Question

A particle moves in a circle of radius 2 m and completes 5 revolutions in 10 seconds. Calculate its angular velocity and linear velocity. [3 MARKS]

Answer 1

Angular velocity : 1.5 Marks
Linear velocity : 1.5 Marks

Since, it completes 5 revolutions in 10 s, for 1 revolution it requires 2 s.
Time period = 2 s

$\left(i\right)Nowangularvelocity=\frac{2\pi }{T}=\frac{2\pi }{2}=\pi rad/s$

$\left(ii\right)Linearvelocityisgivenbyv=\frac{2\pi R}{T}=2\pi m/s$