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Question

A phonograph turn table rotates at 50 rev/min. Its angular speed in rad/sec is


A

8.164rad.sec-1

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B

5.23rad.sec-1

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C

52.3rad.sec-1

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D

81.64rad.sec-1

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Solution

The correct option is B

5.23rad.sec-1


Angular speed

Angular speed is defined as the rate of change of angular displacement, and it is expressed as follows:

ω=θt

Here, θ is the angular displacement, t is time and ω is the angular speed.

Find the angular speed of phonograph

It is given that, a phonograph turn table rotates at 50rev/min.

We have to find the angular speed of the phonograph in rad/s.

As we know that, 1revolution means 2πor6.28 radian and 1 minute is equal to 60 seconds.

Therefore,

50rev/min=50×6.2860

=5.24rad/s

So, the angular speed of the phonograph turn table is approximate 5.23rad/sec.

Hence, option B is correct answer .


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