Consider a pipe that is closed at one end. Sketch the standing wave pattern in each of the following situations to show the regions of greatest and least air pressure variations (pressure antinodes and nodes, which are different from displacement antinodes and nodes). Then formulate equations that relate the wavelength å and frequency f to the length L of the pipe.

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Consider a pipe that is closed at one end. Sketch the standing wave pattern in each
of the following situations to show the regions of greatest and least air pressure
variations (pressure antinodes and nodes, which are different from displacement
antinodes and nodes). Then formulate equations that relate the wavelength å and
frequency f to the length L of the pipe.
a) Tube with both ends open (“open tube"): fundamental.
2 =
b) Tube with both ends open (“open tube"): first overtone (2nd harmonic).
aー
c) Find the ratio between fundamental and first overtone frequencies: f/f =
d) Tube with one open end (“closed tube"): fundamental.
e) Tube with one open end (“closed tube"): first overtone (3rd harmonic).
f3 =
f) Find the ratio of the first overtone and fundamental frequencies: /f =
Transcribed Image Text:Consider a pipe that is closed at one end. Sketch the standing wave pattern in each of the following situations to show the regions of greatest and least air pressure variations (pressure antinodes and nodes, which are different from displacement antinodes and nodes). Then formulate equations that relate the wavelength å and frequency f to the length L of the pipe. a) Tube with both ends open (“open tube"): fundamental. 2 = b) Tube with both ends open (“open tube"): first overtone (2nd harmonic). aー c) Find the ratio between fundamental and first overtone frequencies: f/f = d) Tube with one open end (“closed tube"): fundamental. e) Tube with one open end (“closed tube"): first overtone (3rd harmonic). f3 = f) Find the ratio of the first overtone and fundamental frequencies: /f =
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