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Gear Ratio Calculator

Ratio = driven teeth / driver teeth. Optional input RPM gives output RPM as input RPM / ratio. Informational, not a gearbox rating or code approval.

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Results

How to calculate gear ratio

  1. Enter driver (input) teeth.
  2. Enter driven (output) teeth.
  3. Enter input RPM to see output RPM. Output RPM is input RPM divided by the ratio.
  4. The default 20 to 60 is a 3:1 reduction, 3000 RPM in, 1000 RPM out. Nothing is uploaded.

Simple gear pair

Ratio = t2 / t1

DriverInput gear tooth count t1
DrivenOutput gear tooth count t2
Ratiot2 / t1, also shown as 1 : n
ReductionRatio greater than 1 slows speed and raises ideal torque
Output RPMInput RPM / ratio
EfficiencyIgnored. Not a gearbox rating.

What gear ratio means here

Ratio is driven teeth divided by driver teeth. 60 / 20 is 3, shown as 1 : 3. Output RPM is 3000 / 3 = 1000. A ratio above 1 is a reduction: speed down, ideal torque up.

Driver, driven, and RPM

The driver is the input gear. The driven gear is the output. Meshed teeth share the same pitch, so tooth count sets the speed ratio. Surface speed of a shaft is a different job on the RPM calculator.

How this page computes

Both tooth counts must be greater than 0. Input RPM must be greater than 0 when you type it. The page does not model idlers, compound trains, or belt pulley diameters.

Limits

No module, no strength, no efficiency. Informational, not a gearbox rating or code approval. CZNull does not receive the tooth counts. See the disclaimer.

Gear ratio questions

Does this page upload tooth counts?
No. The ratio runs in this tab. CZNull does not receive t1 or t2.
Which gear is the driver?
The driver is the input. Enter it as t1. The driven gear is t2.
Why is 20 and 60 a reduction?
The output has more teeth, so it turns slower. 3000 RPM in becomes 1000 RPM out.
Does this include gearbox losses?
No. Torque scaling is ideal. Real boxes lose power to friction.
Can I enter a belt pulley pair?
Only if you treat tooth counts as a stand-in for effective diameters in the same ratio sense. This form is labeled for gears.
Is this a rating plate?
No. It is tooth-count arithmetic, not a manufacturer rating.