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For Students · Chladni Plates

Chladni Plates for a beat frequency

Built for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition. Simulate a beat frequency live below — adjust the inputs and watch it respond, right in your browser.

Chladni Plate PatternsLive

visible standing waves

Controls

Presets

Mode m

Mode n

Bow or drive a metal plate at a resonant frequency and sand sprinkled on top dances away from the moving areas and settles along the still nodal lines — Chladni figures. Each pair of mode numbers gives a different symmetric pattern, a direct, physical picture of a two-dimensional standing wave.

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Data Inspector

Mode(2, 3)

Symmetryodd

Patternnodal lines

Governing equation

cos \frac{2 π x}{L} cos \frac{3 π y}{L} - cos \frac{3 π x}{L} cos \frac{2 π y}{L} = 0

Reading this result: Modes (2, 3) sum to an odd number, breaking the diagonal symmetry so the sand figure differs across the two diagonals.

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Frequently asked questions

Is this good for students?: Yes — this version of "Chladni Plates for a beat frequency" is framed for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.