A phonograph turn table rotates at 50 rev/ min . Its angular speed in rad/sec is ? a) 8.164 rad.sec-1 b) 5.23 rad.sec-1 c) 52.3 rad.sec-1 d) 81.64 rad.sec-1

Given that

A phonograph turntable rotates at 50 rev/ min.

We need to find the angular speed of the phonograph in rad/s.
We know the following conversions :
1 revolution = 6.28 radian

1 minute = 60 seconds

Therefore

50 X rev/min

= 50 X 6.28rad/60s

= 5.28rad/s

The angular speed of the phonograph is 5.28rad/s.

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