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Angular Momentum of the Earth

denverbroncos

Entry posted by denverbroncos

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What is the Earth's angular momentum? Since L = Iw, we need to know the Earth's moment of inertia and angular momentum. For moment of inertia I will assume Earth is a solid sphere with I = (2/5)MR^2 or (2/5)(6x10^24)(6.3x10^6)^2. This comes out to I = roughly 9.53x10^37. w = (2 pi)/T, and the earth's period is 86400 seconds, so the earths angular velocity is 7.27x10^-5. So, L = Iw = (9.53x10^37)(7.27x10^-5) = 6.93x10^33 (kg*m^2)/s

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