Gears

Gear Torque Ratio Calculator

Enter input torque and gear tooth counts to estimate ideal torque multiplication or reduction in a simple gear pair before losses.

Inputs

Formula

Ideal gear torque ratio

T2 = T1 * Z2 / Z1

Worked example

Using the default values shown in the calculator, the same formula gives the following result. This is a quick sanity check for the calculation, not a design recommendation.

Inputs

Input torque
20 N*m
Driver gear teeth
20 teeth
Driven gear teeth
60 teeth

Result

Ideal driven torque
60 N*m

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Frequently asked questions

Does gear reduction increase torque?

Ideally, a reduction ratio increases output torque in the same proportion that it reduces speed.

Does this include gearbox efficiency?

No. Real output torque is lower because of mesh, bearing, seal, and lubrication losses.