Explanation Here, the wheel is rotating with a constant angular acceleration . For option (a): Write the value of tangential acceleration when ω = − 2 rad/s . | a t | = r α Substitute 3 rad/s 2 for α in the above equation | a t | = ( 3 rad/s 2 ) r For option (b): Write the value of radial acceleration when ω = − 2 rad/s . | a r | = ω 2 r = ( − 2 rad/s ) 2 r = ( 4 rad/s 2 ) r For option (c): Write the value of tangential acceleration when ω = 0

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN: 9781133104261

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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Principles of Physics: A Calculus-Based Text

Ch. 10.1 - A rigid object is rotating in a counterclockwise...Ch. 10.2 - Consider again the pairs of angular positions for...Ch. 10.3 - Ethan and Joseph are riding on a merry-go-round....Ch. 10.4 - Prob. 10.4QQ Ch. 10.5 - (i) If you are trying to loosen a stubborn screw...Ch. 10.7 - Prob. 10.6QQ Ch. 10.9 - A solid sphere and a hollow sphere have the same...Ch. 10.10 - A competitive diver leaves the diving board and...Ch. 10.12 - Two items A and B are placed at the top of an...Ch. 10 - A cyclist rides a bicycle with a wheel radius of...

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Solution Summary: The author explains how to rank items from largest to smallest. The wheel is rotating with a constant angular acceleration.

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