Length of Pipe

Introduction
              The purpose of this experiment is to be able to determine the length of a pipe by spinning the pipe and recording the sound it creates using a logger pro. The speed of the spin will then be changed to get different frequency from the sound. The length of the pipe will be calculated using the harmonics equation learned in class.

Experiment
       The pipe was spun until a clear tone was heard and then the frequency was measured using logger pro. This procedure was repeated with greater spinning speed and then some data was again taken. Once the data is taken, some calculation was done to determine the length of the pipe.

The data taken is as follow:

Speed	ω(rad/s)	f(Hz)	L(m)
Slow	3859 ± 0.4736	614	0.83
Fast	5068 ± 1.106	806

The calculation that was made are as follow to obtain the length

Conclusion
         In this experiment the length of the pipe is calculated using the concept of harmonics. Since it is an open ended pipes, the anti-nodes has to be at the end. As shown in the picture above, the shape of first harmonics has to be picture 1 while number 2 will have a half wavelength longer. By using the relation of the first harmonics with the frequency and wavelength and the second harmonics, The length of the pipe is determined to be 0.83m. Our group didn't measure the pipe using ruler, but using the data of other group, the length appears to be 0.80m by using ruler. This comes out to have 3.75%. This error occurred probably because the pipe is actually stretched when spun which increase its length to create the sounds. Some rounding in the calculation might also cause the percent error to appear in this experiment.