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1 total messages Started by LUDVIK KOWALSKI Mon, 03 Oct 1994 15:46

#1146

Author: LUDVIK KOWALSKI
Date: Mon, 03 Oct 1994 15:46

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Hello Bruce;

Here is a formula which may help you to find a better sounding blade.
I found it today in "Encyclopedia of Physics" by Lerner and Trigg, 1991.
It refers to the fundamental mode of a uniform blade clamped at one end.

f=(0.14*v*t)/(L*L) = (0.14*5000*0.001)/(0.1*0.1)=70 Hz

where v is the speed of sound in the material (5000 m/s for steel), t is
the thickness (1 mm in the above example) and L is the length (10 cm in
the example). As you can see, thicker and shorter blades will produce
higher f. The frequency of the next mode is always 6.27 timies higher.
Tuning fork prongs are examples of such "blades".
                                                             Ludwik K.

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