Wave Speed Calculator
Last updated: June 2026
Formula
Wave speed v = frequency f x wavelength lambda. Rearrange to f = v / lambda or lambda = v / f.
| Type | Speed | Typical wavelength |
|---|---|---|
| Sound in air | 343 m/s | ~0.78 m at 440 Hz |
| Light in vacuum | 3 x 10^8 m/s | 400-700 nm visible |
| Radio waves | 3 x 10^8 m/s | mm to km |
| Seismic P-wave | ~6,000 m/s | varies |
About this calculator
The Wave Speed Calculator solves wave speed, frequency, or wavelength using v = f lambda. It is useful for sound waves, electromagnetic spectrum examples, radio questions, and school physics wave calculations.
Wave equation
Wave speed equals frequency multiplied by wavelength. The calculator converts frequency, speed, and wavelength units before solving the missing value.
- v = f x lambda
- f = v / lambda
- lambda = v / f
How to use the wave speed calculator
- Choose whether to find speed, frequency, or wavelength.
- Enter the two known values.
- Select units such as Hz, kHz, m, cm, or nm.
- Review the SI result.
- Compare with common wave references.
- Use scientific notation for very large or small values.
Worked examples
Sound at concert A
Input: Frequency 440 Hz, speed 343 m/s
Calculation: lambda = 343 / 440
Result: About 0.78 m
Visible light
Input: Frequency 6 x 10^14 Hz, speed 3 x 10^8 m/s
Calculation: lambda = v / f
Result: About 500 nm
Transverse and longitudinal waves
Sound in air is longitudinal, while many electromagnetic wave examples are transverse. The same speed-frequency-wavelength relationship still applies.
Common wave references
| Wave | Typical speed |
|---|---|
| Sound in air | 343 m/s |
| Light in vacuum | 3 x 10^8 m/s |
| Seismic P-wave | ~6,000 m/s |
Wave model limitation
Wave speed can depend on medium, temperature, material properties, and dispersion. Use measured or course-provided values for precise work.
Frequently asked questions
What does lambda mean?
Lambda is the wavelength, the distance between matching points on a wave.
What is frequency?
Frequency is cycles per second, measured in hertz.
Does sound always travel at 343 m/s?
No. That is an approximate value for air near room temperature.
Can wavelength be very small?
Yes. Visible light wavelengths are hundreds of nanometres.
Is wave speed always constant?
No. It depends on the medium and wave type.
Related calculators
- speed-calculator
- frequency-converter
- scientific-notation-calculator
What does this mean?
This calculator is designed to help you understand the likely number before you make a decision or start an application.
Your result should be checked against official UK guidance, especially if your circumstances include dependants, exemptions, prior leave, or a complex immigration history.
Treat the figure as a planning tool rather than legal advice. Where the answer affects an application deadline or major payment, speak to an authorised adviser.
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