I Need to Calculate the Speed of Sound for a Lab

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To calculate the speed of sound in a classroom setting, one method involves using tuning forks and a PVC pipe submerged in water. The process includes striking the tuning fork, adjusting the pipe's position to find the loudest resonance, and measuring the pipe's length to determine the wavelength. The fundamental frequency can then be used to calculate the speed of sound using the formula v = f(wavelength). Concerns were raised about the accuracy of fixed-length pipes and tuning forks, emphasizing the importance of matching frequencies. The discussion concluded with a confirmation of the proposed method, indicating it aligns with the professor's expectations.
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Homework Statement


Calculate the speed of sound in the classroom. You can use: Tuning forks, water, beaker, pvc pipe, ringstands, etc.

Homework Equations


v = f(wavelength)
For fundamental frequency: L = 1/4(wavelength)
For fundamental frequency: f = v/4L

The Attempt at a Solution


Here is what I plan to do and would like to know whether or not it would work. I would use one of the tuning forks provided (which will have its frequency labeled), hit it with a pvc pipe and place the pipe over or under the forks so the sound waves enter the pipe. I will try each pipe until one of them produces the loudest noise, signaling the best resonance. Then I will use its length and whatever frequency the forks were to find the wavelength. I'll then use the wavelength to find the velocity of the sound waves. Would this work?
 
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You don't specify what sort of selection of pipes, tuning forks, etc., that will be available, so it's hard to make a recommendation.

Relying on fixed-length pipes seems problematical to me, as it would increase the margin for error in the final result if you don't have an exact match for the pipe and frequency. Same goes for fixed frequency tuning forks if the available pipes don't precisely match one of the available frequencies.

The suggestion that water is available opens up some possibilities.

Did you do any research into labs that investigate the same issue? For example, a Google search on "open tube speed of sound" yields a Hyperphysics link: http://hyperphysics.phy-astr.gsu.edu/hbase/Class/PhSciLab/restube2.html
 
gneill said:
You don't specify what sort of selection of pipes, tuning forks, etc., that will be available, so it's hard to make a recommendation.

Relying on fixed-length pipes seems problematical to me, as it would increase the margin for error in the final result if you don't have an exact match for the pipe and frequency. Same goes for fixed frequency tuning forks if the available pipes don't precisely match one of the available frequencies.

The suggestion that water is available opens up some possibilities.

Did you do any research into labs that investigate the same issue? For example, a Google search on "open tube speed of sound" yields a Hyperphysics link: http://hyperphysics.phy-astr.gsu.edu/hbase/Class/PhSciLab/restube2.html
Ok thanks, that is probably the method that our professor was hoping we would end up attempting. So I would fill a beaker, place a PVC pipe in the water, strike the tuning forks and place them above the open end of the pipe, lower and raise the pipe until the noise is the loudest, mark the length and that would be the first harmonic? Then would I lift the tube higher and try to find the next point where the noise is loudest, and that would be the second harmonic? Thanks for the help, wave motion isn't my favorite...
 
Sounds good! :wink:
 
gneill said:
Sounds good! :wink:
Thanks, really appreciate the help!
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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