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Calculate Rpm From Speed And Diameter

RPM Formula:

\[ RPM = \frac{Speed \times 12}{\pi \times Diameter} \]

ft/min
inches

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1. What is RPM Calculation?

RPM (Revolutions Per Minute) calculation determines the rotational speed of a circular object based on its linear speed and diameter. It's essential in various mechanical and engineering applications.

2. How Does the Calculator Work?

The calculator uses the RPM formula:

\[ RPM = \frac{Speed \times 12}{\pi \times Diameter} \]

Where:

Explanation: The formula converts linear speed to rotational speed by considering the circumference of the rotating object.

3. Importance of RPM Calculation

Details: RPM calculation is crucial for designing mechanical systems, selecting motors, determining belt speeds, and ensuring proper operation of rotating equipment.

4. Using the Calculator

Tips: Enter speed in ft/min and diameter in inches. Both values must be positive numbers for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: Why convert feet to inches in the formula?
A: The conversion ensures consistent units since diameter is typically measured in inches while speed is often measured in feet per minute.

Q2: What are typical RPM ranges for machinery?
A: RPM varies widely by application - from a few RPM for large turbines to thousands of RPM for small electric motors.

Q3: How does diameter affect RPM?
A: Larger diameters result in lower RPM at the same linear speed, as each revolution covers more distance.

Q4: Can this be used for belt-driven systems?
A: Yes, this calculation is fundamental for determining pulley speeds in belt-driven systems.

Q5: What if my speed is in different units?
A: Convert your speed to ft/min before using the calculator for accurate results.

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