Mechanical Design

Gear Ratio Explained: Speed, Torque & How to Calculate It

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Gear ratio is the heart of every drivetrain. It sets how output speed and torque relate to the input — the classic trade where slower means stronger.

Learn to read a ratio, compute it from tooth counts, and apply it to conveyor and machine design.

Output speed vs gear ratio (input 1450 RPM) 1450 rpm1:1725 rpm2:1483 rpm3:1290 rpm5:1145 rpm10:1
Output speed vs gear ratio (input 1450 RPM)

The formula

Ratio i = Z₂ ÷ Z₁, the driven teeth divided by the driver teeth. Output torque rises by i; output speed falls by i.

Worked example

A 20-tooth pinion driving a 60-tooth gear gives i = 60/20 = 3:1 — output runs at one-third speed with three times the torque.

Reduction vs overdrive

Ratios above 1:1 are reductions (slower, stronger). Below 1:1 is overdrive (faster, weaker).

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Frequently asked questions

What is a reduction ratio?

Any ratio greater than 1:1 — the output is slower and delivers higher torque.

Does ratio change power?

Ideally no; gears trade speed for torque at constant power, minus small losses.

This guide is for educational purposes. Always verify against the relevant standard before final design.

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