Helmholtz Resonator Calculator

Find the resonant frequency of a Helmholtz resonator.

Neck area

Cavity volume

Neck length

Speed of sound

Resonant frequency (Hz) 172.63

Formula: f = (c/2π)·√(A ÷ (V·L))

Step-by-step with your numbers:

1. Values used:

2. Neck area = 0.0005

3. Cavity volume = 0.001

4. Neck length = 0.05

5. Speed of sound = 343

7. Resonant frequency = 172.63Hz

Did we solve your problem today?

A Helmholtz resonator is the air-spring effect that makes a bottle hum when you blow across it.

The math behind it

f = (c/2π)·√(A ÷ (V·L)), where A is the neck area, V the cavity volume and L the neck length.

A = 5 cm², V = 1 L, L = 5 cm → about 110 Hz.

Where is this used?

In bass-reflex speakers, mufflers and acoustic absorbers.