Calculation details
Review the generated output before relying on it.
This tool runs in your browser. Your calculator inputs and results are never transmitted to us or to ad/affiliate partners. Ads and sponsored links may set third-party cookies to serve and measure them, but they never receive your calculation values. If you explicitly save a scenario, its permitted fields stay in local browser storage until you clear them. See our Privacy Policy.
Use this result
Share the current inputs or ask ChatGPT to explain the calculation in context.
What does this calculator estimate?
A wave at 50 Hz with a 2-meter wavelength travels at 100 m/s: speed = 50 x 2 = 100 m/s. Wave speed equals frequency times wavelength.
- Wave speed (m/s) = frequency (Hz) x wavelength (m).
- Higher frequency at the same speed means a shorter wavelength.
- The hertz is one cycle per second (NIST).
What the wave equation describes
All waves obey v = f × λ: the product of how often crests pass (frequency) and how far apart they are (wavelength) gives the wave's speed. It links sound, light, water, and radio waves.
Limitations to watch for
The tool computes the product for the two values you enter — it assumes they're consistent (Hz and meters give m/s). The speed of a wave depends on the medium, not the source, so changing frequency changes wavelength at a fixed speed.
How to use it in practice
Measure or look up the frequency and wavelength, then multiply. For sound and light in different media, use the medium's speed to find the other variable.
['Enter the frequency in Hz.', 'Enter the wavelength in meters.', 'The tool computes v = f × λ in m/s.']
How this calculator works
Formula
Wave speed v = f × λ, where f is frequency (Hz) and λ is wavelength (m). Rearranged: f = v ÷ λ, λ = v ÷ f.
Worked example
A wave with frequency 50 Hz and wavelength 2.0 m: v = 50 × 2.0 = 100 m/s.
Assumptions to verify
- The frequency and wavelength describe the same wave.
- Units are Hz and meters.
- No medium-dispersion correction is applied.
Frequently asked questions
What is the wave equation?
v = f × λ — wave speed equals frequency times wavelength. 50 Hz × 2 m = 100 m/s.
How do I find wavelength from speed and frequency?
λ = v ÷ f. For a 100 Hz sound in air (343 m/s), λ = 3.43 m.
What units does this use?
Hertz (s⁻¹) for frequency, meters for wavelength, m/s for speed. Any consistent units work.
What is the speed of sound?
About 343 m/s in air at 20°C — it depends on the medium and temperature, not the frequency.
What is the speed of light?
About 3×10⁸ m/s in vacuum — constant for all frequencies, which is why higher frequencies mean shorter wavelengths.
Why do I hear a siren change pitch?
The Doppler effect: relative motion changes the received frequency. The wave speed in air stays the same.
Does this apply to radio?
Yes — radio engineers use v = f × λ to size antennas: at 100 MHz, λ = 3 m.
Cite this tool
BoringToolsKit. “Wave Calculator.” boringtoolskit.com/wave-calculator/ (reviewed 2026-08-25). Free to reference in articles, syllabi, and answer posts with a link.
Privacy: Inputs and results stay in this browser. Any future sponsored recommendation or advertisement will be clearly labeled and kept separate from the calculation.