pipe A, open at both ends and 1.20 m long, oscillates at its third harmonic. the tube is filled with air for which the speed of sound is 343 m/s. A pipe B closed at one end oscillates on its first overtone (the next harmonic after the fundamental). The frequency of B coincides with the frequency of A. a)find the length of pipe B b) How many displacement nodes are present in pipe B? c) Assume an x-axis along pipe B, with x = 0 at the closed end. In what position are the first two nodes located? d) Draw the normal mode in which pipe A and pipe B oscillate (draw only the mode indicated in the problem, do not draw all possible modes). e) What is the fundamental frequency of pipe A and pipe B?
pipe A, open at both ends and 1.20 m long, oscillates at its third harmonic. the tube is filled with air for which the speed of sound is 343 m/s. A pipe B closed at one end oscillates on its first overtone (the next harmonic after the fundamental). The frequency of B coincides with the frequency of A. a)find the length of pipe B b) How many displacement nodes are present in pipe B? c) Assume an x-axis along pipe B, with x = 0 at the closed end. In what position are the first two nodes located? d) Draw the normal mode in which pipe A and pipe B oscillate (draw only the mode indicated in the problem, do not draw all possible modes). e) What is the fundamental frequency of pipe A and pipe B?
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter17: Sound
Section: Chapter Questions
Problem 34P: The displacement of the air molecules in sound wave is modeled with the wave function...
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pipe A, open at both ends and 1.20 m long, oscillates at its third harmonic. the tube is filled with air for which the speed of sound is 343 m/s. A pipe B closed at one end oscillates on its first overtone (the next harmonic after the fundamental). The frequency of B coincides with the frequency of A.
a)find the length of pipe B
b) How many displacement nodes are present in pipe B?
c) Assume an x-axis along pipe B, with x = 0 at the closed end. In what position are the first two nodes located?
d) Draw the normal mode in which pipe A and pipe B oscillate (draw only the mode indicated in the problem, do not draw all possible modes).
e) What is the fundamental frequency of pipe A and pipe B?
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