Circular Motion #6

Classical Mechanics Level 1

An object performing uniform circular motion completes 10 revolutions in 20 seconds. What is the angular speed of the object (in rad/s) ?

This problem is part of the set - Circular Motion Practice

1 2 \frac{ 1} {2 } π \pi 1 2 π \frac{1 } {2} \pi 2 π 2 \pi

Pranshu Gaba by Pranshu Gaba , 22, India

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2 solutions

Pranshu Gaba
Nov 5, 2015

Since the object is performing uniform circular motion, it is moving with constant angular speed. Thus if the particle completes 10 revolutions in 20 seconds, then it completes 10 20 \frac{ 10 } {20 } revolutions in one second.

Since one complete revolution is 2 π 2 \pi radians, the angular speed of the particle is 10 20 × 2 π = π \frac{ 10 } {20} \times 2 \pi = \boxed{ \pi } rad/s □ _\square

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Krishna Karthik
Nov 15, 2018

the rate 10 revolutions per 20 seconds can be simplified down to 1/2 revolutions per second, which we know as pi revolutions per second. So that's your angular speed.

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