Vibrating Strings: Determining Wave Speed From Eq of Best Fit

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Marcin H
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Homework Statement


From the equation of best fit, determine the wave speed, v, for your string.

Homework Equations


f=(v/2L)n

The Attempt at a Solution


So I am supposed to find the speed of a wave using that graph and data. Do I just take the slope and replace the (f/n) in the equation? I feel like that is too simple.

Excel spreadsheet with a table of number of anti-nodes (1 to 6) against frequency in Hz (12.9, 25.8, 38.6, 54.5, 64.7, 77.6) and a scatter plot of frequency against anti-nodes with a linear trendline; the equation shown is y = 1.303E+01x + 7.333E-02, R² = 9.978E-01.
 
Marcin H said:
So I am supposed to find the speed of a wave using that graph and data. Do I just take the slope and replace the (f/n) in the equation? I feel like that is too simple.

your graph is perhaps straight line with y=0 at x=0 so write down the equation for the function- calculate slope at least 2-3 places to avoid error and see how you can get the answer -looks simple as it is a learning exercise.