1. What is RPM Calculation From Gear Ratio?

Definition: This calculator determines the output rotational speed (RPM) based on input RPM and gear ratio.

Purpose: It helps mechanical engineers, automotive technicians, and hobbyists understand how gear ratios affect rotational speed.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( RPM_{out} \) — Output rotational speed (revolutions per minute)
• \( RPM_{in} \) — Input rotational speed (revolutions per minute)
• \( GR \) — Gear ratio (unitless)

Explanation: The output RPM is calculated by dividing the input RPM by the gear ratio. Higher gear ratios result in lower output RPM.

3. Importance of RPM Calculation

Details: Proper RPM calculation ensures optimal performance, prevents mechanical stress, and helps in selecting appropriate gear ratios for specific applications.

4. Using the Calculator

Tips: Enter the input RPM and gear ratio (must be > 0). The gear ratio is typically greater than 1 for reduction gears.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical gear ratio range?
A: Common gear ratios range from 1:1 to about 10:1 for most applications, with specialized systems going higher.

Q2: How does this relate to torque?
A: While this calculator shows speed reduction, remember that torque increases proportionally with gear ratio (when speed decreases).

Q3: What if my gear ratio is less than 1?
A: Ratios < 1 indicate speed increase (output RPM > input RPM), which is valid but less common in reduction systems.

Q4: Can I use this for pulley systems?
A: Yes, the same principle applies to belt and pulley systems using their diameter ratio.

Q5: How accurate is this calculation?
A: The calculation is theoretically precise, but real-world factors like friction and efficiency may cause slight variations.