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Spur gear pair

Power transmission · 2 : 1 reduction

3D cutaway of the spur gear pair Open the interactive 3D model →

How can a small gear make a big one turn more slowly but push harder?

Two toothed wheels lock together, so when one turns the other must turn too. The big gear here has twice as many teeth, so it turns at half the speed, the opposite way, with about twice the turning force.

A spur gear pair transmits rotation between parallel shafts at a fixed speed ratio set by the tooth counts, here 24/12 = 2:1 with the output reversed. Involute tooth flanks make that ratio exactly constant through every instant of engagement, which is why almost every modern gear uses them.

Key facts

Speed ratio (model)
24 / 12 = 2 : 1, output reversed
Model gears
module 3 mm, pitch diameters 36 and 72 mm, centre distance 54 mm
Pressure angle
20° standard; 25° in the model (lets a 12-tooth pinion run without undercut)
Mesh efficiency, spur
≈ 98–99% per stage
Contact ratio
≈ 1.4 in the model; 1.4–1.8 typical (≥ 1.2 recommended)
Practical single-stage ratio
up to ≈ 6–8 : 1

Parts you can explore (11)

In the 3D model

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