(a) If its initial angular velocity was +6.58 rad/s and it rotated an angular displacement of +13.6 revolutions before coming to rest, what was its angular acceleration? (Assume it is constant.) rad/s2 (b) How long did the wheel rotate? S

(a) If its initial angular velocity was +6.58 rad/s and it rotated an angular displacement of +13.6 revolutions before coming to rest, what was its angular acceleration? (Assume it is constant.) rad/s2 (b) How long did the wheel rotate? S

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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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

After fixing a flat tire on a bicycle you give the wheel a spin in the counterclockwise direction.
(a) If its initial angular velocity was +6.58 rad/s and it rotated an angular displacement of +13.6 revolutions before coming to rest, what was its angular
acceleration? (Assume it is constant.)
rad/s?
(b) How long did the wheel rotate?
S

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