1. What is the RPM to Velocity Formula?

The RPM to Velocity formula converts rotational speed (revolutions per minute) to linear velocity (meters per second) using the radius of rotation. This calculation is essential in mechanical engineering, physics, and various industrial applications.

2. How Does the Calculator Work?

The calculator uses the RPM to Velocity formula:

Where:

• \( v \) — Linear velocity (m/s)
• \( RPM \) — Rotational speed (revolutions per minute)
• \( r \) — Radius of rotation (m)
• \( \pi \) — Mathematical constant pi (approximately 3.14159)

Explanation: The formula converts rotational motion to linear motion by calculating the distance traveled per revolution (circumference = 2πr) and converting from minutes to seconds.

3. Importance of Linear Velocity Calculation

Details: Calculating linear velocity from RPM is crucial for designing mechanical systems, conveyor belts, vehicle speed calculations, and any application involving rotational-to-linear motion conversion.

4. Using the Calculator

Tips: Enter RPM (must be greater than 0) and radius in meters (must be greater than 0). The calculator will compute the linear velocity in meters per second.

5. Frequently Asked Questions (FAQ)

Q1: Why divide by 60 in the formula?
A: We divide by 60 to convert from minutes (in RPM) to seconds (in velocity), as there are 60 seconds in a minute.

Q2: Can I use different units for radius?
A: Yes, but the velocity result will be in the corresponding linear units per second (e.g., cm/s if radius is in cm).

Q3: What if I have diameter instead of radius?
A: Divide the diameter by 2 to get the radius before using the calculator.

Q4: Does this formula work for any rotating object?
A: Yes, the formula applies to any rotating object where you want to find the linear velocity at a specific radius from the center of rotation.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise for ideal conditions. Real-world factors like slippage or deformation may affect actual velocity.