Wave Speed Calculator

Explore wave motion with flexible calculation modes here. Switch units, validate inputs, and see steps. Download tables in CSV and PDF for sharing easily.

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Tip: Pick the mode that matches your system.

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Formula used

General: v = f × λ for periodic waves.
String: v = √(T/μ) with tension T and linear density μ.
Sound: v = √(γRT/M) with adiabatic index γ, gas constant R, temperature T, molar mass M.
Shallow water: v = √(g h) with gravity g and depth h.

How to use this calculator

Select a mode that matches your wave system.
Enter the required inputs and choose their units.
Pick your preferred output units when available.
Press Calculate to view results above the form.
Use Download CSV or Download PDF for reports.

Example data table

Scenario	Inputs	Output wave speed
General relation	f = 500 Hz, λ = 0.68 m	v = 340 m/s
Wave on a string	T = 120 N, μ = 0.010 kg/m	v ≈ 109.545 m/s
Sound in air	γ = 1.4, T = 20 °C, M = 28.97 g/mol	v ≈ 343.2 m/s
Shallow water	h = 2.5 m, g = 9.80665 m/s²	v ≈ 4.952 m/s

Symbols: v = wave speed, f = frequency, λ = wavelength, T = tension, μ = linear density, γ = adiabatic index, R = gas constant, M = molar mass, g = gravity, h = depth.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.