(c) A stretched string, fixed at both ends by supports which are 0.4 m apart, vibrates with a fundamental frequency of 330 Hz. The amplitude at the antinode is 10 mm. (i) Find the frequencies corresponding to the 1st, 2nd and 3rd overtones. (ii) What length of "closed" organ pipe will produce the same fundamental frequency of the guitar as its second overtone? Take the speed of sound in air to be 340 m/s.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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D = 2 sin(4x - 6лt +), where x is in metres and t in seconds.
Plot D as a function of x for t = 2 seconds.
the
(c) A stretched string, fixed at both ends by supports which are 0.4 m apart, vibrates with a
fundamental frequency of 330 Hz. The amplitude at the antinode is 10 mm.
(i) Find the frequencies corresponding to the 1st, 2nd and 3rd overtones.
(ii) What length of "closed" organ pipe will produce the same fundamental frequency of the
guitar as its second overtone? Take the speed of sound in air to be 340 m/s.
Transcribed Image Text:D = 2 sin(4x - 6лt +), where x is in metres and t in seconds. Plot D as a function of x for t = 2 seconds. the (c) A stretched string, fixed at both ends by supports which are 0.4 m apart, vibrates with a fundamental frequency of 330 Hz. The amplitude at the antinode is 10 mm. (i) Find the frequencies corresponding to the 1st, 2nd and 3rd overtones. (ii) What length of "closed" organ pipe will produce the same fundamental frequency of the guitar as its second overtone? Take the speed of sound in air to be 340 m/s.
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