Mechanical engineering and manufacturing · Machines and mechanisms

Simple gear pair output speed

Estimate output speed for one ideal external gear pair from tooth counts and input rotational speed.

Published · R0

Method and scope

n₂ = n₁ × z₁/z₂.

Use simple gear pair output speed for educational calculation or a clearly scoped arithmetic estimate. Intended for Learners, General educational use.

Inputs
  • Input rotational speed — rpm, rad/s
  • Driver gear tooth count — 1
  • Driven gear tooth count — 1
SOURCE AND LIMITS

Assumptions: The gears are an ideal external pair with compatible pitch and no slip. Input speed is stated as a positive magnitude.

Limitations: Real gear trains have losses and may include compound stages not represented here.

Method version 1.0.0 · Unit registry and result provenance are shown after calculation. This tool is limited to the documented scope.
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