Vibrating Strings: Determining Wave Speed From Eq of Best Fit

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SUMMARY

The discussion focuses on determining the wave speed, v, for a vibrating string using the equation of best fit derived from experimental data. The relevant equation is f=(v/2L)n, where f represents frequency, L is the length of the string, and n is the harmonic number. Participants emphasize the importance of calculating the slope of the graph at multiple points to ensure accuracy in determining wave speed. This method is presented as a straightforward yet effective learning exercise in wave mechanics.

PREREQUISITES
  • Understanding of wave mechanics and harmonic frequencies
  • Familiarity with graphing data and determining slopes
  • Knowledge of the equation f=(v/2L)n
  • Basic skills in data analysis and interpretation
NEXT STEPS
  • Research methods for calculating wave speed in different mediums
  • Learn about harmonic frequencies and their applications in physics
  • Explore data fitting techniques for experimental graphs
  • Study the principles of wave behavior in strings and other materials
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics, as well as educators looking for effective teaching methods for demonstrating wave speed concepts.

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.

Screen Shot 2016-04-02 at 10.53.45 PM.png
 
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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.
 

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