Answered: cle crank arm, with a pedal at one end,…

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter7: Rotational Motion And The Law Of Gravity

Section: Chapter Questions

Problem 4WUE: A carnival carousel accelerates nonuniformly from rest, moving through an angle of 8.60 rad in 6.00...

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Question

An 18-cmcm-long bicycle crank arm, with a pedal at one end, is attached to a 21-cmcm-diameter sprocket, the toothed disk around which the chain moves. A cyclist riding this bike increases her pedaling rate from 62 rpmrpm to 94 rpmrpm in 12 ss. Assume constant angular acceleration.

A) What is the tangential acceleration of the pedal?

B) What length of chain passes over the top of the sprocket during this interval?

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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