Question

A wheel is observed to rotate 5 complete revolutions in 25 seconds. What is its angular speed

Answer 1

Answer

1.26 rad/s

the first step is to find the frequency of the wheel.

The wheel rotates at rate of 5 revolutions in 25 seconds. The frequency is the number of revolutions per second.

frequency (f) = 5/25

                      = 1/5

                      = 0.2 Hz

Angular velocity = 2πf

                           = 2×π×0.2

                            = 0.4π rad/s      or

                             = 1.26 rad/s