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Wave Speed Calculator

Quick answer

This calculator finds wave speed, period, and angular frequency from frequency and wavelength in one step.

  • Works for sound, light, and water waves.

Figures are estimates from this calculator’s standard formula — adjust the inputs in the tool below for your exact number.

How the Wave Speed Calculator Works

v = frequency x wavelength; T = 1 / frequency; angular = 2 pi x frequency

Every wave trades speed between frequency and wavelength. The tool multiplies them and adds the period and angular frequency for oscillator work.

  1. 1

    Enter frequency

    Give the wave frequency in hertz, like 440 for concert A.

  2. 2

    Enter wavelength

    Type the wavelength in meters, like 0.78 in air.

  3. 3

    Read the outputs

    See speed, period, and angular frequency.

FAQs

What is the speed of a 440 Hz wave with 0.78 m wavelength?

v = 440 x 0.78 = 343.2 m/s — the familiar speed of sound in room-temperature air.

What period does 440 Hz have?

T = 1 / 440 = 0.002273 s, about 2.27 milliseconds per vibration.

What is angular frequency for 440 Hz?

Omega = 2 pi x 440 = 2765 rad/s, used in oscillator and AC circuit math.

Can this find the speed of light?

Yes: a 5e14 Hz light wave at 6e-7 m wavelength gives v = 3e8 m/s.

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