View Single Post
  #2 (permalink)  
Old 04-21-2008, 07:21 AM
johnmc2 johnmc2 is offline
Member
 
Join Date: Apr 2008
Posts: 1
Rep Power: 0
johnmc2 has a spectacular aura about
Hi

The canal's harmonics will occur when you have a displacement node at the drum and an antinode at the open end.

So the longest wavelength that will produce this is when the length of the canal is 1/4 of a wavelength.
That gives the wavelength as 4*0.025=0.10m
The speed of sound is about 330m/s so as f=v/?, f=330/0.10=3300Hz

Because it's a closed tube, we won't get the second, fourth, sixth, or any even-numbered harmonics. That is because that would mean a node at the open end, which ain't possible.

So the next one will be the third harmonic (f=3300*3=9900Hz); followed by the fifth at 16,500Hz; and the seventh at 23,100Hz.

Hope this helps.
Reply With Quote