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Physics

Gear ratio and torque calculator

Calculate the ratio of two gears, together with the ideal output speed and torque.

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01

Your inputs

The starting values are an example.

Decimals: 12.5 · Thousands: 1,234.56. Follow the field instructions for lists.

02

Your result

Enter your values and select Calculate.

Your calculation will appear here.

Your result will include the relevant values and units.

Understand the calculation

Formula and example

How it is calculated

i = Z₂/Z₁; n₂ = n₁/i; M₂ = M₁ × i for a lossless transmission

Worked example

A 20-tooth gear drives a 60-tooth gear: i = 3, so 900 rpm becomes 300 rpm and 10 N·m ideally becomes 30 N·m.

Things to check

  • Two externally meshing gears rotate in opposite directions.
  • Friction reduces the transmitted torque. For multiple stages, multiply the individual gear ratios.