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

Answer 1

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.