M₂ = M₁·i·η

Gearbox output torque

Reduction increases torque with ratio; losses reduce usable output.

MINTSI
01

Inputs

Usable output shaft torque.

Torque at input shaft.

Speed ratio n₁/n₂.

Fraction of ideal power transmitted.

02

Result

Select a target and calculate.

Calculation

M₂ = M₁ · i · η

Reduction increases torque with ratio; losses reduce usable output.

Understand the inputs
  • Output torque M₂Usable output shaft torque.
  • Input torque M₁Torque at input shaft.
  • Gear ratio iSpeed ratio n₁/n₂.
  • Efficiency ηFraction of ideal power transmitted.
Example

100 N·m · 2.5 · 95% = 237.5 N·m.

Assumptions and limits

Constant ratio; load peaks and gear-face factors are excluded.

Sources