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Helmholtz Resonator Frequency

Helmholtz resonance is the phenomenon of air resonance in a cavity, such as when one blows across the top of an empty bottle.

The Helmholtz resonance frequency equals the product of the speed of sound divided by 2\[Pi] and the square root of the ratio of the neck cross\[Hyphen]sectional area to the product of the neck length and cavity volume.


QuantityVariable["f", "Frequency"] == (Sqrt[QuantityVariable["A", "Area"]/(QuantityVariable["L", "Length"]*QuantityVariable["V", "Volume"])]*QuantityVariable[Subscript["v", "s"], "Speed"])/(2*Pi)

symbol description physical quantity
f frequency "Frequency"
A neck cross­sectional area "Area"
L neck length "Length"
V cavity volume "Volume"
vs speed of sound "Speed"



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