Angular Momentum of a Point Mass Video Lessons

Concept

Problem: Calculate the magnitude of the angular momentum of the earth in a circular orbit around the sun. b)Calculate the magnitude of the angular momentum of the earth due to its rotation around an axis through the north and south poles, modeling it as a uniform sphere.

FREE Expert Solution

Angular momentum:

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

Angular speed, ω = v/r

Therefore:

$\overline{){\mathbf{L}}{\mathbf{=}}{\mathbf{I}}\frac{\mathbf{v}}{\mathbf{r}}}$

a)

Mass of the earth, M = 5.97 × 1024kg, radious of the circular orbit, r = 1.50 × 1011m, speed of the earth around the sun is 2.98 × 104 m/s.

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Problem Details

Calculate the magnitude of the angular momentum of the earth in a circular orbit around the sun. b)Calculate the magnitude of the angular momentum of the earth due to its rotation around an axis through the north and south poles, modeling it as a uniform sphere.