Calculate closed pipe resonance frequency, speed of sound, or pipe length from any two values using the fundamental resonance formula.

One end closed, one end open. Ideal fundamental mode; no end correction.

Related Calculators

Closed Pipe Resonance Formula

For the ideal fundamental of a tube closed at one end and open at the other, use:

f = v / (4L)
  • f = fundamental frequency in hertz
  • v = sound speed in meters per second
  • L = pipe length in meters

The inverse equations are v = 4Lf and L = v / (4f). Choose the quantity to solve for and enter the other two, using positive values and the corresponding units. The result and conversion steps appear below the controls.

Closed Pipe Resonance Examples

At a sound speed of 340 m/s, a 0.5 m pipe has a fundamental of 340 / (4 ร— 0.5) = 170 Hz. Conversely, 170 Hz and 0.5 m imply 340 m/s; 340 m/s and 170 Hz imply 0.5 m.

Model Limits

This model omits end corrections. Higher ideal resonances occur at odd multiples of the fundamental. A tube open at both ends uses a different equation. Use the sound speed appropriate to the medium and conditions.