Wave Speed Calculator

Solve v = f·λ for any one of the three variables. Leave one field blank.

Leave exactly one field blank.

Formula

v = f · λ  (speed = frequency × wavelength)
Period T = 1 / f

Physics behind v = fλ

Every periodic wave — sound, light, water ripples, seismic waves — satisfies the relation v = f·λ. Imagine crests going past a fixed point: if f crests pass per second and the distance between crests is λ, then the wave has travelled f·λ metres in that second. Crucially, in a given medium the wave speed is fixed, so increasing the frequency must decrease the wavelength, and vice versa. That's why a high-pitched violin note has a shorter wavelength than a low bass note in the same air.

Worked example

f = 50 Hz, λ = 2 m

v = f·λ = 50 × 2 = 100 m/s

Related tools

Doppler Effect Snell's Law Wave Interference De Broglie Wavelength

FAQs

What is the wave equation v = fλ?

Wave speed equals frequency times wavelength.

What is the speed of sound in air?

About 343 m/s at 20 °C.

What is the speed of light?

Exactly 299,792,458 m/s in vacuum.