HomePhysics & MechanicsDimensional Analysis Balance

Dimensional Analysis Balance

Build both sides of a physics equation from real SI quantities and watch a 3D balance scale verify dimensional homogeneity live — the same M/L/T exponent check engineers use for simulation quality control.

Physics & Mechanics3DEasy60 FPS📱 Mobile-adapted⇄ 2D version
quality-control ↗ Open standalone

Quality control for a physics simulation starts before a single number is computed: does the equation even balance dimensionally? This simulator turns that check into a physical 3D balance scale — pick a quantity for the left pan and one or two quantities for the right pan from a library of real mechanical quantities (force, energy, pressure, momentum, and more), and watch the beam settle under a genuine damped rotational-oscillator simulation while a separate, exact verdict tells you whether the SI base-unit exponents of mass, length and time actually match. Try F = m·a (valid) versus F = m·v (invalid) to see both a physically satisfying beam motion and a hard pass/fail dimensional-homogeneity check side by side — the same discipline engineers use to catch a broken formula before it ever produces a plausible-looking but wrong result.

⚙ Under the hood

Build both sides of a physics equation from real SI quantities and watch a 3D balance scale verify dimensional homogeneity live — the core quality-control check behind trusting any simulation's output.

dimensional analysisunitsquality controlSI unitsverificationphysics

3D · Three.js / WebGL renderer · 60 FPS target · runs fully client-side, no install

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