Fundamental Frequency and Pipe Length Calculation for Open Pipes

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Homework Help Overview

The discussion revolves around calculating the fundamental frequency and length of an open pipe based on given successive harmonics of 235 Hz and 275 Hz at 20 degrees Celsius.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to understand the relationship between the given harmonics and the fundamental frequency, questioning how to derive the fundamental frequency from the provided harmonic frequencies.

Discussion Status

Some participants are exploring the relationship between harmonics and questioning the derivation of relevant equations. There is an exchange of ideas regarding the general formula for harmonics, but no consensus has been reached on the specific calculations.

Contextual Notes

Participants express uncertainty about the equations and relationships involved, indicating a need for clarification on the derivation of formulas related to harmonics in open pipes.

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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