Conceptual Physics (12th Edition)
Conceptual Physics (12th Edition)
12th Edition
ISBN: 9780321909107
Author: Paul G. Hewitt
Publisher: PEARSON
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Chapter 8, Problem 1RCQ

What are the units of measurement for tangential speed? For rotational speed?

Expert Solution & Answer
Check Mark
To determine

Units to measure tangential speed and rotational speed.

Answer to Problem 1RCQ

Solution:

Tangential speed is measure in meter per second, rotational speed is measured in radian per second.

Explanation of Solution

Tangential speed: Tangential speed is defined as the linear distance travelled by an object moving in a circular path per unit time.

Consider the object moving in a circular object.

Conceptual Physics (12th Edition), Chapter 8, Problem 1RCQ

Figure.1

The linear distance travel by an object in time Δt is; therefore, the tangential speed is given as:

vtangential=Δs(m)Δt(sec)

Unit to measure tangential speed is m/sec .

Rotational speed: Rotational speed is defined as the angle turned by an object in a particular time.

In the given figure, angle turned by the object in time Δt is Δθωrotaional=Δθ(rad)Δt(sec)

; therefore, the rotational speed is given as

Therefore, unit to measure rotational speed is rad/sec .

Conclusion:

Tangential speed is measure in meter per second, and rotational speed is measured in radian per second.

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02:55

Chapter 8 Solutions

Conceptual Physics (12th Edition)

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