RPM To Linear Speed Calculator

Linear Speed Formula:

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

Linear Speed (m/s):

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1. What is an RPM To Linear Speed Calculator?

Definition: This calculator converts rotational speed (RPM) to linear speed (m/s) based on the diameter of the rotating object.

Purpose: It helps engineers, mechanics, and technicians determine the linear velocity at the edge of rotating components like wheels, gears, or pulleys.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( V \) — Linear speed (meters/second)
\( D \) — Diameter of rotating object (meters)
\( RPM \) — Revolutions per minute
\( \pi \) — Mathematical constant (~3.14159)

Explanation: The formula calculates the distance traveled per revolution (π×D) multiplied by the number of revolutions per second (RPM/60).

3. Importance of RPM to Linear Speed Conversion

Details: This conversion is crucial for designing mechanical systems, calculating belt speeds, determining vehicle speeds from wheel RPM, and ensuring safe operating velocities.

4. Using the Calculator

Tips: Enter the diameter in meters and the rotational speed in RPM. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why divide by 60 in the formula?
A: The division converts minutes to seconds since we want linear speed in meters per second (m/s).

Q2: Can I use this for any rotating object?
A: Yes, as long as you know the diameter and RPM, this works for wheels, gears, pulleys, or any circular rotating component.

Q3: What if my diameter is in inches?
A: First convert inches to meters (1 inch = 0.0254 meters) before using the calculator.

Q4: How accurate is this calculation?
A: It's theoretically exact for rigid bodies, but real-world factors like slippage or deformation may cause slight variations.

Q5: Can I calculate RPM from linear speed?
A: Yes, rearrange the formula: RPM = (60 × V) / (π × D)