Gear Train

Interactive simulation — adjust parameters and watch the visualization update in real time.

How it works

A **serial** gear train: neighboring gears mesh, so line speed at the pitch circle matches. Angular speeds satisfy **Ļ‰įµ¢ā‚Šā‚ = āˆ’Ļ‰įµ¢ (Tįµ¢/Tįµ¢ā‚Šā‚)**. Intermediate tooth counts cancel in the overall **speed ratio**: **|ω_out/ω_in| = T_first/T_last**. For ideal power (no slip, no losses), **Ļ„_out/Ļ„_in ā‰ˆ T_last/T_first** — trade speed for torque.

Key equations

Ļ‰įµ¢ā‚Šā‚ = āˆ’Ļ‰įµ¢ Ā· (Tįµ¢ / Tįµ¢ā‚Šā‚), Ā  P = τω ā‰ˆ const