1. What is the RPM Output Formula?

The RPM output formula calculates the rotational speed at the output shaft based on the input rotational speed and the gear ratio. This is fundamental in mechanical engineering for designing gear systems.

2. How Does the Calculator Work?

The calculator uses the RPM output formula:

Where:

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

Explanation: The output RPM is inversely proportional to the gear ratio. Higher gear ratios result in lower output RPM.

3. Importance of RPM Calculation

Details: Accurate RPM calculation is crucial for designing mechanical systems, selecting appropriate motors, and ensuring proper torque transmission in gear systems.

4. Using the Calculator

Tips: Enter input RPM in rev/min and gear ratio (dimensionless). All values must be valid (RPM > 0, gear ratio > 0).

5. Frequently Asked Questions (FAQ)

Q1: What is gear ratio?
A: Gear ratio is the ratio of the number of teeth on the output gear to the number of teeth on the input gear.

Q2: What happens if gear ratio is less than 1?
A: A gear ratio less than 1 means the output RPM will be higher than input RPM (speed increase).

Q3: How does this relate to torque?
A: While this calculator shows speed change, remember that torque changes inversely with speed in an ideal system.

Q4: Can this be used for pulley systems?
A: Yes, the same principle applies to pulley systems where the ratio is based on pulley diameters.

Q5: What about multiple gear stages?
A: For multiple stages, multiply the individual gear ratios to get the total ratio before calculating output RPM.