Question

The Earth has mass ME and average radius RE. The Moon has mass MM and the average distance from the center of mass of the moon to the center of mass of the Earth is DM. For this problem use the following constants.
Mass of the Earth: 5.97E24 kgMass of the Moon: 7.35E22 kgRadius of the Earth: 6,371 km
Find an expression for the moment of inertia IEof the Earth on its axis in terms of the given parameters.

Answer 1

Answer:

Moment of inertia of Earth about its own axis is given as

$I = 9.7 \times 10^{37} kg m^2$

Explanation:

Since Earth is considered as solid sphere

So we will have

$I = \frac{2}{5}M_eR_e^2$

so we will have

$I = \frac{2}{5}(5.97 \times 10^{24})(6.371 \times 10^6)^2$

so we have

$I = 9.7 \times 10^{37} kg m^2$