5th Edition

ISBN: 8220103026918

Author: Walker

Publisher: PEARSON

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Moment of a Force

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Textbook Question

Chapter 10, Problem 22PCE

The World’s Fastest Turbine The drill used by most dentists today is powered by a small air turbine that can operate at angular speeds of 350,000 rpm. These drills, along with ultrasonic dental drills, are the fastest turbines in the world—far exceeding the angular speeds of jet engines. Suppose a drill starts at rest and comes up to operating speed in 2.1 s. (a) Find the angular acceleration produced by the drill, assuming it to be constant (b) How many revolutions does the drill bit make as it comes up to speed?

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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Chapter 10, Problem 21PCE

Chapter 10, Problem 23PCE

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