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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ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter16: Waves
Section: Chapter Questions
Problem 104P: Consider the experimental setup shown below. The length of the string between the string vibrator...
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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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