Verse: Avatar
I'm doing a lot of Avatar calcs recently, but this is probably one of the last ones since we're going to use this to find a level for Book 1 characters.
The first and second feats will scale their initial levels, the third one is for the end of the season
The Feats[]
The Calc[]
1[]
I overlaid the picture of the initial blast and of Aang and Zuko clashing
- Aang = 244px = 1.37m, not standing fully straight so I will use 1.32m
- Initial blast height = 473px = 2.52008196721m
- Initial blast height = 111px = 2.52008196721m
- Initial blast 2 = 186px = 4.22284005m
- Initial blast 2 height = 134px = 4.22284005m
- Blast diameter = 381px = 12.006731784m
- Energy = 0.012006731784 = Y^(1/3)*0.28 = 0.000079 kilotons, or 0.079 tons of TNT. We divide it by 4, since we have to both halve it to account for the fact that only 50% of the energy is in the blast, and Zuko and Aang both get 50% of this.
The final result is 0.01975 tons of TNT (Small Building level)
2[]
- Zuko's arm = 29px = 0.704m
- Water jet diameter = 4.6124137931m
The average residential well is 100 to 500 feet deep, or about 300ft for an average value. That is 91.44 meters for the water depth.
- V = pi*r^2*h = 1527.85670047m^3
- M = 1527.85670047*1000 = 1527856.70047kg
Takes 2 seconds from when Aang is thrown in to when we see the water busting out, so 45.72m/s.
- KE = 0.5*1527856.70047*45.72^2 = 0.3816571431118547 tons of TNT (Building level)
Scales to Zuko's durability and Katara before Pakku's training.
3[]
- Random waterbender boy's head = 13px = 1.4452m / 7.5 = 0.19269333333m
- Base width = 349px = 5.17307487171m
- Waterbender boy's head = 33px = 0.1926933m
- Water height = 469px = 2.73858053636m
- Cone volume = pi*^2*h/3 = 19.1863194946m^3
- Mass of frozen ice = 19.1863194946 * 916.7 = 17588.0990807kg
Freezing point of water is 0 degrees Celsius, and the average global temperature is 16 degrees Celsius
- q1 = 17588.0990807*4186*16*4186*16 = 1177980524.03 joules
- Latent Heat of Fusion = 17588.0990807*334000j/KG = 5874425092.95 joules
Our total is 7052405616.98 joules, or 1.685565396 tons of TNT (Building level+)
This scales to End of Book 1 Zuko and Book 2 Aang's waterbending.