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AP® Physics 1 & 2

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Earth/Moon Angular Momentum Comparison

APPH12-F6Q9IH

The Earth's radius is $3.66$ times greater than the Moon's radius. The Earth's mass is $81.22$ times larger than the Moon's mass. The Earth rotates once on its own axis every $24$ hours while the Moon rotates once on its own axis every $27.3$ days.

Considering motion along the rotation axis only, how does the angular momentum of the Earth compare to that of the Moon?

A

Earth's angular momentum is $29{,}700$ times greater than the Moon's angular momentum.

B

Earth's angular momentum is $8{,}115$ times greater than the Moon's angular momentum.

C

Earth's angular momentum is $1{,}088$ times greater than the Moon's angular momentum.

D

Earth's angular momentum is $40$ times greater than the Moon's angular momentum.