Functional relationship between pressure and position(1d).

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SUMMARY

The discussion centers on establishing the functional relationship between pressure and position in the context of sound waves in an open cylindrical tube. The experiment involves using a speaker to drive sound waves and measuring voltage peaks with a microphone and oscilloscope. The user seeks guidance on fitting data points from a voltage versus position graph to derive a mathematical model for the speed of sound in air. Suggestions for appropriate fitting techniques and models are requested to enhance the analysis.

PREREQUISITES
  • Understanding of sound wave propagation in cylindrical tubes
  • Familiarity with oscilloscope operation and voltage measurement
  • Knowledge of data fitting techniques and curve fitting
  • Basic principles of oscillations and wave mechanics
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  • Research "Fourier analysis for sound wave modeling"
  • Learn about "Least squares fitting methods" for data analysis
  • Explore "Mathematical modeling of wave phenomena"
  • Investigate "Acoustic pressure measurement techniques"
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Students and researchers in physics, particularly those studying advanced mechanics, sound wave behavior, and data analysis in experimental setups.

Bleakfacade
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Hello there, so today I started doing my research on oscillations in a course on advanced mechanics. The experiment was to mathematically model the speed of sound in air and experimentally prove the usability of the model. To keep it simple and pose my question as directly as possible, my professor told me to use the driving sound wave from the speaker in a open cylindrical tube. Further, the maxima of the voltage as read by the microphone(displayed by the oscilloscope) was to be considered as the peak(amplitude) of the pressure.
What I am trying to establish is the functional relationship between pressure and position. I have a graph of voltage against position(attached), but I do not know what to fit the data points with.
All your suggestions and help is hereby gratefully appreciated. Thank you in advance.
 

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Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 

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