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Q6.1-2PE

Expert-verified
Found in: Page 221

### College Physics (Urone)

Book edition 1st Edition
Author(s) Paul Peter Urone
Pages 1272 pages
ISBN 9781938168000

# Microwave ovens rotate at a rate of about ${\mathbf{6}}{\mathbf{}}{\mathbf{rev}}{\mathbf{/}}{\mathbf{min}}$. 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 $0.628\text{ rad/s}$.

See the 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

$\mathrm{N}=6$ revolutions per minute(rpm).

We know that $1\text{ }\mathrm{min}=60\text{ }\mathrm{sec}$.

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

$\begin{array}{l}=\frac{6}{60}\\ =0.1\end{array}$

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

The angular velocity can be calculated as:

$\begin{array}{l}=2\pi ×0.1\\ =0.628\text{ rad/s}\end{array}$

Therefore, the angular velocity is $0.628\text{ rad/s}$.