Wave Speed Calculator

Waves carry energy through media without bulk transport of matter — ocean swells, radio signals, and sound in air all propagate as disturbances obeying the same fundamental speed relationship. Whether you tune a guitar string, design an antenna, or estimate thunder delay after lightning, linking frequency, wavelength, and speed is essential wave physics.

The universal wave equation:

v = f × λ

Where v is wave speed, f is frequency in hertz (cycles per second), and λ is wavelength in meters. Equivalently f = v/λ and λ = v/f. For mechanical waves in strings: v = √(T/μ) with tension T and linear density μ. Sound in air near room temperature: v ≈ 343 m/s.

Enter any two of speed, frequency, and wavelength to find the third. Electromagnetic waves in vacuum travel at c ≈ 3 × 10⁸ m/s regardless of frequency — higher frequency means shorter wavelength, not faster light. Sound speed depends on medium and temperature; it is faster in water (~1,480 m/s) than air.

Worked example: Middle C on a piano is 261.6 Hz. In air at 20°C (v ≈ 343 m/s), λ = 343/261.6 ≈ 1.31 m. A 100 MHz FM radio wave in vacuum has λ = 3×10⁸ / 10⁸ = 3 m. Ocean swell at 0.1 Hz with 150 m wavelength implies v = 0.1 × 150 = 15 m/s for the wave crest propagation.

Use the frequency-to-wavelength converter for EM spectrum work, the speed-of-sound tool for acoustic engineering, and the pressure calculator when sound intensity ties to medium properties. Wave speed underpins seismology, fiber optics, and medical ultrasound imaging.