posted by Dan on .
A 3.00 m long pipe is in a room where the temperature is 20 C. What is the fundamental frequency if the pipe is closed at one end?
Would this count as an open pipe still, or a closed pipe?
This is what I did.
Wavelength = 2L/n
Wavelength = 2(3)/1
Wavelength = 6
(331 + (.6*20)) = f(6)
f = 57.17 Hz
Is this correct?
closed at one end, open at the other. the length of the pipe is .25 lambda.
so,lambda has to be 12 m.
Sorry, but your answer is incorrect. Since the pipe is 3.00 m long and open at one end, the first resonance will occur with a wavelength four times the length of the pipe, or 12 m. Use 343 m/s for the speed of sound at 20°C.
Velocity = Wavelength x Frequency
Frequency = Velocity / Wavelength
(331 + .6*20) = 343
Frequency = 343/12 = 28.58 ~ 29 Hertz
That is the right answer