Answered: A car starts from rest and accelerates…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter12: Rotation I: Kinematics And Dynamics

Section: Chapter Questions

Problem 20PQ: A wheel starts from rest and in 12.65 s is rotating with an angular speed of 5.435 rad/s. a. Find...

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A car starts from rest and accelerates uniformly with no slipping between the tires and road. If one of the wheels has an angular acceleration of 3.0 rad/s^2 and it takes 8.4 seconds for the car to reach a speed of 9.0 m/s, what is the radius of the wheel?

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 .

Expert Solution

Step 1 Given that

The wheel has an angular acceleration

3rad/s²

Time taken to reach the speed of 9m/s is 8.4 s

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