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Gear Ratio Calculator

Ratio, output speed and torque.

Reviewed by James Whitfield · How we check our maths

Your values

ⓘ Live results

Results
Gear ratio
3:1
Output speed
583 rpm
Output torque
36 Nm
Mechanical advantage
3

Quick answer

Gear ratio is driven teeth divided by driving teeth; it trades speed for torque.

The formula

Ratio = driven teeth ÷ driving teeth

Worked example

Worked example

Using the values the calculator loads with.

Inputs

  • Driving gear teeth18
  • Driven gear teeth54
  • Input speed1750 rpm
  • Input torque12 Nm

Result

  • Gear ratio3:1
  • Output speed583 rpm
  • Output torque36 Nm
  • Mechanical advantage3

How to use the Gear Ratio Calculator

  1. 1Enter the tooth count of both gears.
  2. 2Enter input speed and torque.
  3. 3Read the output speed and torque.

Frequently asked questions

Does a gearbox create power?

No — torque rises only as speed falls, minus friction losses.

What is overdrive?

A ratio below 1:1, which raises speed and reduces torque.

About this calculator