Physics help please?

Question

An old-fashioned vinyl record rotates on a turntable at 48 rpm. 
(a) Find the angular velocity of the motion in rad/s. 
(b) Find the period of the motion.

Answer 1

(a)

Old - fashion vinyl record speed = 48 rpm

The angular velocity = (48 * 2π)/60

The angular velocity = 5.02 rad/sec.

Therefore angular Velocity is 5.02 rad/sec.

Answer 2

(b)

The period of the motion is the time taken in one revolution

The  speed of the vinyl record = 48 rpm.

Number of revolutions in one second = 48/60

Number of revolutions in one second = 0.8

Then 0.8 revoutions in one second

So period = 1/0.8 = 0.1989 sec.

Therefore period of the motion is 0.1989 sec.