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Mistborn - Vin spins the planet
Vin with the power of Preservation spins the planet around in an incredibly short timeframe, and the Sun is noted to drop below the horizon in less than a second. Using this formula for help.
Using the values of the Earth for this. The circumference of the Earth is 40075km, and half of that is 20037.5km, or 50% of the circumference of the planet. This calculator gives us a result of 3.1415926535898 radians from that percentage. The mass of the Earth is 5.97219e24kg and its surface area is 5.1 X 10^8 km^2 (or 5.1e14m^2).
E = 1/2Iw^2
= 1/2 (5.97219e24 X 5.1e14) X 3.1415926535898^2
= 1.50305039e40 joules
= 3.5923766491395793855 tenatons
That's energy. What about speed? Timeframe is less than a second, but we'll go with a second.
T = 20037.5km/1s
= Mach 58883.5993
Vin rotates the planet (energy) = 3.592 tenatons
Vin rotates the planet (speed) = Mach 58883.599
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