What Are the Partials of a 16 ft Open Organ Pipe?

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Homework Help Overview

The discussion revolves around determining the fundamental frequency and first overtone (second partial) of a 16 ft long open organ pipe. The context involves understanding wave properties in musical acoustics, specifically in relation to pipe instruments.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants attempt to apply the wave equation V=fλ to find the fundamental frequency and overtones. There are questions about the accuracy of wavelength calculations and the interpretation of the relationship between pipe length and wavelengths. Some participants express uncertainty about the concept of partials and how they relate to nodes and antinodes in the context of open pipes.

Discussion Status

The discussion is ongoing with participants sharing their interpretations and questioning each other's reasoning. There is a recognition of confusion regarding the definitions and calculations related to partials, and some guidance is being sought on the concepts of nodes and antinodes.

Contextual Notes

Participants mention a potential misunderstanding of units (feet vs. meters) and express a desire for clarification on the fundamental concepts of wave behavior in open pipes.

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Homework Statement


What are the fundamental and first overtone (second partial) of an open (at both ends)
organ pipe 16 ft long?

Homework Equations


V=fλ


The Attempt at a Solution


V=fλ
343=f8
42.9 hz= f

I'm just not sure how to find partials :/ All help is appreciated
 
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Mozzalicious said:
V=fλ
343=f8
If I'm interpreting that equation correctly, you're saying the fundamental wavelength in a 16ft doubly open pipe is 8m. That's a bit inaccurate. How do you arrive at that?
For the first overtone, how many wavelengths in the pipe?
 
haruspex said:
If I'm interpreting that equation correctly, you're saying the fundamental wavelength in a 16ft doubly open pipe is 8m. That's a bit inaccurate. How do you arrive at that?
For the first overtone, how many wavelengths in the pipe?

Well, I wouldn't say arrived so much as blundered into it lol. I don't really understand the question or partials so from everything I was able to find on partials I guessed 8. From the information the other things I could think of would be 16 or 2. I could provide the links to this information. I was kind of just throwing darts with something I didn't understand
 
Mozzalicious said:
Well, I wouldn't say arrived so much as blundered into it lol. I don't really understand the question or partials so from everything I was able to find on partials I guessed 8. From the information the other things I could think of would be 16 or 2. I could provide the links to this information. I was kind of just throwing darts with something I didn't understand

Maybe I should have emphasised parts of my question: 16 feet... 8 metres.
Do you know about nodes and antinodes? Do you get a node or antinode at the open end of a pipe? Can you draw a diagram?
 

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