University Physics with Modern Physics (14th Edition)

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

Chapter 14 - Periodic Motion - Problems - Discussion Questions - Page 459: Q14.15

Answer

See explanation.

Work Step by Step

The frequency of a simple pendulum is $f=\frac{1}{2 \pi } \sqrt{\frac{g}{L}}$. The leg swinging to and fro can be modeled as a simple pendulum. A smaller length L increases the expected frequency of a dog’s strides. Also, a dog with shorter legs must swing them at a higher frequency to keep up with its owner.
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