Fundamental Frequency and Pipe Length Calculation for Open Pipes

AI Thread Summary
The discussion revolves around calculating the fundamental frequency and length of an open pipe that produces harmonics at 235 Hz and 275 Hz. The relationship between frequency and pipe length is explored, specifically using the formula Frequency = V/2L, where V is the speed of sound in air. Participants express uncertainty about deriving the fundamental frequency and connecting successive harmonics. Clarification is sought on how to relate these harmonics and the general formula for any harmonic. A resource link is provided for further understanding of the topic.
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?
 
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jhayes25 said:
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?

Have you understood how the above relationship is derived? If you have, then by increasing the number of nodes formed within the pipe, you can derive the general formula for any harmonic.
 
I'm not sure that I understand the relationship you are talking about. How do you relate the successive harmonics?
 
jhayes25 said:
I'm not sure that I understand the relationship you are talking about. How do you relate the successive harmonics?

Have a look at http://hyperphysics.phy-astr.gsu.edu/hbase/waves/opecol.html" first.
 
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