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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

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

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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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