Gear Ratio Calculator

Calculate the ratio and output speed for a simple external gear pair.

Driver gear teeth: 20 teeth
Live concept view — geometry scales with the entered design condition.

Design inputs

Enter known values using the units shown. Results and the live SVG view update immediately.

PRELIMINARY RESULT

Gear ratio3.000 : 1
Driven speed
480.00 RPM

Calculation detail

Formula: i = Z₂ / Z₁; N₂ = N₁ / i

The output speed is obtained from the tooth-count ratio for an ideal simple gear pair.

Gear Ratio Calculator: operating questions

Does the calculated ratio include gearbox losses?

No. Tooth count fixes the ideal kinematic ratio. Bearing, seal and mesh losses reduce transmitted power and torque efficiency but do not change the ideal speed ratio used here.

Can any tooth-count combination be manufactured?

No. Module, pressure angle, centre distance, undercut, contact ratio, profile shift, backlash and strength must be checked before releasing a gear pair.

Why can measured output speed differ from the result?

Motor slip, controller regulation, belt slip, tachometer uncertainty and additional stages can change the measured operating speed. Use speed and tooth counts from the same drive condition.

Illustrative input values and units
ParameterUnitExample
Driver gear teethteeth20
Driven gear teethteeth60
Driver speedRPM1440