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Wavelength Calculator

Wavelength from frequency (or the reverse) for sound, light or any wave speed.

By CalcHub Editorial · Last reviewed

Quick answer

  • Formula: λ = v ÷ f; f = v ÷ λ
  • Worked example — Wavelength: 0.779545 m (full example below).

Wavelength Calculator

Only used when 'Custom speed' is selected above.
Ignored in 'Frequency' mode — it is the value being solved for.
Ignored in 'Wavelength' mode — it is the value being solved for.
Worked example result
Wavelength0.779545 m
Frequency440.0000 Hz
Wave speed used343.00 m/s

Concert A (440 Hz) has a wavelength of about 0.780 m in air at 20 °C.

Diagram: how the Wavelength Calculator works — you enter Solve for, Wave speed, Custom speed, Frequency, Wavelength; it applies the formula λ = v ÷ f; f = v ÷ λ; and the worked example gives Wavelength: 0.779545 m.
How the Wavelength Calculator works — the inputs, the formula, and a worked example (Wavelength: 0.779545 m).

Every wave obeys v = f × λ: wave speed equals frequency times wavelength. Give any two of the three quantities and the third follows.

Presets cover sound in dry air at 20 °C (343 m/s) and light in vacuum (c = 299,792,458 m/s exactly), or enter a custom speed — for example about 1,480 m/s for sound in water.

The formula

λ = v ÷ f; f = v ÷ λ

Worked example

Concert A (440 Hz) has a wavelength of about 0.780 m in air at 20 °C.

Worked example for the Wavelength Calculator: with Solve for Wavelength — from frequency, Wave speed Sound in air at 20 °C (343 m/s), Custom speed 1480, the result is Wavelength: 0.779545 m; Frequency: 440.0000 Hz.
The worked example, with the example values entered and the results they give.

The example is pre-loaded in the result panel — press Calculate with your own numbers to replace it.

Frequently asked questions

What is the wavelength of FM radio?

FM broadcasts around 100 MHz. With light mode selected, 100,000,000 Hz gives λ ≈ 3.0 m — which is why FM antennas are roughly that scale.

Does the speed of sound change with temperature?

Yes — about 331 m/s at 0 °C, rising roughly 0.6 m/s per degree. This calculator's preset uses the standard 343 m/s at 20 °C; use a custom speed for other temperatures.

Category: Science calculators

Sources & methodology

This calculator applies the formula shown on this page exactly as written, using the standard definitions for its inputs. Results are computed from the values you enter — no data is stored — and are rounded only for display.

Content last reviewed by CalcHub Editorial.

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