Physics

Gear Ratio RPM Calculator

Find output rpm from input rpm and gear ratio.

Parameters Live Compute
Calculated Output
Output speed (rpm) 1,000
Formula: output rpm = input rpm ÷ ratio
Step-by-Step Breakdown
1. Values used:
2. Input speed = 3,000 rpm
3. Gear ratio (input:output) = 3
4.
5. Output speed = Input speed / Gear ratio (input:output) = 3,000 / 3 = 1,000rpm
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A gear reduction trades speed for torque; this finds the output shaft speed.

The math behind it

output rpm = input rpm ÷ ratio. A 3:1 reduction cuts speed to a third (and triples torque).

Worked Example

3000 rpm through 3:1 → 1000 rpm.

Frequently Asked Questions

What happens to torque?

It multiplies by the same ratio that the speed divides by.

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