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College Physics (Urone)
Found in: Page 221

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Short Answer

Microwave ovens rotate at a rate of about 6 rev/min. What is this in revolutions per second? What is the angular velocity in radians per second?

It is 0.1 revolutions per second (rps).

The angular velocity is 0.628 rad/s.

See the step by step solution

Step by Step Solution

Step 1: Definition of angular velocity

Angular velocity or rotational velocity, also known as angular frequency vector, is a pseudo vector representation of how rapidly the angular position or orientation of an item varies with time.

Step 2: Calculation of the angular velocity

N=6 revolutions per minute(rpm).

We know that 1min=60sec .

So, the required revolution per minute (rps) can be calculated as follows:


Therefore, the number of revolutions per second is 0.1 (rps).

The angular velocity can be calculated as:

=2π×0.1=0.628 rad/s

Therefore, the angular velocity is 0.628 rad/s.

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