Question

Question An old vinyl record is played on a turntable that turns at a rate of 45 rotations per minute. Find the angular speed in radians per second. Give your answer as a fraction and do not include units. Keep your answer in terms of if necessary.​

Answer 1

The angular speed of the turntable is = 4.7 rad/sec.

Calculation of angular speed

Angular speed can be defined as the rate at which angular displacement changes with respect to time.

Speed can be defined as the distance traveled by an object at a particular time interval.

The rate of rotation of the turntable = 45 rotations per minute.

That is, the time taken to complete one rotation in seconds = 1/45 ×60sec = 1.34secs

This is taken to be the period of rotation (T)

Therefore, the angular speed is calculated using the formula, 2π/T

= 2×3.14/1.34 = 4.7 rad/sec.

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