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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