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Helmholtz Resonator Frequency Calculator

A Helmholtz resonator consists of an enclosed cavity with an open neck that exhibits strong acoustic absorption and resonance at a specific natural frequency.

Diameter of opening / port tube.

Depth of neck tube (enter 0 for a thin aperture hole in a board).

Internal air cavity volume enclosed behind the neck.

Ambient air temperature impacting speed of sound.

Applies end correction to account for oscillating acoustic mass outside the physical neck tube.

Calculated Result
119.2 Hz

Resonant Tuning Frequency (f₀)

Resonant Frequency (f₀)

119.2 Hz

Acoustic Wavelength (λ)

2.88 m

Speed of Sound in Air

343.2 m/s

Cavity Volume

5 L (0.005 m³)

Neck Cross-Section Area

19.63 cm²

Physical Neck Length

40 mm

End Correction (ΔL)

42.5 mm

Effective Neck Length (L_eff)

82.5 mm

Calculation Breakdown

  1. Speed of Sound Calculationc = 331.3 · √(1 + 20 / 273.15) = 343.2 m/s at 20°C.
  2. Acoustic Mass & Effective LengthL_eff = L_neck + ΔL = 40 mm + 42.5 mm = 82.5 mm.
  3. Resonance Formulaf₀ = (c / 2π) · √(S / [V · L_eff]) = (343.2 / 6.283) · √(1.96e-3 / [5.00e-3 · 8.25e-2]) = 119.2 Hz.

Resonator Sizing Profile

Interactive visualization based on your current inputs

Value
0.0306090120Tuning Freq (Hz)Cavity Vol (L × 10)Neck Length (mm)Eff Length (mm)ParameterValue

What Is the Helmholtz Resonator Frequency Calculator?

The Helmholtz Resonator Frequency Calculator sizes acoustic resonant chambers to absorb targeted low-frequency room modes or exhaust drone pulsations.

How Does the Helmholtz Resonator Frequency Calculator Work?

The enclosed air volume behaves like a pneumatic spring while air inside the port behaves like an oscillating piston mass.

Helmholtz Resonator Frequency Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

f_0 = \frac{c}{2 \pi} \sqrt{\frac{S}{V \cdot (L + \Delta L)}}

Models the neck air plug as an acoustic mass bouncing against the air spring formed by the cavity volume.

How to Use the Helmholtz Resonator Frequency Calculator

  1. Enter neck aperture diameter and physical depth.
  2. Specify internal volume of the backing chamber in liters.
  3. Select flange mounting condition to apply acoustic end correction.

Step-by-Step Example Calculation

Acoustic Bass Trap Resonator Box

Input Values:

neckDiameter:50
neckLength:40
cavityVolume:5
airTemperature:20
endCorrectionType:bothFlanged
Worked Steps: Tunes cleanly to 120.3 Hz with effective neck length of 82.5 mm.

Understanding Your Result

Resonant Frequency (f₀): Peak absorption or transmission-loss frequency.

Effective Length: Physical length plus radiation mass end correction.

Wavelength: Acoustic standing wave size at resonance.

Factors That Affect the Result

  • Increasing cavity volume or neck length lowers the resonant tuning frequency.

When Should You Use This Calculator?

  • Studio bass traps, automotive intake & exhaust silencers, and architectural perforation absorber design.

Assumptions & Limitations

  • Applies when cavity dimensions are much smaller than acoustic wavelength (lumped parameter assumption).

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard acoustic lumped parameter model with Rayleigh end corrections.

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