/m^3

Mass of the steel pillar - 423,895.612 kg

Volume of all four steel pillars - 210.63136 m^3

Mass of all four steel pillars - 1,695,582.448 kg

Width of bottom steel beam - 104.31 px or 11.77 meters

Height of bottom steel beam - 15 px or 1.69 meters

Length of bottom steel beam - 6.1 px or 0.69 meters

Volume of a rectangle - 13.748319 m^3

Mass of bottom steel beam - 110,673.96795 kg

Volume of all 12 bottom steel beams - 164.979828 m^3

Mass of all 12 bottom steel beams - 1,328,087.6154 kg

Height of diagonal steel beam - 240.12 px or 27.1 meters

Width of diagonal steel beam - 14 px or 1.58 meters

Length of diagonal steel beam - 6.39 px or 0.72 meters

Volume of a rectangle - 30.82896 m^3

Mass of diagonal steel beam - 248,173.128 kg

Volume of all 12 diagonal steel beams - 369.94752 m^3

Mass of all 12 diagonal steel beams - 2,978,077.536 kg

Height of steel platform - 21.1 px or 2.38 meters

Width of steel platform - 109.5 px or 12.36 meters

Length of steel platform - 84.01 px or 9.48 meters

Volume of a rectangle - 278.871264 m^3

Mass of steel platform - 2,244,913.6752 kg

Height of steel pipe - 127 px or 14.33 meters

Radius of steel pipe - 17.03 px or 1.92/2 = 0.96 meters

Volume of a cylinder - 41.48953 m^3

Mass of steel pipe - 333,990.7165 kg

Volume of all 12 steel pipes - 497.87436 m^3

Mass of all 12 steel pipes - 4,007,888.598

Height of top steel beam - 15 px or 1.69 meters

Width of top steel beam - 90.82 px or 10.25 meters

Length of top steel beam - 8.28 px or 0.93 meters

Volume of a rectangle - 16.109925 m^3

Mass of top steel beam - 129,684.89625 kg

Volume of all 12 top steel beams - 193.3191 m^3

Mass of all 12 top steel beams - 1,556,218.755 kg

Total volume of the steel tower - 1715.523432 m^3

Total mass of the steel tower - 13,810,768.6276 kg

There are three ways of determining Wildmutt's durability from the steel tower collapsing on him.

Energy of Fragmentation

Total volume of the steel tower - 1715.523432 m^3

Energy of Fragmentation (208 j/cc) = 85.28 Tons (City Block level+)

Potential Energy

Total mass of the steel tower - 13,810,768.6276 kg

Height of the steel tower - (62.45+14.33) = 76.78 meters

Potential Energy = 2.48 Tons (Large Building level)

Kinetic Energy

Total mass of the steel tower - 13,810,768.6276 kg

Height of the steel tower - (62.45+14.33) = 76.78 meters

Video runs in 25 fps

It took 110 frames for the steel tower to collapse

Timframe - 4.4 seconds

Speed - 17.45 m/s

Kinetic Energy = 0.5 Tons (Building level)

Clancy's building falls on Four Arms (Episode 12)

Feat starts at 13:15

Window - 62.01 px or 1.5 meters

Width of building - 904.01 px or 21.87 meters

Height of building - 565.01 px or 13.67 meters

Assuming the length of the building is the same as its width and assuming 80% hollowness.

Volume of a rectangle - 119.58516 m^3

Energy of Fragmentation (8 j/cc) = 0.23 Tons (Small Building level+)

Vilgax jumps into the street (Episode 13)

Feat starts at 8:06

Picture 1

Heatblast - 172.81 px or 2.59 meters

Vilgax - 415.93 px or 6.23 meters

Picture 2

Vilgax - 131.02 px or 6.23 meters

Radius of crater - 373.09 px or 17.74/2 = 8.87 meters

Height of crater - 45.01 px or 2.14 meters

Volume of a spherical cap - 117.3519 m^3

Energy of Pulverization (214.35 j/cc) = 6.01 Tons (Large Building level)

Vilgax jumps into Stinkfly (Episode 13)

Feat starts at 10:18

Vilgax - 19 px or 6.23 meters

Screen - 770.01 px

2atan(tan(70/2)*(19/770.01) = 1.979672893402

Distance - 180.29 meters

Video runs in 25 fps

It took 90 frames for Vilgax to reach Stinkfly

Timeframe - 3.6 seconds

Speed - 50.08 m/s (Subsonic)

Using the square cube law to find Vilgax's mass

Average human height - 1.7 meters

Average human volume - 0.07 m^3

V2 = 0.07*(6.23/1.7)^3

V2 = 0.25652941176470588235294117647059 m^3

Density of the human body - 985 kg/m^3

Vilgax's mass - 252.68 kg

Kinetic Energy = 75.73 Grams of TNT (Wall level)

Stinkfly shoots Vilgax into the ground (Episode 13)

Feat starts at 10:30

Vilgax - 573.18 px or 6.23 meters

Radius of crater - 1144.25 px or 12.22/2 = 6.11 meters

Height of crater - 378.01 px or 4.11 meters

Volume of a spherical cap - 251.54278 m^3

Energy of Pulverization (214.35 j/cc) = 12.89 Tons (City Block level)

Vilgax slams Stinkfly into a building (Episode 13)

Feat starts at 11:03

Window - 75.24 px or 1.5 meters

Diameter of explosion - 1364 px or 27.19 meters

Yield of explosion - 0.00116 Kilotons or 1.16/2 = 0.58 Tons (Building level)

Vilgax destroys one of the President's faces (Episode 13)

Feat starts at 18:50

Height of face - 341.77 px or 18 meters

Width of face - 259.12 px or 13.65 meters

Length of face - 169.19 px or 8.91 meters

Volume of a rectangle - 2189.187 m^3

Energy of Fragmentation (8 j/cc) = 4.19 Tons (Large Building level)

Final Tally

Energy

Drone-Rojo lifts a tank - 0.4 Kilograms of TNT (Wall level)

Four Arms lifts the world's largest rubber ball - 0.45 Kilograms of TNT (Wall level)

Rojo shoots a pillar - 1.81 Kilograms of TNT (Wall level)

Heatblast shoots the Megawhatts - 0.0099 Tons (Small Building level)

Acidbreath melts an anvil - 0.01 Tons (Small Building level)

Clancy's building falls on Four Arms - 0.23 Tons (Small Building level+)

Acidbreath melts a car - 0.41 Tons (Building level)

A steel tower collapses on Wildmutt - 0.5 Tons (Building level) - 2.48 Tons (Large Building level) - 85.28 Tons (City Block level+)

Vilgax slams Stinkfly into a building - 0.58 Tons (Building level)

Heatblast melts an ambulance - 1.22 Tons (Building level+)

Vilgax destroys one of the President's faces - 4.19 Tons (Large Building level)

Vilgax jumps into the street - 6.01 Tons (Large Building level)

Stinkfly shoots Vilgax into the ground - 12.89 Tons (City Block level)

Speed

Vilgax jumps into Stinkfly - Mach 0.146 (Subsonic)

Lifting Strength

Four Arms lifts the world's largest rubber ball - 38,545.1 Kilograms (Class 50)

Drone-Rojo lifts a tank - 54,431.1 Kilograms (Class 100)