Question

An artificial satellite takes 90 minutes to complete its revolution around the earth. Angular speed of the satellite will be what?

Answer 1

Given,

The time period of the satellite is,

T =90 min = (90 × 60) sec = 5400 sec

We know,

Angular speed, ω = $\frac{2\pi }{T}$

Putting all the values

Angular speed = $\frac{2\pi }{5400}=\frac{\pi }{2700}$ rad/s

Hence the angular speed of the satellite is $\frac{\pi }{2700}$ rad/sec