If the earth is treated as a sphere of radius R and mass M.... | PHYSICS - TORQUE AND ANGULAR MOMENTUM | SolveeIt | Solveeit

Today, August 19

Question

If the earth is treated as a sphere of radius R and mass M. Its angular momentum about the axis of rotation with period T is:

A

$\frac{\pi MR^{萀}}{T}$

B

$\frac{MR^{2}\pi}{T}$

C

$\frac{2\pi MR^{言}}{5T}$

D

$\frac{4\pi MR^{萀}}{5T}$

Answer

$\frac{4\pi MR^{萀}}{5T}$

Explanation

Solution

Angular momentum of earth about its axis of rotation

$L = I\omega = \frac{2}{5}MR^{2} \times \frac{2\pi}{T} = \frac{4\pi MR^{2}}{5T}$