Helmholtz Resonator Calculator

Helmholtz Resonator Calculator

Determine the resonant frequency of a Helmholtz resonator based on its geometry.

Last updated: March 2026 | By ForgeCalc Engineering

Resonant Frequency
204.3
Hz (Hertz)

What is a Helmholtz Resonator?

A Helmholtz resonator is a container of gas with an open hole (or neck). A volume of air in and near the open hole vibrates because of the 'springiness' of the air inside. A common example is the sound created when you blow across the top of an empty bottle.

They are used in musical instruments, exhaust systems (to reduce noise), and architectural acoustics to absorb specific frequencies of sound.

The Physics Formula

Resonant Frequency Formula

f = (c / 2π) * √(A / (V * L_eq))
  • f = Resonant frequency (Hz)
  • c = Speed of sound (m/s)
  • A = Cross-sectional area of neck
  • V = Volume of the cavity
  • L_eq = Equivalent length of neck (L + 0.6d)

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