Answered: The blades of a food processor (juice…

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 12PQ

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Question

The blades of a food processor (juice maker) has an angular acceleration of -3 rad/s². Which one of the following statements is correct concerning this situation? (Assume counterclockwise rotation is positive.)

a)The angular velocity must be decreasing as time passes

b)The direction of the angular velocity must be clockwise

c)The direction of the angular acceleration is counterclockwise

d)If the angular velocity is clockwise, then its magnitude must increase as time passes.

e)If the angular velocity is counterclockwise, then its magnitude must increase as time passes

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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