Ratio i = N_driven / N_driver | Output RPM = Driver RPM / i

Gear Ratio Calculator

Compute gear ratio, output shaft RPM, torque multiplication, and mechanical advantage.

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Formula & Mathematical Method

This calculator uses standard deterministic mathematical algorithms to process user inputs in real time. Calculations are performed client-side for maximum speed and privacy.

Reviewed by Gear Design Panel

Checked for AccuracyLast Reviewed: August 2026

Mechanical Gear Transmissions

Theoretical background and practical computational guidance

Gears transmit mechanical power while altering rotational speed and torque output inversely.

Gear Ratio & Output Speed EquationsMathematical Standard

Ratio = N_driven / N_driver | RPM_out = RPM_in / Ratio

Where N represents gear tooth count.

Worked Calculation Walkthrough & Analytical Steps

To evaluate a typical problem using the Gear Ratio Calculator, identify your known baseline inputs, convert all measurements to congruent units, and apply the governing formula sequentially. Below is a structured breakdown of the computational workflow:

Data Ingestion & Unit Harmonization: Enter the primary parameters into the input fields. If working with mixed metric or imperial dimensions, use the unit selector above to align scales.
Intermediate Term Evaluation: The algorithm evaluates inner parentheses, rate exponents, and coefficient ratios in strict compliance with mathematical precedence.
Final Transformation & Precision Rounding: The final numerical figure is determined, formatted to user-selected decimal precision, and mapped against relevant diagnostic or diagnostic thresholds.