Question

Calculate the kinetic energy of Earth due to its spinning about its axis, and compare your answer with the kinetic energy of the orbital motion of Earth's center of mass about the Sun. Assume Earth to be a homogeneous sphere of mass 6.0 x 10^24 kg and radius 6.4 x 10^6 m. The radius of Earth's orbit is 1.5 x 10^11 m. (Moment of inertia for a sphere I = 2/5 MR^2).