Wave Speed Calculator
Calculate wave speed from frequency and wavelength, for sound, light or any wave.
Please note: Results come from idealised models that assume clean, standard conditions. Real measurements deviate, and published constants carry their own tolerances. Use these for study and estimation, not for engineering sign-off.
What the Wave Speed Calculator does
The wave equation ties speed, frequency and wavelength together: one wavelength passes any point every period, so speed is simply frequency times wavelength. It applies universally, from radio waves to ocean swells.
Formula
v = f × λT = 1 ÷ f (period)ω = 2πf (angular frequency)k = 2π ÷ λ (wave number)
Inputs explained
| Input | Unit | Required | Notes |
|---|---|---|---|
| Frequency | number | Yes | — |
| Frequency unit | one of 5 options | Yes | — |
| Wavelength | number | Yes | — |
| Wavelength unit | one of 9 options | Yes | — |
| Compare against | one of 6 options | Optional | — |
How to use it
- Choose Frequency unit and Wavelength unit.
- Enter Frequency and Wavelength.
- Select Calculate.
Worked example
A sound wave with a frequency of 500 Hz and a wavelength of 0.686 m.
- Frequency
- 500 Hz
- Wavelength
- 0.686 m
v = 500 × 0.686 = 343 m/s — the speed of sound in air at 20 °C.
Frequently asked questions
Does a higher-pitched sound travel faster?
No. All frequencies travel at the same speed in a given medium, which is why an orchestra arrives in time with itself from across a hall. Higher pitch simply means a shorter wavelength.
Why does sound travel faster in water than in air?
Water is far stiffer — much harder to compress. Speed depends on the ratio of stiffness to density, and the stiffness gain more than offsets the extra density.