Physics

Helmholtz Resonator Calculator

Find the resonant frequency of a Helmholtz resonator.

Neck area

Cavity volume

Neck length

Speed of sound

Calculated Output

Resonant frequency (Hz) 172.63

Formula: f = (c/2π)·√(A ÷ (V·L))

Step-by-Step Breakdown

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

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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.