Answered: An optical disc drive in your computer…

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter10: Rotational Motion And Angular Momentum

Section: Chapter Questions

Problem 2PE: Integrated Concepts An ultracentrifuge accelerates from rest to 100,000 rpm in 2.00 min. (a) What is...

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Question

An optical disc drive in your computer is spinning at 10,000 rpm (1045 rad/s). It decelerates to rest in 0.35 s.

a) Find the angular acceleration.

b) If the disk is 0.115 in diameter, what is the magnitude of the tangential acceleration at a point 1/2 of the way out from the center?

c) Find the rotational inertia of the disk given that its mass is 15 grams.

d) Find the magnitude of the torque required to decelerate the disk.

Moments of Inertia: hoop: I=MR² disk: I=1/2MR² solid sphere: I=(2/5)MR² hollow sphere: I=(2/3)MR²

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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