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Physics Tools · Updated October 21, 2026 · Reviewed by FormatFlow Editorial

Wave Speed Calculator

You can calculate wave speed, frequency or wavelength from the other two values, with hertz, kilohertz, megahertz, gigahertz and meter-based units, plus the period of the wave.

Runs in your browserFree · No sign-up · No watermark
f, λ → vRuns in your browser
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Everything runs locally in this tab. No file is uploaded while the tool loads.

This tool runs in your tab. Nothing is uploaded and no copy is stored.

How files are handled

At a glance

Works with
f, λ → v
Processing
In your browser
Price
Free, no account
Updated
October 21, 2026
All Physics Tools

About Wave Speed Calculator

Frequency and wavelength describe the same wave from two angles. The wave speed is their product, v = f × λ, so a 440 Hz tone with a 0.78 m wavelength travels at about 343 m/s in air. Rearranging the same equation gives frequency from speed and wavelength, or wavelength from speed and frequency, depending on what you have measured.

This calculator solves any of the three directions, converts hertz, kilohertz, megahertz and gigahertz as well as meters, centimeters, millimeters and nanometers, and reports the period T = 1/f alongside the answer. It also makes the important point that the medium fixes the speed, so the relation cannot predict it by itself.

What this tool does

The details that matter when you use Wave Speed Calculator for real work.

  • Three solve directions

    Calculate speed from frequency and wavelength, frequency from speed and wavelength, or wavelength from speed and frequency.

  • Wide frequency units

    Hertz, kilohertz, megahertz and gigahertz, all converted to hertz before the formula runs.

  • Wavelength units

    Meters, centimeters, millimeters and nanometers, with the result displayable in any of them.

  • Period included

    The period T = 1/f is shown in seconds, milliseconds, microseconds or nanoseconds as appropriate.

  • Speed in m/s and km/h

    The wave speed is reported in meters per second with a kilometers-per-hour equivalent.

  • Formula and substitution

    v = f × λ and T = 1/f are printed with the converted values inserted, so the result can be checked by hand.

How to use Wave Speed Calculator

No account, no installation — the whole job happens in this browser tab.
  1. 01

    Choose what to solve for

    Select speed, frequency or wavelength depending on the missing quantity in your problem.

  2. 02

    Enter the two known values

    Type the frequency, wavelength or speed you already have; decimals and scientific notation are accepted.

  3. 03

    Pick the units

    Choose the Hz family for frequency, meters or a metric sub-unit for wavelength, and m/s or km/h for speed.

  4. 04

    Read the result and period

    The headline gives the answer in your chosen unit, and the cards show the period and the other wave quantities.

  5. 05

    Check the working

    The formula panel shows the conversion to SI units and the substituted values; press Reset to start another wave.

How this tool works

Works with
f, λ → v
Processing
Client-side, in your browser. Nothing is uploaded.
Requirements
Chrome, Edge, Firefox or Safari · JavaScript enabled

Limitations worth knowing

  • The relation v = f × λ is applied directly; the medium determines the actual speed, which must be supplied or known.
  • Units are metric (Hz to GHz, meters to nanometers, m/s and km/h); imperial wavelength units are not included.
  • Assumes a steady periodic wave, so the period does not describe a one-off pulse or a changing frequency.

Privacy and file handling

Frequency, wavelength and speed values are processed entirely in your browser. Nothing is uploaded, stored or logged, and the calculator makes no network request.

Read the full privacy policy

Wave Speed Calculator FAQ

Short, direct answers to the questions people ask before using this tool.
What is the relationship between wave speed, frequency and wavelength?
Wave speed equals frequency multiplied by wavelength: v = f × λ. Frequency is in hertz, wavelength in meters and speed in meters per second. Knowing any two lets you calculate the third, which is exactly what this tool does after converting the units.
What is the period of a wave?
The period is the time for one complete cycle, T = 1 ÷ f. A 250 Hz wave has a period of 0.004 seconds, or 4 ms. Period and frequency are reciprocals, so a higher frequency always means a shorter period.
Does wave speed depend on wavelength?
In a given medium, the speed is set by the medium's properties, such as tension and density for a string or elasticity and density for sound. Frequency and wavelength then trade off to keep the product equal to that speed; the wavelength alone does not change the speed.
What happens to frequency and wavelength when a wave enters a new medium?
The frequency is determined by the source and usually stays the same, while the speed changes with the new medium. Because v = f × λ and f is fixed, the wavelength must change in proportion to the speed, which is the basis of refraction.
How do I convert kilohertz to hertz?
Multiply by 1,000: 2 kHz is 2,000 Hz, and 1 MHz is 1,000,000 Hz. You can select the unit in the calculator instead of converting by hand, and the value is converted to hertz before the formula runs.
What is the difference between wave speed and particle speed?
Wave speed is how fast the disturbance travels through the medium, while particle speed is how fast an individual element of the medium oscillates about its rest position. For a sound wave the two are different quantities, and the wave can travel much faster than the particles move.
Can I use this calculator for light waves?
Yes. Light in a vacuum travels at about 3.0 × 10⁸ m/s, so a 600 nm wavelength corresponds to a frequency near 5.0 × 10¹⁴ Hz. In glass or water the speed is lower, and the wavelength shortens while the frequency stays the same.
Why must frequency and wavelength be positive?
A negative or zero frequency or wavelength does not describe a physical wave, and a zero or negative divisor makes the rearranged formulas undefined. The calculator reports an error instead of returning a meaningless number so the input can be corrected.

Background reading

Format guides that explain the trade-offs behind Wave Speed Calculator.