SFM, surface footage & spindle RPM
Convert between cutting diameter, surface feet per minute and spindle speed.
Spindle calculator →SFM · surface footage · spindle RPM
Use one machining surface-speed tool for SFM calculator, surface feet calculator and surface footage calculator intent. Enter diameter and RPM to get SFM, or solve backwards for spindle speed.
Calculate surface feet per minute from RPM or solve the formula in reverse for spindle speed.
Use tooling manufacturer data and stay within machine, tool and workholding limits. Calculated values are not a substitute for validated process parameters.
Calculator clusters
The site is organized around real machining tasks rather than keyword variants. Surface speed, milling, drilling, turning, reaming and finish each use different inputs or interpretation.
Convert between cutting diameter, surface feet per minute and spindle speed.
Spindle calculator →Move from SFM and chip load to RPM, feed rate and material removal.
Speeds & feeds →Calculate turning RPM and feed, then estimate theoretical Ra from feed and nose radius.
Surface finish →Machinist toolbox
Search by task. Each calculator has one primary intent, immediate results, visible formulas and links to the next logical operation.
Surface feet per minute ↔ RPM from cutting diameter.
Open calculator →MillingRPM, IPM, feed per revolution and MRR from known cutting data.
Open calculator →DrillingDrill RPM and IPM from diameter, SFM and feed per revolution.
Open calculator →MillingEnd mill RPM, feed rate and material removal rate.
Open calculator →TurningTurning RPM, linear feed and estimated MRR.
Open calculator →ReamingReamer RPM and feed from SFM and IPR.
Open calculator →SpindleConvert SFM and diameter to RPM, or RPM back to SFM.
Open calculator →FinishTheoretical turning Ra from feed and tool nose radius.
Open calculator →ShopSetup, runtime, material, tooling and cost per part.
Open calculator →SFM to RPM formula
SFM = π × Diameter(in) × RPM ÷ 12RPM = SFM × 12 ÷ (π × Diameter)The common 3.82 multiplier is the rounded value of 12 ÷ π.
Worked example
Target SFM = 650.
Diameter = 0.500 in.
650 × 12 ÷ (π × 0.500) ≈ 4,966 RPM.
Surface speed reference
Surface feet per minute is the linear speed at the cutting circumference. In milling and drilling, use the cutter or drill diameter where cutting occurs. In turning, use the workpiece diameter at the cut. The same SFM therefore produces different RPM as diameter changes.
Measure or enter the cutting diameter in inches and multiply it by spindle RPM and π, then divide by 12. If you know the target SFM instead, rearrange the formula to solve for RPM. Surface footage and SFM refer to the same machining surface-speed concept in this context.
SFM determines spindle speed when diameter is known. It does not directly determine IPM. For milling, the next calculation is typically IPM = RPM × effective teeth × chip load per tooth. For drilling and turning, feed is commonly specified per revolution.
The calculator returns the mathematical relationship between speed and diameter. It does not decide whether 650 SFM—or any other cutting speed—is correct for your tool and material. Get the starting cutting data from the toolmaker, then use this calculator to translate it into a machine setting.
Frequently asked
For inch units, SFM = π × cutting diameter in inches × RPM ÷ 12. The diameter must be the actual cutting diameter at the point of contact.
RPM = SFM × 12 ÷ (π × diameter in inches). A 0.500-inch cutter at 650 SFM is about 4,966 RPM.
In machining, surface footage normally refers to surface feet per minute, abbreviated SFM. It is the linear speed at the cutting circumference.
SFM does not convert directly to IPM. First use SFM and diameter to calculate RPM, then calculate feed rate from RPM × number of effective teeth × chip load per tooth.
For milling, feed rate in IPM = RPM × effective teeth × chip load per tooth. Drilling and turning often use feed per revolution instead.
Because RPM changes inversely with cutting diameter. A smaller tool needs more RPM to produce the same surface speed.