Answered: Colin from Banks Bikes wants to test…

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter10: Fixed-axis Rotation

Section: Chapter Questions

Problem 36P: The angular position of a rod varies as 20.0t2radians from time t=0 . The rod has two beads on it as...

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Colin from Banks Bikes wants to test the effectiveness of a set of hydraulic brakes on a new Scott electric gravel bike for Drew, one of his favorite customers. Colin clamps the bike into the repair stand and rotates the pedals to start the rear wheel spinning from rest to its final angular velocity of 230 rpm in 5.3 seconds.

a) Calculate the angular acceleration of the rear wheel in rad/s²?

b) If Colin now slams on the bike's brakes, causing an angular deceleration of -88 rad/s², how long does it take in seconds for the back wheel to stop spinning?

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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