i = z₂/z₁

Gear ratio from tooth counts

More teeth on the driven gear reduce speed and ideally increase torque.

MINTSI
01

Inputs

Ratio of input to output speed.

Teeth on the driving gear.

Teeth on the driven gear.

02

Result

Select a target and calculate.

Calculation

i = z₂ / z₁

More teeth on the driven gear reduce speed and ideally increase torque.

Understand the inputs
  • Gear ratio iRatio of input to output speed.
  • Pinion teeth z₁Teeth on the driving gear.
  • Gear teeth z₂Teeth on the driven gear.
Example

20/50 teeth give i = 2.5.

Assumptions and limits

Ideal external gearing without slip or losses.

Sources