Avatar State Szeto's Lavabending
^The Feat
Being blunt, there's only one way to scale this as this is the only shot/frame of reference for those volcanoes we ever get in the series.
Ergo, we'll resort to IRL values to derive a value because we can't really scale this any other way.
According to here? Cinder Cone Volcano range from a base diameter of 250-2,500 meters (average was given as 800 meters), a crater diameter of 50-600 meters, and elevation of 50-300 meters.
Keeping that in mind, The goal is to use parameters that encompass, at the bear minimum, 3 measures that fall within the ranges provided. For our purposes, we're required to use the base diameter to accommodate this.
I'm only going for a low end (250 meters) and middle end (the average, 800 meters). Can't really endorse the high end. At least the pair I'm choosing are either conservative or have a solid probability of being representative of the average respectively.
Also just lazy, but you already know that. *shrugs*
Volcano Basal Radius = 168 pixels
Distance = 492 pixels
Lava Diameter 1 = 78 pixels
Lava Diameter 2 = 195 pixels
Lava Height = 1357 pixels
Distance/Volcano Basal Radius = 2.929
Lava Diameter 1/Volcano Basal Radius = 0.464
Lava Diameter 2/Volcano Basal Radius = 1.161
Lava Height/Volcano Basal Radius = 8.077
Volcano Basal Radius (Low End) = 125 meters
Volcano Basal Radius (Middle End) = 400 meters
Time Frame = 0.083 seconds (24 FPS, 2 frames, here and here)
Distance (Low End) = 366.125 meters
Distance (Middle End) = 1,171.6 meters
Lava Speed (Low End) = 4,411.145 m/s
Lava Speed (Middle End) = 14,115.663 m/s
Lava Diameter 1 (Low End) = 58 meters
Lava Diameter 2 (Low End) = 145.125 meters
Lava Height (Low End) = 1,009.625 meters
Lava Diameter 1 (Middle End) = 185.6 meters
Lava Diameter 2 (Middle End) = 464.4 meters
Lava Height (Middle End) = 3,230.8 meters
Calculator
Lava Volume (Low End) = 8,680,907.683 m^3
Lava Volume (Middle End) = 284,455,982.951 m^3
Density of Basaltic Magma = 3,000 kg/m^3
Lava Mass (Low End) = 26,042,723,049 kilograms
Lava Mass (Middle End) = 853,367,948,853 kilograms
KE = 0.5mv^2
m = Lava Mass
v = Lava Speed
Lava Kinetic Energy (Low End) = 253,372,259,563,858,700 joules
Lava Kinetic Energy (Middle End) = 85,017,610,494,706,680,000 joules
Number of Eruptions = 4
Avatar State Szeto Total Lavabending Yield (Low End) = 1,013,489,038,255,435,000 joules or 242.23 megatons
Avatar State Szeto Total Lavabending Yield (Middle End) = 340,070,441,978,826,700,000 joules or 81.279 gigatons Azula's Lightningbending vs Iroh's Redirection
^The Feat
Zuko = 107 pixels
Half Structure = 289 pixels
Structure = 578 pixels
Structure/Zuko = 5.402
Zuko = 1.6 meters (here)
Structure = 8.643 meters
Believe it or not, the bit I measure more or less lines up with where Iroh redirects her Lightning.
Mind you, it's drawn with so much less detail than the later shot and the boat isn't facing the right direction, but the general location appears spot on if you take note of his position from this angle here.
