Purpose:
The purpose of this experiment was to investigate the relationship between the period of a standing wave (T) and its wavelength (L).
Method and Results:
To achieve the desired data for this experiment a spring was secured and held at opposite ends so its frame was parallel with the ground. The goal was to have both experimenters who held the opposite ends of the spring to apply an upward force in an attempt to create one standing wave.
The length measured from one experimenter to the other was recorded as the wavelength (L). Once the Standing wave was created a stopwatch was used to measure the elapsed time for ten complete cycles. This time was then divided by ten too determine the period of one cycle (T).
At least two trials were taken at this length. The experiment was next repeated at different lengths. Averages were taken at each length and the results we graphed.
L (m) T (1/s) Average T (1/s)
2.76 +/- .06 0.855 +/- .045 0.871 +/- 0.225
0.834 +/- .045
0.902 +/- .045
0.858 +/- .045
0.904 +/- .045
2.51 +/- .06 0.777 +/- .045 0.761 +/- 0.135
0.755 +/- .045
0.751 +/- .045
3.17 +/- .06 1.014 +/- .045 1.027 +/- 0.135
1.030 +/- .045
1.036 +/- .045
1.43 +/- .06 0.436 +/- .045 0.423 +/- 0.090
0.409 +/- .045
Conclusion:
When graphed the slope of the line is equal to the velocity the wave travels through the medium, in this case the spring. This value was determined to be 3.179 m/s +/- 0.285 m/s.
This result proves that the velocity of the propagation of the wave is expressed in the equation.
v= L/T
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