Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 17, Problem 8P
To determine

To verify: The wave function for a standing wave given in the equation is a solution of the general linear wave equation.

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.  Consider the wave function y (x,t)=(3.00cm)sin(0.4m^-1x+2.00s^-1t+π/10) What are the period, wavelength, speed, and initial phase shift of the wave modeled by the wave function?
A standing wave on a stretched string with a tension force F_T and of length L = 2 m has the following equation: y(x,t) = 0.1 sin⁡(2πx) cos⁡(100πt). How many loops would appear on the string if the velocity is reduced by a factor of 2 while the frequency is held constant?
If a wave that is traveling is described by y(x,t) = (0.00327 m) sin (72.1 x +2.27 t), where the standard SI units are used (72.1 rad/m and 2.72 rad/s), then what is the transverse velocity of the string element at x = 25.2 cm and t = 19.8 s?

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Physics for Scientists and Engineers with Modern Physics

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