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Q6.1-2PE

Expert-verifiedFound in: Page 221

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 $0.628\text{\hspace{0.33em}rad/s}$.

**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.**

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

We know that $1\text{\hspace{0.33em}}\mathrm{min}=60\text{\hspace{0.33em}}\mathrm{sec}$.

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:

$\begin{array}{l}=2\pi \times 0.1\\ =0.628\text{\hspace{0.33em}rad/s}\end{array}$

Therefore, the angular velocity is $0.628\text{\hspace{0.33em}rad/s}$.

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