Gear Ratio Calculator

Gear Ratio (i):

Number of teeth on the driven gear (N_driven):

Number of teeth on the driving gear (N_driving):

How This Is Calculated

$$ i = \frac{N_{driven}}{N_{driver}} $$ where:

i = Gear Ratio (Dimensionless)

N_driven = Number of teeth on the driven gear (Teeth)

N_driving = Number of teeth on the driving gear (Teeth)

Assumptions

There are no energy losses (the gears are ideal).
The gears are rigid and do not deform under load.
The gear ratio remains constant.
Backlash is negligible.

Related Calculators

Angular Velocity

Efficiency of Gear Transmission

Mechanical advantage

Power Transmitted Between Gears

Torque Relationship