Worked example

Inputs

Module: 3 mm
Pinion teeth: 20
Gear teeth: 40
Pinion torque: 50 N·m
Pressure angle: 20 degrees

Expected results

Center distance: 90 mm
Tangential tooth force: 1666.666667 N
Radial separating force: 606.6170571 N
Speed reduction ratio: 2

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

Enter every input in the labeled units; use measured or independently specified properties.
Check the stated model assumptions before calculating.
Interpret the output as a model estimate and verify it independently for the intended application.

Try this example

{
  "module": 3,
  "z1": 20,
  "z2": 40,
  "torque": 50,
  "angle": 20
}

Accuracy and scope

Unmodified standard spur gears; geometry and nominal forces only, no tooth strength or interference assessment. Educational engineering estimate only; not structural or safety certification, equipment selection, or operating recommendations.

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