Velocity Formula Using RPM

Velocity Formula:

\[ V = \frac{RPM \times 2\pi r}{60} \]

Velocity (m/s):

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1. What is Velocity Formula Using RPM?

Definition: This calculator computes the linear velocity of a rotating object based on its rotational speed (RPM) and radius.

Purpose: It helps engineers, physicists, and technicians determine the linear speed at the edge of rotating machinery, wheels, or other circular objects.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V = \frac{RPM \times 2\pi r}{60} \]

Where:

\( V \) — Linear velocity (meters per second)
\( RPM \) — Revolutions per minute
\( r \) — Radius (meters)
\( \pi \) — Pi constant (~3.14159)

Explanation: The formula converts rotational speed to linear speed by multiplying by the circumference (2πr) and converting minutes to seconds (/60).

3. Importance of Velocity Calculation

Details: Accurate velocity calculations are crucial for designing mechanical systems, determining belt speeds, analyzing centripetal forces, and ensuring safe operating conditions.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

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

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

Q3: What if my radius is in centimeters?
A: Convert to meters first (divide cm by 100) before entering the value.

Q4: How does diameter relate to this calculation?
A: If you have diameter instead of radius, divide it by 2 to get radius.

Q5: What's the practical application of this calculation?
A: Used in conveyor systems, vehicle speed calculations, industrial machinery design, and more.