Finding the Fundamental Frequency and Length of an Open Pipe at 20°C

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SUMMARY

The discussion centers on calculating the fundamental frequency and length of an open pipe producing harmonics at 235 Hz and 275 Hz at 20°C. The correct approach involves using the speed of sound in air, calculated as 331 + 0.6*T, where T is the temperature in Celsius. The fundamental frequency can be determined by finding the difference in wavelengths of the two harmonics and applying the formula L = 2λ0. The fundamental frequency is established as 220 Hz, and the length of the pipe is calculated to be 0.75 meters.

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jhayes25
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My question goes as follows:

An open pipe in air is designed to produced 2 successive harmonics at 235 Hz and 275 Hz at 20 degrees Celsius.
What is the fundamental frequency?
What is the length of the pipe (m)?

I'm not sure how to solve this problem, as I can't find the equation to properly relate the information I have. Would you use Frequency=V/2L?

I'd like to apologize for posting this in the physics thread, it was an accident.
 
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1. Calculate each wavelength.
2. [tex]\lambda_n-\lamdba_{n+1}=\lambda_0/2[/tex].
3. [tex]f=c/n\lambda_0[/tex]
4. [tex]L=2\lambda_0[/tex].
 
Last edited:
So the wavelength equals velocity over frequency. Velocity equals 331+0.6*T (C) correct? So find the velocity and divide it by both frequencies and subtract the second from the first, then multiply by two, and that should give me the fundamental wavelength (lambda not)?
 

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