PPolySim OS
For K-12 Students · Standing Waves

Standing Waves for a golf drive

Built for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework. Simulate a golf drive live below — adjust the inputs and watch it respond, right in your browser.

Standing Waves on a StringLive

Controls

A string fixed at both ends can only vibrate at its harmonics. Each mode n has n+1 nodes (pink) that stay still while the antinodes swing — the physics of every stringed instrument.

Presets

▶ Run in Python

Data Inspector

Harmonicn = 3
Frequency330 Hz
Nodes4
Antinodes3
Wavelength2L/3

Governing equation

Reading this result: 3 half-wavelengths fit the string, so there are 3 antinodes (max swing) and 4 nodes (fixed points). At harmonic n = 3 the string sings at 330 Hz — exactly 3× the 110 Hz fundamental, and the wavelength is 2L/3.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

or unlock everything with Pro →

More with Standing Waves

Frequently asked questions

Is this good for k-12 students?
Yes — this version of "Standing Waves for a golf drive" is framed for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework.
Do I need to install anything?
No. It runs in any modern browser, free, with no account required.