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Wave Motion on a String

# Wave Motion on a String - Victor Liou Partner Brian Kelly...

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Victor Liou Partner: Brian Kelly Wave Motion on a String Abstract: In this experiment we wanted to examine the behavior of standing waves and how wave velocity is affected by force. Through experiment, we give validity to the equations = , = , = f 1T c λT and c λf . In the first part of the experiment I show relationships in wavelength and frequency. The of my 1/f vs. wavelength graph have two worst fit lines with slopes 18.1m/s and 22.6m/s. Through calculation of / F µ , I found a value of 24.1m/s . This value is barely out of the range of error . / < . / < . / 18 9m s 22 6m s 24 1m s which validates the relationship. In the second part of the experiment, I found the relationship between tension and wave speed. After plotting the tension vs. C^2 graph, I found worst fit line slopes of 240.0m/ kg and 283.2m/kg. After calculating 1/µ, I found a value of 237.6m/kg which is only slightly lower than the error range, . / < . / < . / 237 6m kg 244 0m kg 283 2m kg . This again shows that period, force, and frequency are all interrelated. Theory: If one end of a string is tied a vibrating body, and if a tension is present in the string, a periodic wave will be propogated along the string. The period, T, of a wave is defined as the time is takes for one complete cyle of vibration of any particle of the string. The frequency, f, is the number of complete cycles of a particle of the string in a given time period.

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Wave Motion on a String - Victor Liou Partner Brian Kelly...

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