Which reminds me.
Aug. 11th, 2004 02:18 pmThere was a trigger for that rant.
Question for the physics geeks, to save me whole minutes on google.
Building wind chimes. The pitch of a tube, when struck, is a function of volume, neh? Anyone have the formula to hand?
And is it *just* volume, or does diameter specifically affect it, beyond altering the volume given a constant length? Intuitively, too narrow or too wide presumably reduces the effectiveness of the pipe, and something nags in my memory about diameter affecting frequency in some hardcore way - a teenyweeny diameter pipe will never give you a "deep" note, no matter how long it is.
Or am I smoking crack?
UPDATE: I had in mind a design with different sized (inner & outer diamter, for the smartarse punk who points out that if they're the same size, they're the same pitch...) pipes. But I could use the same pipe, at first, which makes it easy:
See also "Basic Acoustics" by Donald E. Hall, Harper & Row, NY, 1987. This book points out that for two bars being identical except in their lengths, their frequencies are related as:
f1 / f2 = (L1 / L2)^2
Which makes it trivial to plug in the frequencies I want, and calculate the lengths.
sol.
.
Question for the physics geeks, to save me whole minutes on google.
Building wind chimes. The pitch of a tube, when struck, is a function of volume, neh? Anyone have the formula to hand?
And is it *just* volume, or does diameter specifically affect it, beyond altering the volume given a constant length? Intuitively, too narrow or too wide presumably reduces the effectiveness of the pipe, and something nags in my memory about diameter affecting frequency in some hardcore way - a teenyweeny diameter pipe will never give you a "deep" note, no matter how long it is.
Or am I smoking crack?
UPDATE: I had in mind a design with different sized (inner & outer diamter, for the smartarse punk who points out that if they're the same size, they're the same pitch...) pipes. But I could use the same pipe, at first, which makes it easy:
See also "Basic Acoustics" by Donald E. Hall, Harper & Row, NY, 1987. This book points out that for two bars being identical except in their lengths, their frequencies are related as:
f1 / f2 = (L1 / L2)^2
Which makes it trivial to plug in the frequencies I want, and calculate the lengths.
sol.
.