Question

What is the angular velocity of a point that rotates through

radians in 24 second

What’s the answer?

Answer 1

Option A

Explanation:

Angular velocity of an object is defined by,

Angular velocity (w) =
`(\triangle \theta)/(\triangle t)`

Here, Δθ = Change in angle of rotation

Δt = Duration or time

In this question Δθ =
`(7\pi )/(2)` radians and Δt = 24 seconds

Therefore, angular velocity =
`((7\pi )/(2) )/(24)`

=
`(7\pi )/(48)` radians per second

Option A is the answer.