Find the ratio of the rotational inertia of the Earth for rotation about its own

Question

Find the ratio of the rotational inertia of the Earth for rotation about its own axis to its rotational inertia for rotation about the Sun. (Give your answer in terms of RE, the radius of the Earth, and Ro, the radius of Earth's orbit about the sun. Use any variable or symbol stated above as necessary.

Find the ratio of the rotational inertia of the Earth for rotation about its own axis to its rotational inertia for rotation about the Sun. (Give your answer in terms of RE, the radius of the Earth, and Ro, the radius of Earth's orbit about the sun. Use any variable or symbol stated above as necessary. Iaxis/Isun=

Explanation / Answer

About its axis, the earth is a sloid sphere rotating about its center:

Iaxis = (2/5) M Re^2

It is treated as a point particle moving around the sun,

Isun = M Ro^2

Thus,

Iaxis / Isun = [2 Re^2] / [5 Ro^2]

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