1. What is a Gear Ratio Calculator by RPM?

Definition: This calculator determines the gear ratio based on the input and output rotational speeds (RPM) of a gear system.

Purpose: It helps engineers, mechanics, and hobbyists design and analyze gear systems for vehicles, machinery, and other mechanical applications.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: The gear ratio shows how many times the input shaft must rotate to make the output shaft complete one full rotation.

3. Importance of Gear Ratio Calculation

Details: Proper gear ratio selection ensures optimal power transmission, efficiency, and performance in mechanical systems.

4. Using the Calculator

Tips: Enter the input RPM (driving gear) and output RPM (driven gear). Both values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What does a gear ratio of 3:1 mean?
A: It means the input shaft rotates 3 times for every 1 rotation of the output shaft (speed reduction).

Q2: How does gear ratio affect torque?
A: Higher gear ratios (speed reduction) increase output torque proportionally.

Q3: What's a typical gear ratio range?
A: Common ratios range from 1:1 to 10:1, with specialty applications going much higher.

Q4: How do I measure RPM?
A: Use a tachometer, strobe light, or count rotations over a timed period.

Q5: Can I use this for belt/pulley systems?
A: Yes, the same principle applies to any rotational speed ratio calculation.