[C] A corrugahorn is a corrugated tube which is spun around to make a sound. Data: speed of sound = 344 m/s density of air = 1.29 [kg/m] (1) Given such a tube with a length of 1.00 meter, what are the resonant frequencies for a tube of this length? (It's open at both ends). (2) Without the corrugations, the tube will not produce sound in the same way. If the corrugations in the walls are spaced 8 mm apart, what is the frequency of a sound wave having a wavelength equal to the spacing? You can easily hear the tone when the tube is rotating, is this result from matching the ring spacing a working candidate for that tone? (3) Suppose tube, whose radius is 2 cm, is generating 0.1 Watts of wave energy. Treat this as being emitted at the center of the tube What would be the intensity of the wave a) at the center of the tube, b) at the end of the tube away from the hand. c) 4 meters from the end of the tube. Describe your approach to finding the intensity in each case. (d) Calculate the amplitude of the wave at the center of the tube using the frequency from part 1.

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[C] A corrugahorn is a corrugated tube which is spun around to make a sound.
Data: speed of sound = 344 m/s
density of air = 1.29 [kg/m]
(1) Given such a tube with a length of 1.00 meter, what are the
resonant frequencies for a tube of this length? (It's open at both
ends).
(2) Without the corrugations, the tube will not produce sound in
the same way. If the corrugations in the walls are spaced 8 mm
apart, what is the frequency of a sound wave having a wavelength equal to the spacing? You can easily
hear the tone when the tube is rotating, is this result from matching the ring spacing a working candidate for
that tone?
(3) Suppose tube, whose radius is 2 cm, is generating 0.1 Watts of wave energy. Treat this as being
emitted at the center of the fube What would be the intensity of the wave
a) at the center of the tube,
b) at the end of the tube away from the hand.
c) 4 meters from the end of the tube.
Describe your approach to finding the intensity in each case.
(d) Calculate the amplitude of the wave at the center of the tube using the frequency from part 1.
Transcribed Image Text:[C] A corrugahorn is a corrugated tube which is spun around to make a sound. Data: speed of sound = 344 m/s density of air = 1.29 [kg/m] (1) Given such a tube with a length of 1.00 meter, what are the resonant frequencies for a tube of this length? (It's open at both ends). (2) Without the corrugations, the tube will not produce sound in the same way. If the corrugations in the walls are spaced 8 mm apart, what is the frequency of a sound wave having a wavelength equal to the spacing? You can easily hear the tone when the tube is rotating, is this result from matching the ring spacing a working candidate for that tone? (3) Suppose tube, whose radius is 2 cm, is generating 0.1 Watts of wave energy. Treat this as being emitted at the center of the fube What would be the intensity of the wave a) at the center of the tube, b) at the end of the tube away from the hand. c) 4 meters from the end of the tube. Describe your approach to finding the intensity in each case. (d) Calculate the amplitude of the wave at the center of the tube using the frequency from part 1.
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