1. What is Gear Ratio RPM Calculation?

The gear ratio RPM calculation determines the output rotational speed when two gears of different sizes are connected. It's fundamental in mechanical systems where speed conversion between motor and load is required.

2. How Does the Calculator Work?

The calculator uses the gear ratio formula:

Where:

• \( RPM_{out} \) — Output rotational speed (RPM)
• \( RPM_{motor} \) — Motor rotational speed (RPM)
• \( D_{motor} \) — Diameter of motor gear (mm)
• \( D_{load} \) — Diameter of load gear (mm)

Explanation: The ratio of gear diameters determines the speed conversion between input and output shafts. A larger driven gear results in slower output speed, while a smaller driven gear increases output speed.

3. Importance of Gear Ratio Calculation

Details: Proper gear ratio calculation is essential for designing mechanical systems to achieve desired speed and torque characteristics. It affects system performance, efficiency, and longevity.

4. Using the Calculator

Tips: Enter motor RPM and both gear diameters in millimeters. All values must be positive numbers. The calculator assumes perfect gear meshing without slip.

5. Frequently Asked Questions (FAQ)

Q1: What if I know tooth count instead of diameter?
A: The formula works equally well with tooth counts - just substitute diameter values with number of teeth.

Q2: Does this work for belt and pulley systems?
A: Yes, the same principle applies to belt drives where pulley diameters determine the speed ratio.

Q3: What about multi-stage gear reductions?
A: For multiple gear stages, multiply the individual ratios together (RPM_out = RPM_in × (ratio1 × ratio2 × ...)).

Q4: How does gear ratio affect torque?
A: Torque changes inversely with speed ratio. Reducing output RPM increases output torque proportionally.

Q5: What are typical gear ratio ranges?
A: Single-stage gear ratios typically range from 1:1 to about 10:1. Higher ratios require multiple gear stages.