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# Problem: The Moon orbits around the Earth and also spin on its axis.A. What is the angular momentum of the Moon in its orbit around Earth?B. What is the angular momentum of the Moon in its rotation around its axis?C. How many times larger is the orbital angular momentum than the rotational angular momentum for the Moon?

###### FREE Expert Solution

The angular velocity of the moon:

$\overline{){\mathbf{\omega }}{\mathbf{=}}\frac{\mathbf{2}\mathbf{\pi }}{\mathbf{T}}}$

Angular momentum:

$\overline{){\mathbf{L}}{\mathbf{=}}{\mathbf{I}}{\mathbf{\omega }}}$

The moon orbits around the earth in 27.3 days.

This means that, T = 27.3 days = (27.3)(24)(3600) = 2358720 s

The angular velocity of the moon:

ω = 2π/2358720 = 2.664 × 10-6 rad/s

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###### Problem Details

The Moon orbits around the Earth and also spin on its axis.

A. What is the angular momentum of the Moon in its orbit around Earth?

B. What is the angular momentum of the Moon in its rotation around its axis?

C. How many times larger is the orbital angular momentum than the rotational angular momentum for the Moon?

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Angular Momentum of a Point Mass concept. You can view video lessons to learn Angular Momentum of a Point Mass. Or if you need more Angular Momentum of a Point Mass practice, you can also practice Angular Momentum of a Point Mass practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Miller's class at WVU.