To see what kind of sound this pipe would make, we needed to find the length, diameter, wavelength, and the frequency.
Calculations:
length: 12.5 cm = 0.125m
diameter: 1.3 cm = 0.013 m
wavelength: 0.513m
frequency: 668.62 hz
I input the frequency into Wolfram Alpha and found that my palm pipe's note is supposed to be E5 + 24cents.
We created our tune by hitting the end of the pipe with our hand. Then, when the noise was made, the microphone connected to the lab quest picked up approximately 0.03 seconds of sound. The peak was 625 hz as shown below on the lab quest. When I put the peak into Wolfram Alpha, it gave me "E♭5" which is very close to my calculation.
We learned that woodwind instruments are closed at one end and the harmonics are in odd increments. They are similar to stringed instruments since they are mathematically proportional and the fundamental frequency is always the lowest frequency at which a standing wave will occur. The harmonics look like this:
