Question

The angular velocity of a particle rotating in a circular orbit 100 times per minute is
(1) 1.66 rad/s
(2) 10.47 rad/s
(3) 10.47 deg/s (4) 60 deg/s
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Answer 1

Answer: 10.47 rad/s

Explanation: Please find the attached image for the explanation!

Answer 2

The angular velocity of the particle is 10.47 rad/s.

Given,

A particle is rotating in a circular orbit 100 times per minute.

To Find,

The angular velocity of the particle.

Solution,

First of all, we will find the angular displacement of the particle

θ = 2πn

where n is the number of turns = 100

So,

θ = 200π

Now, the formula of angular velocity is

ω = θ/t

Substituting the values in the formula

ω = 200π/60 { because 1 minute = 60 seconds }

ω = 200(3.14)/60

ω = 10.47 rad/s

Hence, the angular velocity of the particle is 10.47 rad/s.

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