Graphing Wavelength vs Inverse freq. or Period

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SUMMARY

The discussion centers on a lab experiment measuring the relationship between wavelength and period using tuning forks. The user reports obtaining a negative slope of -32.2 when graphing wavelength against the inverse frequency, which contradicts the expected positive slope representing the speed of sound. The experiment involved measuring resonance in air columns with tuning forks at 512 Hz and others, leading to calculated wavelengths that did not align with theoretical expectations. The user seeks assistance in identifying potential errors in their methodology.

PREREQUISITES
  • Understanding of wave mechanics and sound propagation
  • Familiarity with graphing techniques and slope interpretation
  • Knowledge of resonance in air columns and tuning fork frequencies
  • Basic skills in experimental data collection and analysis
NEXT STEPS
  • Review the principles of wave speed and its relationship to wavelength and frequency
  • Learn about the proper methods for measuring resonance in air columns
  • Investigate the impact of measurement errors on experimental results
  • Explore the theoretical speed of sound in air and how to validate experimental findings against it
USEFUL FOR

Students conducting experiments in physics, educators teaching wave mechanics, and anyone involved in acoustics research or sound measurement techniques.

PSEYE
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According to our lab manual, the graph of Wavelength vs Period : the slope should be the speed of sound. Well, I have a negative slope of -32.2 which is ridiculous, but I can't find out what I'm doing wrong. We had 5 tuning forks , say for instance, 512Hz...the inverse
1/f = 1/512= 0.00195 , I am graphing this on the x-axis and Wavelength on the Y axis. This experiment was done with 2 tubes, one fitted into another, and you're supposed to pull the smaller tube out until the particular tuning for resonates. You are to take the distance of the pipe + the extended portion of the other pipe at 3 different places you hear resonance...then you are supposed to take the difference of the average and double it - that should be your wavelength...example

the tube is 90cm long
first trial @ 512 Hz - heard first resonance at 98.5cm or 8.5 depending...our lab instructor told us to use the entire distance so i did. Heard second resonance at 124cm, and 3rd resonance at 165. I took the difference between these three values and averaged it, then doubled it - i got 66.50cm or 0.665m I did this with 4 other tuning forks , got my info and graphed a negative slope that wasn't even close to being a straight line.

Can anyone give me a clue as to what I'm doing wrong?

Thanks.

oh btw, this is for lab : Resonance in Air Columns.
 
Physics news on Phys.org
If your textbook gives the actual speed of sound in air, you can use that to check whether the wavelength you get is close to what you expect for each frequency.
 

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