Structure (light blue line) = 14 pixels
Half Rock Formation (light green line) = 115 pixels
Half Rock Formation/Structure = 8.214
Half Rock Formation = 70.994 meters
Half Rock Formation = 734 pixels
Crater Diameter = 279 pixels
Crater Depth = 29 pixels
Crater Diameter/Half Rock Formation = 0.379
Crater Depth/Half Rock Formation = 0.04
Crater Diameter = 26.907 meters
Crater Depth = 2.84 meters
Volume = (2/3)PIr1^2r2
r1 = Crater Diameter/2
r2 = Crater Depth
Crater Volume = 1,076.037 m^3
8 j/cc
Azula's Lightningbending Yield = 8,608,296,000 joules or 2.057 tons
As far as speed for Iroh is concerned? It's kind of hard to say what percentage of its speed he moved. Like, she fires it off for a bit, Iroh then proceeds to get in front of Zuko fast enough to intercept it? Maybe run up the ramp as he's channeling it and catch her hand? Or had he already gotten up the ramp? Avatar State Kyoshi Creates Kyoshi Island
^The Feat
Unagi Eye = 62 pixels
Unagi Partial Body Length = 918 pixels
Unagi Partial Body Length/Unagi Eye = 14.806
Unagi Eye = 6.616 meters (here)
Unagi Partial Body Length = 97.956 meters
Now, bear with me, but given what we know about large snakes like Cobra? It'd be pretty fair to say what we're seeing above water is probably only about 1/3rd the Unagi's full body length.
Thus?
Full Unagi Length = 293.868 meters
Not ideal, but the shadow underwater does convey the Unagi's full length at any rate. Its hard to see due to the lighting, but you can see it if you pay attention to the brightened background.
Unagi = 136 pixels
Bay = 1440 pixels
Bay/Unagi = 10.588
Bay = 3,111.474 meters
Circle Surface Area = PIr^2
r = Bay/2
Bay Surface Area = 7,599,797.305 m^2
We'll need that in a second.
Bay = 85 pixels
Island Length = 275 pixels
Island Width 1 = 297 pixels
Island Width 2 = 142 pixels
Island Length/Bay = 3.118
Island Width 1/Bay = 3.494
Island Width 2/Bay = 1.671
Island Length = 9,701.576 meters
Island Width 1 = 10,871.49 meters
Island Width 2 = 5,199.273 meters
It's vaguely shaped like an ellipse.
Ellipse Surface Area = PIr1r2
r1 = Island Length/2
r2 = (Island Width 1)/2
Island Surface Area = 82,794,410.378 m^2
Now subtract the bay's surface area.
Total Island Surface Area = Island Surface Area - Bay Surface Area = 75,194,613.073 m^2
Island Width 2 = 1505 pixels
Distance (Start) = 336 pixels
Distance (End) = 647 pixels
Distance = Distance (End) - Distance (Start) = 311 pixels
Distance/Island Width 2 = 0.207
Distance = 1,076.25 meters
Time Frame = 0.042 seconds (24 FPS, 1 Frame; here and here)
Avatar State Kyoshi's Earthbending Speed = 25,625 m/s or mach 75.303
Now for the meat of the feat.
Panel Width = 1440 pixels
Island Width 1 (Start) = 862 pixels
Island Width 1 (End) = 477 pixels
Island Elevation = 39 pixels
Mountain Elevation = 91 pixels
Island Elevation/Island Width 1 (Start) = 0.045
Mountain Elevation/Island Width 1 (Start) = 0.106
Island Elevation = 489.217 meters
Average Ocean Depth = 3,682 meters (here, because the island would kind of just sink beneath the waves if Kyoshi wasn't being considerate of moving the depth of the rock with the rest of the island)
Thus?
Total Island Height = 4,171.217 meters
Volume 1 = Total Island Surface Area * Total Island Height = 313,653,048,358.52 m^3
Mountain Elevation = 1,152.378 meters
Treating the Topography like a cone to try and be conservative as possible given hell if I have enough info to find a fully on point above ocean mass.
Volume 2 = ((Total Island Surface Area)*H)/3 = 28,884,205,941.279 m^3
Thus?
Total Island Volume = Volume 1 + Volume 2 = 342,537,254,299.799 m^3
Rock Density = 2,700 m^3
Total Island Mass = 924,850,586,609,457.3 kilograms
Now angular size for the distance traveled from start to end point.
