Book edition 1st Edition

Author(s) Paul Peter Urone

Pages 1272 pages

ISBN 9781938168000

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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 $0.628 rad/s$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

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 $1 \min = 60 \sec$ .

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:

$\begin{array}{l} = 2 π \times 0.1 \\ = 0.628 rad/s \end{array}$

Therefore, the angular velocity is $0.628 rad/s$ .

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College Physics (Urone)

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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?

Step by Step Solution

Step 1: Definition of angular velocity

Step 2: Calculation of the angular velocity

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College Physics (Urone)

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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?

Step by Step Solution

Step 1: Definition of angular velocity

Step 2: Calculation of the angular velocity

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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?