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How to Calculate Wave Speed

What is Wave Speed?

Wave speed is the rate at which a wave propagates through a medium. The fundamental wave equation v = fλ relates wave speed (v), frequency (f), and wavelength (λ). It applies to all wave types: sound, light, radio, water, seismic, and string waves. For electromagnetic waves in vacuum, v = c = 3 × 10⁸ m/s (the speed of light).

Formula

v = f × λ (wave speed = frequency × wavelength)
v
speed / frequency) — speed / frequency)

Step-by-Step Guide

  1. 1v = f × λ (wave speed = frequency × wavelength)
  2. 2f = v / λ (frequency = speed / wavelength)
  3. 3λ = v / f (wavelength = speed / frequency)
  4. 4Speed of sound in air at 20°C ≈ 343 m/s
  5. 5Speed of light in vacuum = 299,792,458 m/s ≈ 3×10⁸ m/s

Worked Examples

Input
Middle A (440 Hz), sound in air (343 m/s)
Result
λ = 343/440 = 0.78 m
Wavelength of a musical note
Input
FM radio station 100 MHz
Result
λ = 3×10⁸/10⁸ = 3 m
FM waves are ~3 metres long
Input
Earthquake P-wave (6000 m/s), 2 Hz
Result
λ = 3000 m = 3 km

Frequently Asked Questions

What is Wave Speed?

Wave speed is the rate at which a wave propagates through a medium. The fundamental wave equation v = fλ relates wave speed (v), frequency (f), and wavelength (λ)

How accurate is the Wave Speed calculator?

The calculator uses the standard published formula for wave speed. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.

What units does the Wave Speed calculator use?

This calculator works with inches, Celsius, watts. You can enter values in the units shown — the calculator handles all conversions internally.

What formula does the Wave Speed calculator use?

The core formula is: v = f × λ (wave speed = frequency × wavelength). Each step in the calculation is shown so you can verify the result manually.

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