General Physics, 2nd Edition
General Physics, 2nd Edition
2nd Edition
ISBN: 9780471522782
Author: Morton M. Sternheim
Publisher: WILEY
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Chapter 21, Problem 21E

(a)

To determine

The amplitude of the travelling wave.

(b)

To determine

The amplitude of the standing wave.

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A standing wave is the result of superposition of two harmonic waves given by the equations y1(x;t) =Asin(ωt - kx) and y2(x; t) = Asin(ωt + kx). The angular frequency is ω = 3π rad/s and the k = 2πrad/m is the wave number.(a) Give an expression for the amplitude of standing wave. b) calculate the frequency of the wave
A standing wave is the result of superposition of two harmonic waves given by the equations y1(x;t) =Asin(ωt - kx) and y2(x; t) = Asin(ωt + kx). The angular frequency is ω = 3π rad/s and the k = 2πrad/m is the wave number.(a) Give an expression for the amplitude of standing wave.
Problem 4:  A traveling wave along the x-axis is given by the following wave functionψ(x, t) = 3.6 cos(1.4x - 9.2t + 0.34),where x in meter, t in seconds, and ψ in meters. Read off the appropriate quantities for this wave function and find the following characteristics of this plane wave: Part (a)  The amplitude in meters. Part (b)  The frequency, in hertz. Part (c)  The wavelength in meters. Part (d)  The wave speed, in meters per second.  Part (e)  The phase constant in radians.

Chapter 21 Solutions

General Physics, 2nd Edition

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