1. What is an RPM To Linear 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, pulleys, or gears.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( V \) — Linear velocity (meters/second)
• \( D \) — Diameter of rotating object (meters)
• \( RPM \) — Rotational speed (revolutions per minute)
• \( \pi \) — Mathematical constant Pi (~3.14159)

Explanation: The formula calculates the circumference distance traveled in one revolution, multiplies by RPM to get distance per minute, then converts to meters per second.

3. Importance of Linear Velocity Calculation

Details: Knowing linear velocity is crucial for designing mechanical systems, determining belt speeds, calculating conveyor throughput, and ensuring safe operating speeds.

4. Using the Calculator

Tips: Enter the diameter of the rotating object in meters and its rotational speed in RPM. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why divide by 60 in the formula?
A: This converts from "per minute" to "per second" since there are 60 seconds in a minute.

Q2: Can I use diameter in other units?
A: Yes, but you'll need to convert to meters first for accurate m/s results, or adjust the formula accordingly.

Q3: What's a typical RPM range for machinery?
A: Common ranges vary: electric motors (1000-3600 RPM), car engines (600-7000 RPM), turbines (3000-15000 RPM).

Q4: How does this relate to angular velocity?
A: Angular velocity (radians/sec) = RPM × π/30. Linear velocity = angular velocity × radius.

Q5: What if my object isn't circular?
A: For non-circular objects, use the effective diameter that represents the path length per revolution.