Relationship between period and wavelength

The purpose of this lab is to find the relationship between the period and wavelength of the wave. We use the string to form the wave loop. We measure the wavelength by meter stick and find the period by using the timer to record the time used to form certain number of wave.

Two people hold different ends of strings, one of us swing and another stop moving his hand. We do four trials with different distances between two people but same number of loop, which means we have different wavelengths in trials.


We got the data as follow:

Trial	Distance between two people (m)	Wavelength (m)	Period (s)
1	1 ± 0.005	2 ± 0.005	0.923 ± 0.005
2	1.5 ± 0.005	3 ± 0.005	0.935 ± 0.005
3	2 ± 0.005	4 ± 0.005	1.066 ± 0.005
4	2.5 ± 0.005	5 ± 0.005	1.215 ± 0.005

We have the chart for the relationship between wavelength and period:



The points on the chart form nearly a linear proportional relationship except the first trial. It is because we count the time of period for the first trial wrong. The theoretical value of period of first trial should be smaller than we count. But we still have approximately a liner proportional relationship between wavelength and period. We have the equation y = 9.006x - 5.819. We have the the ratio of wavelength and period is closely to 9.006.

Conclusion:
After conducting the wave lab, we can still find the relationship wavelength of period of a wave is proportional to each other even though we count the period of the first trial which is more than the theoretical value. We