University Physics with Modern Physics (14th Edition)

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

Chapter 15 - Mechanical Waves - Problems - Exercises - Page 498: 15.19

Answer

(a) The tension should be 9.53 N (b) $v = 20.8~m/s$

Work Step by Step

(a) We can find the required tension. $\sqrt{\frac{F_T}{\mu}} = \lambda~f$ $F_T = (\lambda~f)^2~\mu$ $F_T = (\lambda~f)^2~(\frac{m}{L})$ $F_T = (0.0333~m)^2(625~Hz)^2~(\frac{0.0165~kg}{0.750~m})$ $F_T = 9.53~N$ The tension should be 9.53 N (b) We can find the speed of the wave. $v = \lambda~f$ $v = (0.0333~m)(625~Hz)$ $v = 20.8~m/s$
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