4. The longest pipe in a certain organ is 4.00 meters long. What are the frequencies of the fundamental and first two overtones the organ will produce if the pipe is (i) open at both ends; (ii) closed at one end? ii) Open at both ends: a) Sketch the first three resonances in the open pipe (see Fig. 16-41). n=1 n = 2 n = 3 b) Write down the equation(s) governing harmonics in an open pipe (Eq. 16-31 and 16-32) c) Calculate the fundamental frequency, assuming the speed of sound is 344 m/s. f₁ =____ Hz d) Calculate the next two frequencies by doubling and tripling. f₂= Hz f3= Hz
4. The longest pipe in a certain organ is 4.00 meters long. What are the frequencies of the fundamental and first two overtones the organ will produce if the pipe is (i) open at both ends; (ii) closed at one end? ii) Open at both ends: a) Sketch the first three resonances in the open pipe (see Fig. 16-41). n=1 n = 2 n = 3 b) Write down the equation(s) governing harmonics in an open pipe (Eq. 16-31 and 16-32) c) Calculate the fundamental frequency, assuming the speed of sound is 344 m/s. f₁ =____ Hz d) Calculate the next two frequencies by doubling and tripling. f₂= Hz f3= Hz
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Could you help me with number 4 please.
Transcribed Image Text:4. The longest pipe in a certain organ is 4.00 meters long. What are the frequencies of the
fundamental and first two overtones the organ will produce if the pipe is (i) open at both ends;
(ii) closed at one end?
ii) Open at both ends:
a) Sketch the first three resonances in the open pipe (see Fig. 16-41).
n=1
n = 2
n = 3
b) Write down the equation(s) governing harmonics in an open pipe (Eq. 16-31 and 16-32)
c) Calculate the fundamental frequency, assuming the speed of sound is 344 m/s.
f₁ =
Hz
d) Calculate the next two frequencies by doubling and tripling.
f₂ =
Hz f3 =
Hz
ii) Closed at one end:
a) Sketch the first three resonances in the closed pipe (see Fig. 16-42).
n=1
n =
?
n= ?
b) Write down the equation(s) governing harmonics in an closed pipe (Eq. 16-33 and 16-34)
c) Calculate the fundamental frequency, assuming the speed of sound is 344 m/s.
f₁ =
Hz
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