This simulator animates a single traveling sine wave and lets you independently set its frequency and propagation speed. Wavelength is never set directly — it is always computed live from λ = v/f, exactly as the wave equation requires, and the display marks out one full wavelength plus a traveling crest marker so you can see the relationship in real time.
• A live animated traveling sine wave with adjustable frequency, speed and amplitude. • A marked one-wavelength span on the waveform, updating instantly as you move any slider. • A traveling crest marker showing exactly how far the wave front advances in real time at the chosen speed. • Live readouts for computed wavelength, period, and the full v = f × λ equation filled in with your current numbers.
For a wave in a given medium, speed is usually set by the medium's physical properties, and frequency is set by whatever is driving the wave (a hand shaking a rope, a tuning fork, a radio transmitter). Wavelength then falls out as whatever value makes v = fλ true. Raise frequency while speed stays fixed, and wavelength must shrink; slow the wave down while frequency stays fixed, and wavelength must shrink too. This simulator lets you feel both cases independently.
v = f × λ — wave speed equals frequency multiplied by wavelength. This simulator lets you set frequency and speed directly, then computes and displays the resulting wavelength live.
Wavelength is cut in half. Since v = fλ and v is held fixed, wavelength is inversely proportional to frequency — doubling one halves the other.
Wavelength doubles. With frequency fixed, wavelength is directly proportional to speed.
It is a simplified 1D sinusoidal traveling wave in a uniform, lossless, non-dispersive medium — there is no attenuation, reflection, or frequency-dependent speed (dispersion) included.