Question

An automobile moves with a constant speed of 120 km/hr around a track of 50 m diameter.

What is the angular velocity and the period of motion? (

Answer 1

$120\ km/h=33.33\ m/s$

$v=\omega\cdot r\to \omega = v/r=33.33/25=1.33\ (rad/s)$

$T=2\pi r/v=2\cdot3.14\cdot25/33.33=4.7\ (s)$