Posted by **devin** on Saturday, November 28, 2009 at 2:34pm.

estimate the rotational kinetic energy of earth, assuming it to be a solid sphere of uniform density

- physics -
**MathMate**, Saturday, November 28, 2009 at 5:24pm
The rotational kinetic energy of a spinning sphere is given by

K = (1/2)Iω²

where

K=kinetic energy due to rotation

I=moment of inertia about the rotation axis

ω = angular velocity

The moment of inertia of a sphere spinning about an axis passing through its centre, I is

I=(2/5)mr²

Where m=mass of the sphere,

and r=radius of sphere.

Calculate K.

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