An experiment to determine the speed of sound using a closed pipe.

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Homework Help Overview

The discussion revolves around an experiment designed to determine the speed of sound using a closed pipe setup involving a large cylinder filled with water and a moveable tube. The original poster seeks clarification on measuring the wavelength and the relationship between the length of the air column and resonance points.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to understand how to measure the wavelength using the length of the air column in the tube and questions whether the length corresponds to the moveable pipe. They also inquire about the relationship between the water level and resonance.
  • Some participants suggest that the length of the air column should be measured and that resonance points should be identified for accurate results. There is a discussion about the importance of locating adjacent resonance points to determine the wavelength.
  • Further questions arise regarding the setup and methods for finding resonance, including whether to vary the water level or the frequency of the sound source.

Discussion Status

The discussion is ongoing, with participants providing insights and suggestions for refining the experimental approach. Some guidance has been offered regarding the identification of resonance points, but there is still uncertainty about the setup and measurement techniques.

Contextual Notes

The original poster has not yet conducted the experiment and is seeking feedback on their proposed method. There is a focus on ensuring that the setup is appropriate for measuring the speed of sound accurately.

_Mayday_
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Would it be possible for someone to check over my experiment? I have not conducted the experiment yet, but I would like to make sure I am on the right tracks.

The equation I will be using to determine the speed of sound is:

v=f\lambda

v is the speed of sound

f is the frequency and this will be known

\lambda is the wavelength, this is what I must find

I will have a large cylinder fulled with water and inside it there will be a moveable tube. Correct me if I am wrong, but am I measuring from the top of the tube to the water? How do I use this to determine the wavelength? There must be an equation that relates the distance from the top of the pipe and the surface of the water. As this experiment involves a close pipe so I think I have the equation for the length of the pipe.

Length=\frac{1}{4}\lambda

My question is, is this length the length of the moveable pipe? If so I can measure that and then calculate the wavelength, though this length may be the point at which I get a resonance.

Any help would be great, thanks!

Bit Confused

_Mayday_
 
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I'm not entirely sure of your set up from your description but normally one would use the length of the pipe.
 
Kurdt sorry about that :smile:

What I will do is draw it all up on paint and then host it, that should make things easier to understand :biggrin:
 
_Mayday_ said:
Would it be possible for someone to check over my experiment? I have not conducted the experiment yet, but I would like to make sure I am on the right tracks.

The equation I will be using to determine the speed of sound is:

v=f\lambda

v is the speed of sound

f is the frequency and this will be known

\lambda is the wavelength, this is what I must find

I will have a large cylinder fulled with water and inside it there will be a moveable tube. Correct me if I am wrong, but am I measuring from the top of the tube to the water? How do I use this to determine the wavelength? There must be an equation that relates the distance from the top of the pipe and the surface of the water. As this experiment involves a close pipe so I think I have the equation for the length of the pipe.

Length=\frac{1}{4}\lambda

My question is, is this length the length of the moveable pipe? If so I can measure that and then calculate the wavelength, though this length may be the point at which I get a resonance.

Any help would be great, thanks!

Bit Confused

_Mayday_

This equation is (approximately) correct if L is the length of the air column , i.e. the air section going from the water to the rim of the tube AND if this is the smallest distance producing resonance. This is where the sound wave is present.

But in a real experiment, the antinode is not exactly at the rim of the tube so this does not give very good results. It's preferable to change the water level and locate two adjacent resonance points. In that case, you may use that the distance between two adjacent resonance points is lambda/2.
 
kdv said:
This equation is (approximately) correct if L is the length of the air column , i.e. the air section going from the water to the rim of the tube AND if this is the smallest distance producing resonance. This is where the sound wave is present.

But in a real experiment, the antinode is not exactly at the rim of the tube so this does not give very good results. It's preferable to change the water level and locate two adjacent resonance points. In that case, you may use that the distance between two adjacent resonance points is lambda/2.

Can you please expand on that? I am not sure what you mean by two adjacent resonance points? How would I go about finding those? It would be a nice bit of extra work I could pop in for some extra marks :smile:

Thanks for the response. Kurdt I don't think I will draw that out after all as I have an answer, thanks for your time though! :biggrin:
 
_Mayday_ said:
Can you please expand on that? I am not sure what you mean by two adjacent resonance points? How would I go about finding those? It would be a nice bit of extra work I could pop in for some extra marks :smile:

Thanks for the response. Kurdt I don't think I will draw that out after all as I have an answer, thanks for your time though! :biggrin:

well, I am not sure what your setup is exactly. I was assuming that you could vary the level of the water and look for resonance. This is the way I have seen it done: there is a source of sound at a fixed frequency near the opening of the pipe and the water level is varied while one searches for resonances. What is yoru setup? Another possibility would be to keep the water level fix and vary th efrequency in which case one should look for resonances at two adjacent frequencies and there is a formula for that as well
 
I have a big tube filled with water, the water level will not change. I then have a hollow perspex tube which I vary the distance up and down on the inside of the water filled tube. I have varied frequency forks that are a fixed distance from the top of the perspex tube. i want to know how I go about calculating the wavelength.

Thans for you help =]
 

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