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 - Page 262: 23


a) 12.8 rads/s b) .336 1/cm c) 2.34cos(.336x+12.8t)

Work Step by Step

a) We find: $\omega = \frac{2\pi}{T}=\frac{2\pi}{\frac{18.7}{38}}=12.8 \ rads/s $ b) We use the equation for wave number to find: $k=\frac{2\pi}{\lambda}=\frac{2\pi}{18}=.336$ c) Combining these values and the amplitude of the wave, which is 2.34, we find: $x(t)=2.34cos(.336x+12.8t) $
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