1. What is a Velocity to RPM Calculator?

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

Purpose: It helps engineers, mechanics, and technicians determine the rotational speed of wheels, gears, or other circular objects moving at a known linear velocity.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \text{RPM} \) — Revolutions per minute
• \( V \) — Linear velocity (meters per second)
• \( r \) — Radius of rotation (meters)
• \( \pi \) — Mathematical constant (~3.14159)

Explanation: The formula converts linear speed to angular speed by accounting for the circumference of the rotating object.

3. Importance of RPM Calculation

Details: Knowing RPM is crucial for proper equipment operation, safety considerations, and performance optimization in mechanical systems.

4. Using the Calculator

Tips: Enter the linear velocity in m/s and the radius in meters. Both values must be greater than 0.

5. Frequently Asked Questions (FAQ)

Q1: Why multiply by 60 in the formula?
A: The multiplication converts seconds to minutes since RPM is revolutions per minute while velocity is in meters per second.

Q2: What if I have diameter instead of radius?
A: Simply divide the diameter by 2 to get the radius before entering it into the calculator.

Q3: Does this work for any rotating object?
A: Yes, as long as you know the linear velocity at the radius point and the radius itself, the formula applies to any circular motion.

Q4: How accurate is this calculation?
A: The calculation is mathematically precise, assuming no slippage and perfect circular motion.

Q5: Can I use different units?
A: The calculator expects m/s for velocity and meters for radius. Convert other units before entering values.