How to use the helmholtz resonator frequency calculator
Find the resonant frequency of an air cavity with a neck, such as a bottle or speaker box. Enter neck radius, neck length, cavity volume in the fields above; the resonant frequency is computed instantly and plotted on the chart so you can see how the answer changes.
Common searches this calculator answers include “Helmholtz resonator”, “bottle resonance frequency”, “cavity resonance”, “calculate helmholtz resonator frequency”, “find resonant frequency”.
Formula
Variables
- r — Neck radius (m)
- lneck — Neck length (m)
- V — Cavity volume (m³)
Worked example
With neck radius = 0.01 m, neck length = 0.05 m, cavity volume = 0.001 m³, the calculator gives resonant frequency ≈ 118.2093 Hz.
Frequently asked questions
What is the helmholtz resonator frequency calculator used for?
Find the resonant frequency of an air cavity with a neck, such as a bottle or speaker box. It helps with questions such as “Helmholtz resonator”, “bottle resonance frequency”, “cavity resonance”.
What is the formula for the helmholtz resonator frequency calculation?
Resonant frequency (Hz) = 343 / (2 × π) × √(π × r × r / (V × (lneck+1.7 × r))). Here r is neck radius (m), lneck is neck length (m), V is cavity volume (m³).
What inputs do I need for the helmholtz resonator frequency calculator?
You need neck radius in m, neck length in m, cavity volume in m³. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use the helmholtz resonator frequency calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the helmholtz resonator frequency result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.