Engineering

Gear Ratio Calculator

Output speed and torque from gear tooth counts.

Enter your values

ⓘ Live results

Results
Gear ratio
3:1
Output speed
600 RPM
Output torque
30 N·m

Quick answer

Gear ratio = driven teeth / driver teeth; output speed = input speed / ratio.

ratio = T_driven / T_driver

How to use the Gear Ratio Calculator

  1. 1Enter the number of teeth on the driver and driven gears.
  2. 2Enter the input speed and torque.
  3. 3Read the gear ratio, output speed and output torque.

Worked example

Using the values the calculator loads with:

Inputs

  • Driver gear teeth20
  • Driven gear teeth60
  • Input speed1800 RPM
  • Input torque10 N·m

Results

  • Gear ratio3:1
  • Output speed600 RPM
  • Output torque30 N·m

Frequently asked questions

Does gear ratio change power?

No, ideal gears trade speed for torque but keep power roughly constant, minus small friction losses.

What is a reduction gear?

When the driven gear has more teeth than the driver, output speed drops and torque increases.

About this calculator

Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.