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Linear Velocity to RPM Calculator

RPM Formula:

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

m/min
m

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1. What is RPM?

RPM (Revolutions Per Minute) is a measure of rotational speed, indicating how many complete turns a rotating object makes in one minute.

2. How Does the Calculator Work?

The calculator uses the RPM formula:

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

Where:

Explanation: The formula converts linear velocity at the circumference to rotational speed by accounting for the circumference (π×D) and converting time units.

3. Importance of RPM Calculation

Details: RPM is crucial in mechanical engineering, manufacturing, and various industrial applications where rotational speed needs to be controlled or monitored.

4. Using the Calculator

Tips: Enter linear velocity in meters per minute and diameter in meters. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What if my diameter is in millimeters?
A: Convert to meters by dividing by 1000 before entering the value (1 mm = 0.001 m).

Q2: What if my velocity is in m/s instead of m/min?
A: Multiply by 60 to convert to m/min (1 m/s = 60 m/min).

Q3: Does this work for any rotating object?
A: Yes, as long as you know the linear velocity at the circumference and the diameter.

Q4: How accurate is this calculation?
A: The calculation is mathematically precise, but real-world factors like slippage may affect actual RPM.

Q5: Can I calculate linear velocity from RPM?
A: Yes, rearrange the formula: \( V = \frac{RPM \times \pi \times D}{60} \).

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