Essential University Physics: Volume 1 (3rd Edition)

Published by Pearson
ISBN 10: 0321993721
ISBN 13: 978-0-32199-372-4

Chapter 14 - Exercises and Problems: 46

Answer

$y = 1.5cos(.785x\pm.628 t)$

Work Step by Step

We know the following equation: $y = Acos(kx\pm\omega t)$ We need to find all of the missing variables. A: We see that the the mins and maxes are at 1.5, so this is the value of A. k: We find: $k =\frac{2\pi}{8}=.785$ $\omega$: We see that a whole wave is completed in 10 seconds, so this is the period. This means: $\omega= \frac{2\pi}{10}=.628$ Thus, we find: $y = 1.5cos(.785x\pm.628 t)$
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