Question

A planet rotates through one complete revolution every 22 hours. Since the axis of rotation is perpendicular to the equator, you can think of a person standing on the equator as standing on the edge of a disc that is rotating through one complete revolution every 22 hours. Find the angular velocity of a person standing on the equator.

Answer 1

Answer: ω=0.00454545… rad/s

Explanation:

`\\`Recall: Angular Velocity ω= 2π/T

`\\`T is the period and you must convert it to seconds

`\\`That is ,T = 22 x 3600 (60 seconds make 1 minute and 60 minutes make 1 hr)

`\\`T = 79,200

`\\`Therefore: ω = 2π / 79,200 , where π = 180

`\\`Substituting the value of T and π into the equation.
`\\`We have

`\\` ω = 2 x 180 / 79,200

`\\` ω=0.00454545… rad/s