Free Gear Ratio Calculator

Calculate gear ratio, output speed, and output torque for a simple gear pair.

RPM
N-m

Gear Ratio

3.000

Output Speed600.0 RPM
Output Torque (ideal)150.0 N-m

Gear Ratio vs Driver Gear Teeth (N1)

Gear Ratio Fundamentals

Gears trade speed for torque (or vice versa) while transmitting rotational power.

Formulas

Gear Ratio = N2 / N1 (driven teeth / driver teeth)

Output Speed = Input Speed / Gear Ratio

Output Torque = Input Torque x Gear Ratio (assuming no losses)

A ratio greater than 1 is a speed reduction (torque multiplication). A ratio less than 1 is a speed increase (torque reduction).

Example Calculation

A 20-tooth driver meshing with a 60-tooth driven gear, input 1800 RPM at 50 N-m.

  1. 01Gear ratio = 60 / 20 = 3.0 (speed reduction)
  2. 02Output speed = 1800 / 3.0 = 600 RPM
  3. 03Output torque = 50 x 3.0 = 150 N-m (ideal)
  4. 04Actual torque is slightly less due to mesh efficiency (typically 95-99% per stage).

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