Catch a wave

Traveling wave explorer, explained.

A wave carries a disturbance. In a transverse wave, a medium particle moves perpendicular to the direction of propagation. One wavelength separates neighboring crests, and frequency counts cycles per second.

0 m12 mOrange particle stays at x = 4 mWave travels right

The relationship to remember

v = fλ · y = A sin(2π(x/λ − ft))

A worked example

A frequency of 0.5 Hz and wavelength of 4 m give wave speed 2 m/s and period 2 s.

Inside the default experiment

  1. Wave speed = frequency × wavelength = 0.5 × 4 = 2 m/s.
  2. Period = 1/f = 2 s.
  3. Particle displacement is y = 1 sin(2π(x/4 − 0.5t)).

When this model applies

An ideal transverse sinusoidal wave. Frequency and wavelength are independently set; wave speed changes with their product.

Make a prediction. Then test it.

Track the orange particle. Does it travel along with the wave?

Try the interactive experiment ↗
A little question. A clearer picture.

Frequently asked questions

Wondering about the why? Start here.

Does increasing amplitude make the wave faster?

Not in this ideal model. Speed is set by fλ; amplitude changes the size of the displacement.

Can frequency and wavelength vary independently in a real medium?

In a nondispersive medium with fixed wave speed, their product stays constant. This explorer allows both inputs so you can compare the resulting speeds.