Mechanical calculator

Gear Ratio and Speed Calculator

Calculate output speed, rotation direction and the theoretical change in torque for a simple gear train.

Formula

Output speed = driver speed × driver teeth ÷ driven teeth

An idler gear changes rotation direction, but it does not change the ratio unless it shares a shaft with another gear.

Common mistakes

  • Reversing the driver and driven gear.
  • Treating an idler as though it changes the ratio.
  • Forgetting that every external gear mesh reverses direction.
  • Assuming gears with different pitch or module can mesh.
Goldie holding up a hand to stop

This is the ratio, not a gear design

The calculator does not determine tooth strength, gear compatibility, lubrication, backlash, shaft load or safe speed.

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