Aang's Airbending vs Fire Nation Munitions
^The Feat
1st Image
Aang = 407 pixels
Fire Nation Soldier = 577 pixels
Fire Nation Soldier/Aang = 1.418
Aang = 1.37 meters (here)
Fire Nation Solider = 1.943 meters
2nd Image
Fire Nation Soldier = 385 pixels
Boulder = 560 pixels
Boulder/Fire Nation Soldier = 1.514
Boulder = 2.827 meters
Volume = (4/3)PIr^3
r = Boulder
Boulder Volume = 11.824 m^3
Rock Density = 2,700 kg/m^3
Boulder Mass = 31,924.8 kilograms
Ship Length = 70 pixels
Travel = 30 pixels
Travel/Ship Length = 0.429
Ship Length = 177.644 meters (found here)
Travel = 76.209 meters
Time Frame = 0.083 seconds (here to here)
Boulder Speed = 918.181 m/s
KE = 0.5mv^2
Boulder Kinetic Energy = 13,452,987,380 joules or 3.215 tons Canyon Guide's Earthbending
^The Feat
Guy's so fodder, his arms breaking meant he couldn't Earthbend... in a style of fighting that's heavily reliant on the legs?
1st Image
Aang = 60 pixels
Boulder Diameter 1 = 250 pixels
Boulder Diameter 2 = 196 pixels
Boulder Diameter 1/Aang = 4.167
Boulder Diameter 2/Aang = 3.267
Aang = 1.37 meters (here)
Boulder Diameter 1 = 5.709 meters
Boulder Diameter 2 = 4.476 meters
Volume = PIr1^2r2
r1 = (Boulder Diameter 2)/2
r2 = (Boulder Diameter 1)/2
Boulder Volume = 59.858 m^3
2nd Image
Boulder Diameter 2 = 90 pixels
Ridge Length = 600 pixels
Ridge Height = 67 pixels
Ridge Width = 158 pixels
Ridge Length/Boulder Diameter 2 = 6.667
Ridge Height/Boulder Diameter 2 = 0.744
Ridge Width/Boulder Diameter 2 = 1.755
Ridge Length = 29.841 meters
Ridge Height = 3.33 meters
Ridge Width = 7.855 meters
Volume = LWH
L = Ridge Length
W = Ridge Width
H = Ridge Height
Ridge Volume = 780.556 m^3
Add the Boulder and Ridge Volume for...
Total Volume = 840.414 m^3
8 j/cc
Canyon Guide's Earthbending Yield = 6,723,312,000 joules or 1.607 tons Iroh's Speed vs Lightning
^The Feat
Iroh = 19 pixels
Lightning = 238 pixels
Iroh/Lightning = 0.0798
Lightning Speed = 440,000 m/s
Iroh's Speed = 35,112 m/s or mach 103.183 Aang's Airbending vs Lava
^The Feat
Aang = 60 pixels
Town Square = 1116 pixels
Town Square/Aang = 18.6
Aang = 1.37 meters (here)
Town Square = 25.482 meters
Town Square = 42 pixels
Town Diameter 1 = 152 pixels
Town Diameter 2 = 212 pixels
Town Diameter 1/Town Square = 3.619
Town Diameter 2/Town Square = 5.048
Town Diameter 1 = 92.219 meters
Town Diameter 2 = 128.633 meters
Town Half Circumference = 175.799 meters
Aang = 22 pixels
Magma Thickness = 303 pixels
Magma Thickness/Aang = 13.773
Magma Thickness = 18.869 meters
Town Diameter 2 = 1085 pixels
Magma Height = 200 pixels
Magma Height/Town Diameter = 0.184
Magma Height = 23.668 meters
Triangular Prism Volume = (LWH)/3
L = Town Half Circumference
W = Magma Thickness
H = Magma Height
Cooled Magma Volume = 26,170.113 m^3
By all means, I'd love more specific scholarly citations than a handout. Link away, I'll settle for this in the interim *shrugs*
Density of Basaltic Magma = 3,000 kg/m^3
Cooled Magma Mass = 78,510,339 kilograms
Energy = (Mass)(Specific Heat)(Change in Temperature)
Specific Heat Basalt = 1400
Specific Heat Basaltic Magma = 1000
Magma Temperature Upon Eruption = 1300 C
Melting Point Basalt = 1200 C
Change in Temperature (Pre-Solid) = 100 C
Energy (Pre-Solidification) = (Cooled Magma Mass)(Specific Heat Basaltic Magma)(Change in Temperature [Pre-Solid]) = 7,851,033,900,000 joules
Basalt Final Temperature (Low End) = 650 C
Basalt Final Temperature (High End) = 500 C
Figure the "brownish red" range is a serviceable low end for its initial cooled temperature.
