Wave Speed Calculator

Relate wave speed, frequency and wavelength for any wave type.

About Wave Speed Calculator

Wave speed is set by the medium, so frequency and wavelength are inversely related within it. A 440 Hz note in air has a wavelength of about 0.78 m. Because speed is fixed by the medium, raising frequency shortens wavelength proportionally — the basis of everything from antenna design to acoustics.

Formula

Wave Speed

v = f λ

f: Frequency in hertz
λ: Wavelength in metres

Worked example

With the default values below, Wave Speed Calculator returns Wave Speed of 343.200. Change any input above and every figure here is recalculated in your browser.

Inputs used

Frequencyminimum 0 Hz: 440 Hz
Wavelengthminimum 0 m: 0.78 m
Known speed in the mediumminimum 0.01 m/s: 343 m/s

Results

Wave Speed: 343.200 m/s
Wavelength at the Medium Speed: 0.77955 m
Frequency at the Medium Speed: 439.744 Hz
Wave Period: 0.002273 s
Wavenumber: 8.0554 1/m

Step by step

1Values used
2Wave Speed
3Wave Speed= 343.200 m/s
4Wavelength at the Medium Speed= 0.77955 m
5Frequency at the Medium Speed= 439.744 Hz
6Wave Period= 0.002273 s
7Wavenumber= 8.0554 1/m

Assumptions and limits

The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax or fees or charges into account.
Figures are rounded for display to 6 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

How is Wave Speed calculated?

v = f λ Wave speed is set by the medium, so frequency and wavelength are inversely related within it. A 440 Hz note in air has a wavelength of about 0.78 m.

Why does Wave Speed matter?

Because speed is fixed by the medium, raising frequency shortens wavelength proportionally — the basis of everything from antenna design to acoustics.

What values do I need to enter?

This calculator takes 3 inputs: Frequency, Wavelength, Known speed in the medium. The pre-filled defaults are a realistic starting point — replace them with figures from your own environment for a result you can act on.