The figure shows a graph of the angular velocity of a rotating wheel as a function of time. Although not shown in the graph, the angular velocity continues to increase at the same rate until t = 8.3 s. What is the angular displacement of the wheel from 0 to 8.3 s? +6.0 Angular velocity (rad/s) +3.0- 0 -3.0- -6.0 -9.0k 1.0 3.0 Time (s) 5.0

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
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The figure shows a graph of the angular velocity of a rotating wheel as a function of time. Although not shown in the graph, the angular
velocity continues to increase at the same rate until t = 8.3 s. What is the angular displacement of the wheel from 0 to 8.3 s?
+6.0
Angular velocity (rad/s)
+3.0
0
-3.0-
-6.0
-9.0k
1.0
3.0
Time (s)
5.0
Transcribed Image Text:The figure shows a graph of the angular velocity of a rotating wheel as a function of time. Although not shown in the graph, the angular velocity continues to increase at the same rate until t = 8.3 s. What is the angular displacement of the wheel from 0 to 8.3 s? +6.0 Angular velocity (rad/s) +3.0 0 -3.0- -6.0 -9.0k 1.0 3.0 Time (s) 5.0
Expert Solution
Introduction

Given

at t = 0s

initial angular velocity ωo = -9 rad/s

at t = 8.3s 

angular displacement θ=?

from graph angular acceleration is given by

α = change in angular velocitychange in time

α = 0-(-9)3-0

α = 3 rad/s2

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