Science & engineering

Wavelength calculator

Relate wavelength to wave speed and frequency.

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Behind the numbers

How this calculation works

A wave travels one wavelength during one period. Use the speed of the wave in the actual medium, not an assumed universal speed. The default 340 m/s is an example input.

THE FORMULAWavelength = wave speed ÷ frequency

A worked example

A wave traveling at 340 m/s with frequency 170 Hz has a wavelength of 2 m.

Good to know

Assumes the idealized model described above. Use consistent units and independently verify figures before a consequential decision.

A little curiosity

Double the frequency and the wavelength halves

At a fixed wave speed, frequency and wavelength are inversely related. A wave traveling at 340 m/s has wavelength 2 m at 170 Hz and 1 m at 340 Hz. The speed is unchanged; more cycles fit into each second and into a given distance.

The relationship also shows why a frequency by itself cannot determine wavelength without a propagation speed. The medium and wave type matter.

The default speed is an example, not a universal constant

Do not use a sound-speed example for light or assume a material’s wave speed is independent of conditions. Enter the appropriate phase speed for the wave and medium being modeled.

Hertz means cycles per second. Convert kilohertz or megahertz before entering a frequency in hertz. This simple relation does not model changes of speed with frequency in a dispersive medium.

A few questions, answered

Can frequency be zero?

No. A finite wavelength is not obtained by dividing wave speed by zero frequency.

Is wavelength the distance traveled in one second?

No. It is the spatial length of one cycle. Distance traveled in one second is determined by wave speed.

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