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?
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter18: Superposition And Standing Waves
Section: Chapter Questions
Problem 49PQ
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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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