2*atan(Object_Size/(Panel_Width/tan(FoV/2))) = object degree size
2*atan(862/(1440/tan(70/2)))
2*atan(477/(1440/tan(70/2)))
Island Width 1 (Start) = 45.482 degrees
Island Width 1 (End) = 26.117 degrees
Calculator
Island Distance (Start) = 12,968 meters
Island Distance (End) = 23,346 meters
Distance = Island Distance (End) - Island Distance (Start) = 10,378 meters
Time Frame = 1.958 seconds (47 Frames, 24 FPS; here and here)
Island Speed = 5,300.306 m/s
KE = 0.5mv^2
m = Total Island Mass
v = Island Speed
Avatar State Kyoshi's Bending Yield = 12,991,026,454,910,850,000,000 joules or 3.105 teratons
Probably could do something with her Avatar State Airbending Speed, but I honestly can't tell if its new air or its just rushing that far into the distance that ridiculously fast. The shifting occurs every 2 frames or so, so the speed would be pretty ridiculous. Azula's Lightningbending vs Toph's Earthbending
^The Feat
Azula = 43 pixels
Rock Height = 278 pixels
Rock Thickness= 50 pixels
Rock Height/Azula = 6.465
Rock Thickness/Azula = 1.163
Azula = 1.52 meters (here)
Rock Height = 9.827 meters
Rock Thickness = 1.768 meters
Rock Height = 646 pixels
Hole Height = 607 pixels
Hole Diameter = 783 pixels
Hole Height/Rock Height = 0.94
Hole Diameter/Rock Height = 1.212
Hole Height = 9.237 meters
Hole Diameter = 11.91 meters
Volume = (PIr1r2*H)/2
r1 = Hole Height
r2 = Hole Diameter/2
H = Rock Thickness
Hole Volume = 152.684 m^3
200 j/cc
Azula's Lightningbending Yield = 30,536,800,000 joules or 7.298 tons
^The Feat
Being blunt, there's only one way to scale this as this is the only shot/frame of reference for those volcanoes we ever get in the series.
Ergo, we'll resort to IRL values to derive a value because we can't really scale this any other way.
According to here? Cinder Cone Volcano range from a base diameter of 250-2,500 meters (average was given as 800 meters), a crater diameter of 50-600 meters, and elevation of 50-300 meters.
Keeping that in mind, The goal is to use parameters that encompass, at the bear minimum, 3 measures that fall within the ranges provided. For our purposes, we're required to use the base diameter to accommodate this.
I'm only going for a low end (250 meters) and middle end (the average, 800 meters). Can't really endorse the high end. At least the pair I'm choosing are either conservative or have a solid probability of being representative of the average respectively.
Also just lazy, but you already know that. *shrugs*
Volcano Basal Radius = 168 pixels
Distance = 492 pixels
Lava Diameter 1 = 78 pixels
Lava Diameter 2 = 195 pixels
Lava Height = 1357 pixels
Distance/Volcano Basal Radius = 2.929
Lava Diameter 1/Volcano Basal Radius = 0.464
Lava Diameter 2/Volcano Basal Radius = 1.161
Lava Height/Volcano Basal Radius = 8.077
Volcano Basal Radius (Low End) = 125 meters
Volcano Basal Radius (Middle End) = 400 meters
Time Frame = 0.083 seconds (24 FPS, 2 frames, here and here)
Distance (Low End) = 366.125 meters
Distance (Middle End) = 1,171.6 meters
Lava Speed (Low End) = 4,411.145 m/s
Lava Speed (Middle End) = 14,115.663 m/s
Lava Diameter 1 (Low End) = 58 meters
Lava Diameter 2 (Low End) = 145.125 meters
Lava Height (Low End) = 1,009.625 meters
Lava Diameter 1 (Middle End) = 185.6 meters
Lava Diameter 2 (Middle End) = 464.4 meters
Lava Height (Middle End) = 3,230.8 meters
Calculator
Lava Volume (Low End) = 8,680,907.683 m^3
Lava Volume (Middle End) = 284,455,982.951 m^3
Density of Basaltic Magma = 3,000 kg/m^3
Lava Mass (Low End) = 26,042,723,049 kilograms
Lava Mass (Middle End) = 853,367,948,853 kilograms
KE = 0.5mv^2
m = Lava Mass
v = Lava Speed
Lava Kinetic Energy (Low End) = 253,372,259,563,858,700 joules
Lava Kinetic Energy (Middle End) = 85,017,610,494,706,680,000 joules
Number of Eruptions = 4
Avatar State Szeto Total Lavabending Yield (Low End) = 1,013,489,038,255,435,000 joules or 242.23 megatons
Avatar State Szeto Total Lavabending Yield (Middle End) = 340,070,441,978,826,700,000 joules or 81.279 gigatons
^The Feat
Zuko = 107 pixels
Half Structure = 289 pixels
Structure = 578 pixels
Structure/Zuko = 5.402
Zuko = 1.6 meters (here)
Structure = 8.643 meters
Believe it or not, the bit I measure more or less lines up with where Iroh redirects her Lightning.
