Question

A rotating pulley completes 12 rev in 4 secs determine the average angular velocity in rev /s, rpm and in rad/s​

Answer 1

12 rev per 4 seconds
3 rev per second
180 rev per minute
18.8 rad per second

Answer 2

Answer: The average angular velocity  for a rotating pulley is 3 rev/s, 180 rpm, 6π rad/s.

The pulley turns rotating when the rope tugged and completes 12 rev in 4 seconds.

How to determine the average angular velocity?

 If we consider a pulley rotating in a same axis, every point in the pulley has the same angular velocity.

Formula for angular velocity:

                    ω = Δθ / Δt

The average angular velocity can be defined as the ratio of the angular displacement to the time.

                                θ = 12 rev, t = 4s

             1 revolution = 2π rad

It can be solved as:

      Revolutions / second: 

      rev / s = 12 / 4      

                  =  3

      Revolutions per minute:

        rpm   =  ( 12/4) × 60

                  =   180

      Radian / second :

        rad/s  =   (12×2π / 4 )

                   =  6π

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