Speed · torque · power transfer

Ideal gear ratio

Inputs

Driver teethz₁teethTooth count of the input gear in one external gear pair.

Driven teethz₂teethTooth count of the output gear in the same pair.

Input speedn₁Constant driver rotational speed.

Input torqueT₁Steady driver torque.

Transmission efficiencyη%User-entered efficiency from 0 to 100.

Speed reduction ratio

Ideal output speed

600

Efficiency-adjusted output torque

49.68

Input mechanical power

3.3929

i = z₂/z₁; n₂ = n₁/i; T₂ = T₁iη

A first-pass number, not a code check, certification, or approval. Read the method and its limits below. What this is and is not.

Calculation snapshot

Formula version 1.0.0

Speed reduction ratio	3 :1
Ideal output speed	600 rpm
Efficiency-adjusted output torque	49.68 N·m
Input mechanical power	3.3929 kW

i = z₂/z₁ · n₂ = n₁/i · T₂ = T₁iη

Motion-control gear-ratio context: https://www.motioncontroltips.com/how-do-gearmotors-impact-reflected-mass-inertia-from-the-load/

This printout is a record of displayed inputs and deterministic formula output. It is not an approval, certification, or engineering conclusion.

Method

Resolve ideal output speed and efficiency-adjusted output torque from driver and driven tooth count with a transmission efficiency.

i = z₂/z₁; n₂ = n₁/i; T₂ = T₁iη

When

Don’t

This screen covers one ideal external gear pair with a user-entered efficiency. It excludes tooth geometry, mesh force, strength, backlash, lubrication, shaft/bearing load, thermal behavior, vibration, noise, duty cycle, and gearbox or component selection.