Answered: A coin rests 15.0 cm from the center of…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 10P: A wheel 2.00 m in diameter lies in a vertical plane and rotates about its central axis with a...

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Question

A coin rests 15.0 cm from the center of a turntable. The
coefficient of static friction between the coin and turntable
surface is 0.350. The turntable starts from rest at t = 0 and
rotates with a constant angular acceleration of 0.730 rad/s².

(a) Once the turntable starts to rotate, what force causes the
centripetal acceleration when the coin is stationary relative
to the turntable? Under what condition
does the coin begin to move relative
to the turntable?

(b) After what
period of time will the coin start to
slip on the turntable?

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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