What Is Feed Rate? Definition, Formula & Speed

DefinitionFeed rate is the speed at which a cutting tool advances through the workpiece, usually given in inches or millimeters per minute.

Explained

Feed rate is the speed at which a cutting tool advances through the workpiece. In milling it is calculated as spindle speed × number of teeth × chip load per tooth. It is different from spindle speed, which is how fast the tool rotates, measured in revolutions per minute (rpm).

Feed Rate vs Spindle Speed vs Cutting Speed

Four related values are set for every cut:

TermWhat it measuresUnitsHow it is set
Cutting (surface) speedHow fast the cutting edge passes the materialft/min (SFM) or m/minFrom tables for the tool and work material
Spindle speedHow fast the tool or part rotatesrpmCalculated from cutting speed and diameter
Chip load (feed per tooth)Thickness of material each cutting edge removesin/tooth or mm/toothFrom tables for the tool, material and cut
Feed rateHow fast the tool advances through the partin/min (IPM) or mm/minSpindle speed × teeth × chip load

On a lathe or drill, feed is usually given per revolution (in/rev or mm/rev), and the feed rate is spindle speed × feed per revolution.

How to Calculate Feed Rate

First find spindle speed from the recommended cutting speed V and tool diameter D:

  • Imperial: rpm = 12 × V (ft/min) ÷ (π × D in inches), often rounded to V × 4 ÷ D
  • Metric: rpm = 1,000 × V (m/min) ÷ (π × D in mm)

Then calculate feed rate:

Feed rate = rpm × number of teeth × chip load

What Happens If the Feed Rate Is Wrong?

  • Too high: each tooth takes too thick a chip, cutting forces rise, finish and accuracy suffer, and the tool may chip or break.
  • Too low: the job takes longer than necessary.
  • Roughing vs finishing: roughing uses lower speed and heavier feed to remove metal quickly; finishing uses finer feeds and higher speeds for a better surface.
  • Chatter: if the cut vibrates, a common first fix is to lower speed and raise feed.

Use lower feeds for small or fragile cutters, deep slots, hard materials and flexible setups, and higher feeds for rigid setups, coarse-tooth cutters and easy-to-machine materials.

What Designers Can Control

Feed rates are chosen by the machinist or CAM programmer, but the design sets the limits. Aluminum 6061 and brass run faster than stainless steel or titanium. Generous internal radii allow larger, stiffer tools and heavier feeds. Fine surface finishes should only be specified where they matter, because finer finishes require slower finishing passes.

Key takeaways

  1. Feed rate is the speed at which a cutting tool advances through the workpiece, usually in in/min or mm/min.
  2. In milling, feed rate = spindle speed × number of teeth × chip load per tooth.
  3. Spindle speed is how fast the tool rotates in rpm; it is not the same as feed rate.
  4. Too high a feed rate raises cutting forces and can break the tool; too low a feed rate wastes time.
  5. Roughing cuts use heavier feeds and lower speeds; finishing cuts use finer feeds and higher speeds.
  6. Material choice, internal radii and surface-finish requirements set the practical limits for feed rate.

Example

A 1 in (25.4 mm), four-flute high-speed steel end mill cutting aluminum at about 250 ft/min (76 m/min) turns at about 950 rpm. With a chip load of 0.008 in (0.2 mm) per tooth, the feed rate is 950 × 4 × 0.008 ≈ 30 in/min, about 760 mm/min. A university lab guide reduces both values to 60% when coolant is applied by hand.

References

  1. Drilling and Milling Speeds and Feeds — University of Florida, EML2322L Design and Manufacturing Laboratory
  2. Fundamentals of Machine Tools, Chapter 8: Milling Operations — US Army TC 9-524 (hosted by Carnegie Mellon University)