Answered: w (rad/s) 500 400 300 200 100 0 0 1 2 3…

An Introduction to Physical Science

14th Edition

ISBN:9781305079137

Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Chapter1: Measurement

Section: Chapter Questions

Problem 11E

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Question

The angular velocity of an object as it rotates about a fixed axis is represented by the straight line on the graph of angular velocity versus time that is shown here.

1. In radians per squared second, what is the angular acceleration? α(in rad/s^2)=

2. What is the angular displacement, in radians, between t=0.0st=0.0s and t=8.6st=8.6s? Δθ(in rad)=

w (rad/s)
500
400
300
200
100
0
0 1 2
3
4
5
9
78
t(s)
9
10

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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