- #1
orangeraindrops
- 7
- 1
Homework Statement
I am working on a math investigation which involves the physics of the flute and I can't move on unless I find an equation for the change in required velocity of the air stream to produce different frequencies. I have a feeling I might have to abandon this idea and do something else, because I can't find an equation that will give me the required air velocity to produce different notes. I know that it changes because I have always been told to use a faster air stream for higher notes. I found a thesis online that might be helpful, but most of the math goes over my head since I'm still in high school.
Homework Equations
/ variables[/B]-Bernoulli's Principle
-Stream function?
There are not many values that I can find since I don't have equipment to measure anything. I know the frequencies and wavelengths of the notes and the distance to the first open hole for each fingering (which changes the length of the tube). I may be able to measure pressure, but I'm not sure if my school's sensors are sensitive enough to pick it up.
The Attempt at a Solution
The only equation I have found so far is Bernoulli's Principle, but I'm not sure if I can use it because I don't have data for the pressure and I doubt I will be able to get it. The thesis I read mentioned "differentiating the stream function" to find "the sum of the acoustic velocity and the transverse velocity of the instability wave", but I read about the stream function and I don't really understand it. Also, I don't think the velocity of the instability wave is the same as the velocity of the air jet.
In summary, my question is: Is there an equation I can use to calculate the required air jet velocity to produce different notes (frequencies) in a tube (flute)?