Mind you, it's drawn with so much less detail than the later shot and the boat isn't facing the right direction, but the general location appears spot on if you take note of his position from this angle here.
Structure (light blue line) = 14 pixels
Half Rock Formation (light green line) = 115 pixels
Half Rock Formation/Structure = 8.214
Half Rock Formation = 70.994 meters
Half Rock Formation = 734 pixels
Crater Diameter = 279 pixels
Crater Depth = 29 pixels
Crater Diameter/Half Rock Formation = 0.379
Crater Depth/Half Rock Formation = 0.04
Crater Diameter = 26.907 meters
Crater Depth = 2.84 meters
Volume = (2/3)PIr1^2r2
r1 = Crater Diameter/2
r2 = Crater Depth
Crater Volume = 1,076.037 m^3
8 j/cc
Azula's Lightningbending Yield = 8,608,296,000 joules or 2.057 tons
As far as speed for Iroh is concerned? It's kind of hard to say what percentage of its speed he moved. Like, she fires it off for a bit, Iroh then proceeds to get in front of Zuko fast enough to intercept it? Maybe run up the ramp as he's channeling it and catch her hand? Or had he already gotten up the ramp?
^The Feat
Unagi Eye = 62 pixels
Unagi Partial Body Length = 918 pixels
Unagi Partial Body Length/Unagi Eye = 14.806
Unagi Eye = 6.616 meters (here)
Unagi Partial Body Length = 97.956 meters
Now, bear with me, but given what we know about large snakes like Cobra? It'd be pretty fair to say what we're seeing above water is probably only about 1/3rd the Unagi's full body length.
Thus?
Full Unagi Length = 293.868 meters
Not ideal, but the shadow underwater does convey the Unagi's full length at any rate. Its hard to see due to the lighting, but you can see it if you pay attention to the brightened background.
Unagi = 136 pixels
Bay = 1440 pixels
Bay/Unagi = 10.588
Bay = 3,111.474 meters
Circle Surface Area = PIr^2
r = Bay/2
Bay Surface Area = 7,599,797.305 m^2
We'll need that in a second.
Bay = 85 pixels
Island Length = 275 pixels
Island Width 1 = 297 pixels
Island Width 2 = 142 pixels
Island Length/Bay = 3.118
Island Width 1/Bay = 3.494
Island Width 2/Bay = 1.671
Island Length = 9,701.576 meters
Island Width 1 = 10,871.49 meters
Island Width 2 = 5,199.273 meters
It's vaguely shaped like an ellipse.
Ellipse Surface Area = PIr1r2
r1 = Island Length/2
r2 = (Island Width 1)/2
Island Surface Area = 82,794,410.378 m^2
Now subtract the bay's surface area.
Total Island Surface Area = Island Surface Area - Bay Surface Area = 75,194,613.073 m^2
Island Width 2 = 1505 pixels
Distance (Start) = 336 pixels
Distance (End) = 647 pixels
Distance = Distance (End) - Distance (Start) = 311 pixels
Distance/Island Width 2 = 0.207
Distance = 1,076.25 meters
Time Frame = 0.042 seconds (24 FPS, 1 Frame; here and here)
Avatar State Kyoshi's Earthbending Speed = 25,625 m/s or mach 75.303
Now for the meat of the feat.
Panel Width = 1440 pixels
Island Width 1 (Start) = 862 pixels
Island Width 1 (End) = 477 pixels
Island Elevation = 39 pixels
Mountain Elevation = 91 pixels
Island Elevation/Island Width 1 (Start) = 0.045
Mountain Elevation/Island Width 1 (Start) = 0.106
Island Elevation = 489.217 meters
Average Ocean Depth = 3,682 meters (here, because the island would kind of just sink beneath the waves if Kyoshi wasn't being considerate of moving the depth of the rock with the rest of the island)
Thus?
Total Island Height = 4,171.217 meters
Volume 1 = Total Island Surface Area * Total Island Height = 313,653,048,358.52 m^3
Mountain Elevation = 1,152.378 meters
Treating the Topography like a cone to try and be conservative as possible given hell if I have enough info to find a fully on point above ocean mass.
Volume 2 = ((Total Island Surface Area)*H)/3 = 28,884,205,941.279 m^3
Thus?
Total Island Volume = Volume 1 + Volume 2 = 342,537,254,299.799 m^3
Rock Density = 2,700 m^3
Total Island Mass = 924,850,586,609,457.3 kilograms
Now angular size for the distance traveled from start to end point.
2*atan(Object_Size/(Panel_Width/tan(FoV/2))) = object degree size
2*atan(862/(1440/tan(70/2)))
2*atan(477/(1440/tan(70/2)))
Island Width 1 (Start) = 45.482 degrees
Island Width 1 (End) = 26.117 degrees
Calculator
Island Distance (Start) = 12,968 meters
Island Distance (End) = 23,346 meters
Distance = Island Distance (End) - Island Distance (Start) = 10,378 meters
Time Frame = 1.958 seconds (47 Frames, 24 FPS; here and here)
Island Speed = 5,300.306 m/s
KE = 0.5mv^2
m = Total Island Mass
v = Island Speed
Avatar State Kyoshi's Bending Yield = 12,991,026,454,910,850,000,000 joules or 3.105 teratons
Probably could do something with her Avatar State Airbending Speed, but I honestly can't tell if its new air or its just rushing that far into the distance that ridiculously fast. The shifting occurs every 2 frames or so, so the speed would be pretty ridiculous.
^The Feat
Azula = 43 pixels
Rock Height = 278 pixels
Rock Thickness= 50 pixels
Rock Height/Azula = 6.465
Rock Thickness/Azula = 1.163
Azula = 1.52 meters (here)
Rock Height = 9.827 meters
Rock Thickness = 1.768 meters
Rock Height = 646 pixels
Hole Height = 607 pixels
Hole Diameter = 783 pixels
Hole Height/Rock Height = 0.94
Hole Diameter/Rock Height = 1.212
Hole Height = 9.237 meters
Hole Diameter = 11.91 meters
Volume = (PIr1r2*H)/2
r1 = Hole Height
r2 = Hole Diameter/2
H = Rock Thickness
Hole Volume = 152.684 m^3
200 j/cc
Azula's Lightningbending Yield = 30,536,800,000 joules or 7.298 tons
Final Tally
Episode 1
Avatar State Szeto's Lavabending Speed (Low End) = 4,411.145 m/s
Avatar State Szeto's Lavabending Speed (Middle End) = 14,115.663 m/s
Avatar State Szeto's Total Lavabending Yield (Low End) = 242.23 megatons
Avatar State Szeto's Total Lavabending Yield (Middle End) = 81.279 gigatons
Azula's Lightningbending Yield = 2.057 tons
Episode 5
Avatar State Kyoshi's Earthbending Speed = 25,625 m/s
Avatar State Kyoshi's Bending Yield = 3.105 teratons
Episode 8
Azula's Lightningbending Yield = 7.298 tons
