Relationship between frequency and tension on a string

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The discussion focuses on an experiment where a mass is added to a string to determine the relationship between fundamental frequency and mass. The user observes a linear relationship between frequency and mass, despite hints that a power relationship may exist. They are attempting to graph the data to find an exponent for calculating string tension but are confused by the high R^2 value of the linear fit compared to the logarithmic regression. There is speculation about whether the recorded fundamental frequency could be a subharmonic. The user seeks clarification on the relationship and assistance with their analysis.
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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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