Question

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?

Answer 1

closed at one end, open at the other. the length of the pipe is .25 lambda.

so,lambda has to be 12 m.

Answer 2

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

Answer 3

That is the right answer