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

Short Answer

Expert verified

It is 0.1 revolutions per second (rps).

The angular velocity is 0.628 rad/s.

Step by step solution

01

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.

02

Calculation of the angular velocity

N=6revolutions per minute(rpm).

We know that1min=60sec.

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

=660=0.1

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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