9th Edition

ISBN: 9780100460300

Author: SERWAY

Publisher: YUZU

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Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth w…

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Textbook Question

Chapter 10, Problem 10.70AP

A shaft is turning at angular speed ω at time t = 0. Thereafter, its angular acceleration is given by

α = A = B t

(a) Find the angular speed of the shaft at time t. (b) Through what angle does it turn between t = 0 and t?

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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Chapter 10, Problem 10.69AP

Chapter 10, Problem 10.71AP

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A shaft is turning at angular speed ω at time t = 0. Thereafter, its angular acceleration is given by α = A = B t (a) Find the angular speed of the shaft at time t . (b) Through what angle does it turn between t = 0 and t ?

Solution Summary: The author explains the angular speed of the shaft at time t, and its acceleration.

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