1. What is RPM to Linear Velocity Calculator?

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

Purpose: It helps engineers, physicists, and technicians determine the linear speed of a point on a rotating object.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( V \) — Linear velocity (meters/second)
• \( r \) — Radius of rotation (meters)
• \( RPM \) — Rotational speed (revolutions per minute)
• \( \pi \) — Mathematical constant Pi (~3.14159)

Explanation: The formula converts RPM to radians per second (by multiplying by 2π/60) and then multiplies by radius to get linear velocity.

3. Importance of RPM to Velocity Conversion

Details: This calculation is essential in mechanical engineering, vehicle dynamics, conveyor systems, and any application involving rotational motion.

4. Using the Calculator

Tips: Enter the radius in meters and RPM value. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why divide by 60 in the formula?
A: This converts minutes to seconds since RPM is per minute and we want velocity per second.

Q2: Can I use this for any rotating object?
A: Yes, as long as you know the exact radius from the center of rotation to your point of interest.

Q3: What if my radius is in centimeters?
A: Convert to meters first (divide cm by 100) or adjust the result units accordingly.

Q4: How does this relate to angular velocity?
A: Angular velocity (ω) in rad/s is RPM × 2π/60. Linear velocity is ω × radius.

Q5: What's the maximum RPM this calculator can handle?
A: There's no theoretical limit, but extremely high RPM values may require relativistic considerations.