A 200 Kg satellite orbits a planet in a circular orbits with the tangential velo

Question

A 200 Kg satellite orbits a planet in a circular orbits with the tangential velocity of 25 m/s. If the satellite completes one orbit every 1.5* 10^4 sec. what is angular momentum of the satellite? A 200 Kg satellite orbits a planet in a circular orbits with the tangential velocity of 25 m/s. If the satellite completes one orbit every 1.5* 10^4 sec. what is angular momentum of the satellite? A 200 Kg satellite orbits a planet in a circular orbits with the tangential velocity of 25 m/s. If the satellite completes one orbit every 1.5* 10^4 sec. what is angular momentum of the satellite?

Explanation / Answer

formula for angular momentum L = m v r

where

m is mass

v is velocity

r is radius

here V = 2pi R/T

so R = VT/2pi

Radius R = 25 * 1.5 e 4/(2*3.14)

R = 5.97 e 4 m

so

L = 200 * 25 * 5.97 e 4

L = 2.985e+8 kgm^2/s

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