(a) Calculate the rotational kinetic energy of Earth on its axis. (b) What is the rotational kinetic energy of Earth in its orbit around the Sun?

Step-by-step solution Step 1 of 4 The rotational kinetic energy of the Earth is calculated as, Here is the moment of inertia of the Earth and is the angular velocity of the Earth, Step 2 of 4 (a) The moment of inertia of the Earth is calculated same as a solid sphere, Here is the mass of the Earth, is the radius of the Earth. Substitute, As, the earth revolves radians every 24 hours, so, the angular velocity of the Earth is calculated as, The rotational kinetic energy of the Earth is, Substitute, for and for . So, the rotational kinetic energy of the Earth is .