Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 4 - Graphs of the Circular Functions - Section 4.5 Harmonic Motion - 4.5 Exercises - Page 185: 12a

Answer

4 inches

Work Step by Step

The maximum height that the weight rises above its equilibrium position is called the amplitude. It can be found by comparing the equation $s(t)=-4\cos 8\pi t$ to $s(t)=a\cos w t$ where $|a|$ is the amplitude. Comparing the two equations, we find that $a=-4$. Therefore, the maximum height that the weight rises above its equilibrium position (amplitude) is: $|a|=|-4|=4$ inches
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