Change in Temperature (Post-Solid; Low End) = 550 C
Change in Temperature (Post-Solid; High End) = 700 C
Energy (Post-Solidification; Low End) = (Cooled Magma Mass)(Specific Heat Basalt)(Change in Temperature [Post-Solid; Low End]) = 60,452,961,030,000 joules
Energy (Post-Solidification; High End) (Cooled Magma Mass)(Specific Heat Basalt)(Change in Temperature [Post-Solid; High End]) = 76,940,132,220,000 joules
Latent Energy (Phase State Change) = (Mass)(Latent Heat of Fusion)
Latent Heat of Fusion Basalt = 400,000 joules/kg
Latent Energy = 31,404,135,600,000 joules
Total Energy (Low End) = 99,708,130,530,000 joules or 23.831 kilotons
Total Energy (High End) = 108,344,267,820,000 joules or 25.895 kilotons
^Probably says a good deal about bending masters on the level of someone like Bumi for example.
^The Feat
1st Image
Aang = 407 pixels
Fire Nation Soldier = 577 pixels
Fire Nation Soldier/Aang = 1.418
Aang = 1.37 meters (here)
Fire Nation Solider = 1.943 meters
2nd Image
Fire Nation Soldier = 385 pixels
Boulder = 560 pixels
Boulder/Fire Nation Soldier = 1.514
Boulder = 2.827 meters
Volume = (4/3)PIr^3
r = Boulder
Boulder Volume = 11.824 m^3
Rock Density = 2,700 kg/m^3
Boulder Mass = 31,924.8 kilograms
Ship Length = 70 pixels
Travel = 30 pixels
Travel/Ship Length = 0.429
Ship Length = 177.644 meters (found here)
Travel = 76.209 meters
Time Frame = 0.083 seconds (here to here)
Boulder Speed = 918.181 m/s
KE = 0.5mv^2
Boulder Kinetic Energy = 13,452,987,380 joules or 3.215 tons
^The Feat
Guy's so fodder, his arms breaking meant he couldn't Earthbend... in a style of fighting that's heavily reliant on the legs?
1st Image
Aang = 60 pixels
Boulder Diameter 1 = 250 pixels
Boulder Diameter 2 = 196 pixels
Boulder Diameter 1/Aang = 4.167
Boulder Diameter 2/Aang = 3.267
Aang = 1.37 meters (here)
Boulder Diameter 1 = 5.709 meters
Boulder Diameter 2 = 4.476 meters
Volume = PIr1^2r2
r1 = (Boulder Diameter 2)/2
r2 = (Boulder Diameter 1)/2
Boulder Volume = 59.858 m^3
2nd Image
Boulder Diameter 2 = 90 pixels
Ridge Length = 600 pixels
Ridge Height = 67 pixels
Ridge Width = 158 pixels
Ridge Length/Boulder Diameter 2 = 6.667
Ridge Height/Boulder Diameter 2 = 0.744
Ridge Width/Boulder Diameter 2 = 1.755
Ridge Length = 29.841 meters
Ridge Height = 3.33 meters
Ridge Width = 7.855 meters
Volume = LWH
L = Ridge Length
W = Ridge Width
H = Ridge Height
Ridge Volume = 780.556 m^3
Add the Boulder and Ridge Volume for...
