Relationship between frequency and tension on a string

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SUMMARY

The discussion centers on the relationship between fundamental frequency (f1) and mass (m) attached to a string, revealing a linear correlation in the data collected. The participant is attempting to derive a power relationship to calculate string tension, referencing the equation V = f * wavelength. Despite achieving a high R² value with the linear graph, they question the accuracy of their frequency measurements, considering the possibility of recording a subharmonic frequency. The participant seeks guidance on whether their approach is correct and how to proceed with the analysis.

PREREQUISITES
  • Understanding of fundamental frequency and its relationship to mass and tension
  • Familiarity with graphing techniques and data analysis
  • Knowledge of wave equations, specifically V = f * wavelength
  • Experience with logarithmic regression analysis
NEXT STEPS
  • Research the relationship between frequency and tension in strings using the equation f ∝ √T
  • Learn about subharmonics and their impact on frequency measurements
  • Explore advanced graphing techniques for analyzing power relationships
  • Investigate the use of logarithmic regression for fitting data in physics experiments
USEFUL FOR

Students and educators in physics, particularly those studying wave mechanics and string tension, as well as anyone involved in experimental data analysis and graphing techniques.

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Homework Statement


In the experiment, a mass was attached to the string. Increasing mass was added, and the fundamental frequency for each mass was determined. I am trying to create a graph from the data, but I am finding that I am getting a linear graph between f1 (fundamental frequency) and m (mass added). The goal is to use the graph to find out the exponent so I can calculate the tension in the string, etc. It was hinted that it would be a power relationship. Am I doing something wrong?

Homework Equations


V= f * wavelength

The Attempt at a Solution


I have a linear graph that has a very very high R^2 value, but the logarithmic regression line that fits, but not as well as the linear graph. Is it possible that the fundamental frequency I recorded was actually a subharmonic? I have tried graphing it as frequency (hz) vs mass (g) and frequency (hz) vs mass (kg), with frequency as the y-axis and the mass as the x-axis. Thanks for any assistance!
 
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From google books it looks like f is proportional to the sqrt of tension.
http://www.physics.ryerson.ca/sites/default/files/u3/2011/06/StandingWaves.pdf"
 
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