University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 9 - Rotation of Rigid Bodies - Problems - Discussion Questions - Page 293: Q9.3

Answer

For a point on a rotating body, the radial acceleration is the acceleration that is directed toward the axis of rotation. For example, if the rotating body is a circle rotating around the center of the circle, then the radial acceleration is the acceleration directed toward the center of a circle. The tangential acceleration is the acceleration in the direction of motion. If the tangential acceleration is non-zero, then the point must be either speeding up or slowing down. Note that the radial acceleration and the tangential acceleration are directed at 90-degree angles to each other.

Work Step by Step

For a point on a rotating body, the radial acceleration is the acceleration that is directed toward the axis of rotation. For example, if the rotating body is a circle rotating around the center of the circle, then the radial acceleration is the acceleration directed toward the center of a circle. The tangential acceleration is the acceleration in the direction of motion. If the tangential acceleration is non-zero, then the point must be either speeding up or slowing down. Note that the radial acceleration and the tangential acceleration are directed at 90-degree angles to each other.
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