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.
Formula
![QuantityVariable["f", "Frequency"] == (Sqrt[QuantityVariable["A", "Area"]/(QuantityVariable["L", "Length"]*QuantityVariable["V", "Volume"])]*QuantityVariable[Subscript["v", "s"], "Speed"])/(2*Pi)](https://www.wolframcloud.com/objects/resourcesystem/marketplacestorage/resources/f3e/f3eced3a-8c13-44dd-bf00-80c75bc02566/Webpage/FormulaImage.png "Copy to Clipboard")
| 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" |