RPM Formula:
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The RPM (Revolutions Per Minute) formula calculates the optimal rotational speed for a milling cutter based on the cutting speed and tool diameter. It ensures efficient material removal while maintaining tool life.
The calculator uses the RPM formula:
Where:
Explanation: The formula converts cutting speed (linear velocity at the tool's edge) to rotational speed based on the tool's diameter.
Details: Proper RPM calculation is crucial for achieving optimal cutting conditions, preventing tool wear, avoiding workpiece damage, and ensuring efficient machining operations.
Tips: Enter cutting speed in ft/min and diameter in inches. All values must be positive numbers. Refer to material-specific cutting speed charts for appropriate CS values.
Q1: Why is the constant 4 used in the formula?
A: The constant 4 comes from the conversion factor (12 inches/ft) divided by π (≈3.1416), simplified to approximately 4 for practical calculations.
Q2: What are typical cutting speeds for common materials?
A: Aluminum: 200-300 ft/min, Steel: 100-200 ft/min, Stainless Steel: 50-150 ft/min, Plastics: 300-600 ft/min (varies by specific material and tool type).
Q3: How does tool material affect the calculation?
A: Different tool materials (HSS, carbide, etc.) have different maximum recommended cutting speeds, but the RPM calculation remains the same.
Q4: Should I use exact or nominal tool diameter?
A: Use the actual measured diameter when possible, as tool wear can slightly reduce diameter over time.
Q5: How does this differ for metric units?
A: For metric (m/min and mm), the formula becomes: RPM = (1000 × CS) / (π × D) where D is in mm.