1. What is an RPM to Velocity Calculator?

Definition: This calculator converts rotational speed (RPM) to linear velocity (m/s) based on the diameter of the rotating object.

Purpose: It helps engineers, mechanics, and technicians determine the linear speed at the edge of rotating machinery like wheels, gears, or pulleys.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( V \) — Linear velocity (meters/second)
• \( RPM \) — Revolutions per minute
• \( D \) — Diameter of the rotating object (meters)
• \( \pi \) — Pi, approximately 3.14159

Explanation: The formula converts rotational speed to linear speed by accounting for the circumference traveled per revolution and converting minutes to seconds.

3. Importance of RPM to Velocity Conversion

Details: Understanding the relationship between rotational speed and linear velocity is crucial for designing mechanical systems, calculating belt speeds, determining wheel speeds, and ensuring safe operating conditions.

4. Using the Calculator

Tips: Enter the RPM value and the diameter of the rotating object in meters. Both values must be greater than 0.

5. Frequently Asked Questions (FAQ)

Q1: Why divide by 60 in the formula?
A: The division by 60 converts minutes (from RPM) to seconds (for m/s).

Q2: Can I use this for any rotating object?
A: Yes, as long as you know the RPM and diameter, this works for wheels, gears, pulleys, etc.

Q3: What if my diameter is in inches or other units?
A: Convert the diameter to meters before using the calculator (1 inch = 0.0254 meters).

Q4: How accurate is this calculation?
A: It's theoretically accurate for rigid bodies with no slip. Real-world factors like slippage or deformation may affect actual velocity.

Q5: What's the relationship between RPM and velocity?
A: Velocity increases linearly with both RPM and diameter. Doubling either will double the velocity.