Total Volume = 840.414 m^3
8 j/cc
Canyon Guide's Earthbending Yield = 6,723,312,000 joules or 1.607 tons
^The Feat
Iroh = 19 pixels
Lightning = 238 pixels
Iroh/Lightning = 0.0798
Lightning Speed = 440,000 m/s
Iroh's Speed = 35,112 m/s or mach 103.183
^The Feat
Aang = 60 pixels
Town Square = 1116 pixels
Town Square/Aang = 18.6
Aang = 1.37 meters (here)
Town Square = 25.482 meters
Town Square = 42 pixels
Town Diameter 1 = 152 pixels
Town Diameter 2 = 212 pixels
Town Diameter 1/Town Square = 3.619
Town Diameter 2/Town Square = 5.048
Town Diameter 1 = 92.219 meters
Town Diameter 2 = 128.633 meters
Town Half Circumference = 175.799 meters
Aang = 22 pixels
Magma Thickness = 303 pixels
Magma Thickness/Aang = 13.773
Magma Thickness = 18.869 meters
Town Diameter 2 = 1085 pixels
Magma Height = 200 pixels
Magma Height/Town Diameter = 0.184
Magma Height = 23.668 meters
Triangular Prism Volume = (LWH)/3
L = Town Half Circumference
W = Magma Thickness
H = Magma Height
Cooled Magma Volume = 26,170.113 m^3
By all means, I'd love more specific scholarly citations than a handout. Link away, I'll settle for this in the interim *shrugs*
Density of Basaltic Magma = 3,000 kg/m^3
Cooled Magma Mass = 78,510,339 kilograms
Energy = (Mass)(Specific Heat)(Change in Temperature)
Specific Heat Basalt = 1400
Specific Heat Basaltic Magma = 1000
Magma Temperature Upon Eruption = 1300 C
Melting Point Basalt = 1200 C
Change in Temperature (Pre-Solid) = 100 C
Energy (Pre-Solidification) = (Cooled Magma Mass)(Specific Heat Basaltic Magma)(Change in Temperature [Pre-Solid]) = 7,851,033,900,000 joules
Basalt Final Temperature (Low End) = 650 C
Basalt Final Temperature (High End) = 500 C
Figure the "brownish red" range is a serviceable low end for its initial cooled temperature.
Change in Temperature (Post-Solid; Low End) = 550 C
Change in Temperature (Post-Solid; High End) = 700 C
Energy (Post-Solidification; Low End) = (Cooled Magma Mass)(Specific Heat Basalt)(Change in Temperature [Post-Solid; Low End]) = 60,452,961,030,000 joules
Energy (Post-Solidification; High End) (Cooled Magma Mass)(Specific Heat Basalt)(Change in Temperature [Post-Solid; High End]) = 76,940,132,220,000 joules
Latent Energy (Phase State Change) = (Mass)(Latent Heat of Fusion)
Latent Heat of Fusion Basalt = 400,000 joules/kg
Latent Energy = 31,404,135,600,000 joules
Total Energy (Low End) = 99,708,130,530,000 joules or 23.831 kilotons
Total Energy (High End) = 108,344,267,820,000 joules or 25.895 kilotons
^Probably says a good deal about bending masters on the level of someone like Bumi for example.
Final Tally
Episode 8
Boulder Speed = 918.181 m/s
Boulder Kinetic Energy/Aang's Airbending Yield = 3.215 tons
Episode 11
Canyon Guide's Earthbending Yield = 1.607 tons
Episode 12
Iroh's Speed = 35,112 m/s
Episode 14
Aang's Airbending vs Lava Yield (Low End) = 23.831 kilotons
Aang's Airbending vs Lava Yield (High End) = 25.895 kilotons
