RPM Formula:
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Definition: This calculator determines the revolutions per minute (RPM) based on speed, a constant factor, and diameter.
Purpose: It helps in adjusting and understanding the relationship between linear speed and rotational speed for various mechanical applications.
The calculator uses the formula:
Where:
Explanation: The speed multiplied by the constant conversion factor gives the inches per hour, which when divided by the circumference (π × diameter) gives the RPM.
Details: Proper RPM calculation ensures optimal performance of rotating equipment, prevents mechanical stress, and helps in speed matching for different components.
Tips: Enter the speed in mph, the constant (default 336), and the diameter in inches. All values must be > 0.
Q1: Why is the constant typically 336?
A: The constant 336 comes from (5280 ft/mile × 12 in/ft) ÷ (60 min/hour × π) ≈ 336, converting mph to inches/minute and accounting for circular motion.
Q2: Can I use this for any rotating object?
A: Yes, this formula works for any rotating object where you know the linear speed and diameter.
Q3: What if my diameter is in different units?
A: Convert your diameter to inches before using the calculator for accurate results.
Q4: How does RPM affect performance?
A: Higher RPM generally means faster operation but may increase wear and heat generation.
Q5: What's a typical RPM range for industrial equipment?
A: This varies widely, from 500-3000 RPM for many machines, but always consult manufacturer specifications.