Gear Train

Mesh up to four gears. Ratios, output speed and torque, animated.

0/3challenges

Gear 1 teeth (input)

Gear 2 teeth (output)

Input speedrpm

Input torqueN·m

Efficiency per mesh%

Ratio: 2.500 : 1
Output speed: 24.0rpm
Output torque: 24.50N·m
Direction: Reversed
Power in: 62.8W
Power out: 61.6W

The model

Meshing gears share the same pitch-line speed, so ω₁ z₁ = ω₂ z₂: speed falls in proportion to tooth count while torque rises. Each mesh reverses direction.

In a simple train every gear sits on its own shaft, so the middle gears are idlers: the overall ratio is z_last / z_first no matter what is in between. Idlers only flip the direction and cost efficiency.

Power out = power in × η per mesh. Torque is power over angular speed.

Assumes rigid spur gears of module 2 mm with constant mesh efficiency and no backlash. Teeth are drawn as trapezoids, not true involutes. Educational model, not an engineering design or validation tool.

Achievements0/3

Torque monster +20Build a reduction of 10:1 or more.
Overdrive +20Build a ratio under 0.2:1.
Idler +20Make the output turn the same way as the input.

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