Calculate RPM from cutting speed (SFM) and cutter diameter, or find surface speed from RPM.
Imperial units only. Enter cutter diameter in inches and cutting speed in surface feet per minute (SFM). Convert metric measurements before using this calculator.
Last updated: March 2026 | Machining Tool
Surface Feet Per Minute (SFM) is the cutting speed measured at the outer edge of the tool cutting surface. It represents how fast the workpiece surface passes under the cutting tool. Higher SFM values result in faster material removal but may reduce tool life and affect surface finish.
RPM (Revolutions Per Minute) is how many times the spindle rotates in one minute. The relationship between SFM and RPM depends on the tool's diameter: larger diameter tools need lower RPMs to achieve the same cutting speed. This calculator converts between these values using the formula RPM = (SFM × 12) / (π × D).
RPM = (SFM × 12) / (π × Diameter)
SFM = (RPM × π × Diameter) / 12
Recommended SFM ranges: Carbon steel (200-300 HB): 80-120 SFM, Stainless steel: 40-80 SFM, Hardened steel (58+ HRC): 20-40 SFM, Aluminum: 300-400 SFM. Always start conservative and monitor for chatter and heat.
Step 1: Find your material type and hardness in an SFM chart. Step 2: Determine your tool diameter. Step 3: Calculate RPM using RPM = (SFM × 12) / (π × D). Step 4: Set slightly lower than calculated, then increase gradually while listening/watching for chatter or tool deflection.
Larger diameter tools have higher surface speed at the cutting edge. To maintain constant SFM (the important variable), you need fewer revolutions per minute. For example, a 2-inch tool needs half the RPM of a 1-inch tool at the same SFM.
Excessive speed causes: (1) Rapid tool dulling and wear, (2) Excessive heat at the tool-workpiece interface, (3) Poor surface finish and chatter, (4) Tool breakage, (5) Workpiece overheating and potential burns. Conservative speeds are always safer.
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