Question

A scooterist moves along a circular track of radius 0.2 km and completes one revolution in 2 minutes. Determine velocity of the scooterist.

Answer 1

Radius of circular track = 0.2 km = 200 m

time to complete one revolution = 2 minutes

so here we can say that velocity is defined as ratio of total distance traveled and total time of motion

Here in one revolution total distance moved will be equal to one circumference

`d = 2\pi R`

`d = 2 \pi * 200 = 400 \pi`

`t = 2 min = 120 s`

now speed is given by

`v = (400 \pi)/(120)`

`v = 10.5 m/s`

so velocity of scooter is 10.5 m/s