The wave function y(x,t) for a certain standing wave on a string fixed at both ends is given by y(x,t) = 4.2 sin 0.20x cos 300t, where y and x are in centimetres and t is in seconds. (a) What are the wavelength and frequency of this wave? (b) What is the speed of transverse waves on this string? (c) If the string is vibrating in its fourth harmonic, how long is it?

University Physics Volume 1
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Chapter16: Waves
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Problem 95P: Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes...
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The wave function y(x,t) for a certain standing wave on a string fixed at both ends is given by
y(x,t) = 4.2 sin 0.20x cos 300t,
where y and x are in centimetres and t is in seconds.
(a) What are the wavelength and frequency of this wave?
(b) What is the speed of transverse waves on this string?
(c) If the string is vibrating in its fourth harmonic, how long is it?
Transcribed Image Text:The wave function y(x,t) for a certain standing wave on a string fixed at both ends is given by y(x,t) = 4.2 sin 0.20x cos 300t, where y and x are in centimetres and t is in seconds. (a) What are the wavelength and frequency of this wave? (b) What is the speed of transverse waves on this string? (c) If the string is vibrating in its fourth harmonic, how long is it?
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