A hamster running in a wheel of radius 12 cm spins the wheel at 42 revolutions per minute

Question

What is the angular velocity of the wheel in radians/sec? 

At what linear velocity is the hamster running in cm/sec?

Answer 1

First convert revolution/min to revolution/sec Since there are 60 sec/min you have 42/60= 0.7rev/sec

1 rev = 2piradians so angular velocity is 2piradians x 0.7= 1.4piradians/sec

linear velocity = angular velocity x radius= 1.4pi x12= 16.8pi cm/sec