Spindle RPM & Feed Rate
Mathematical Proof: Spindle rotational speed converts linear cutting speed (Surface Feet per Minute) to rotational frequency. Because 1 foot = 12 inches and the circumference of a tool with diameter D (in inches) is π × D:
Circumference per Rev = π × D [in/rev]
RPM = (SFM × 12) / (π × D) = SFM × 3.8197186 / D
Feed rate (IPM) represents the linear displacement per minute, computed as the product of revolutions per minute (RPM), chip load per tooth (IPT, inches per tooth), and total active flutes (Z).