Question

An old-fashioned single-play vinyl record rotates on a turntable at 34.0rpm .
What are the angular velocity in rad/s and the period of the motion?

Answer 1

(34 rev/min)x(2 pi rad/rev)x(1 min/60s)
= ? rad/s

P = 1/f, so the period P is 1/34 minute.
Multiply that by 60 s/min if you want it in seconds