Answered: The balance wheel of a watch oscillates…

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter8: Central-force Motion

Section: Chapter Questions

Problem 8.45P

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The balance wheel of a watch oscillates with angular amplitude 0.91π rad and period 0.54 s. Find (a) the angular speed of the wheel at displacement 0.91π/2 rad and (b) the magnitude of the angular acceleration at displacement 0.91π/4 rad.

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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