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physics

Wave Frequency Calculator

Calculate wave frequency from wave speed and wavelength using f = v ÷ λ.

Frequency
439.7436 Hz
f = v ÷ λ — wave frequency in hertz.
In kilohertz (kHz)
0.4397 kHz
In megahertz (MHz)
0.00044 MHz

How it works

  1. 1Enter the wave speed (v) in metres per second — for example, 343 m/s for sound in air at room temperature.
  2. 2Enter the wavelength (λ) in metres — the distance between two consecutive crests.
  3. 3The calculator applies f = v ÷ λ and shows the frequency in Hz, kHz, and MHz.

Use cases

  • Find the frequency of a sound wave from its speed and measured wavelength.
  • Convert radio wavelengths to broadcast frequencies for RF and antenna design.
  • Determine the frequency of light from its speed and wavelength (convert nm → m first).

Frequently asked questions

What formula does this calculator use?

The wave equation rearranged for frequency: f = v ÷ λ, where f is in hertz (Hz), v in m/s, and λ in metres. The full equation is v = f·λ; dividing by λ gives f = v ÷ λ.

Can you show a worked example?

Sound travels at ≈ 343 m/s in air. Middle A has a wavelength of about 0.78 m. So f = 343 ÷ 0.78 ≈ 440 Hz — concert pitch A4.

Does the formula work for light and radio waves too?

Yes — f = v ÷ λ applies to all waves. For light in a vacuum use v = 3×10⁸ m/s and enter the wavelength in metres (e.g. 500 nm = 5×10⁻⁷ m).

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