Engineering and Process
Material Removal Rate Formula
Material removal rate (MRR) measures how quickly a machining process removes material, in cubic inches per minute. Use it when comparing cutting parameters, estimating machining time, or evaluating process efficiency.
Formula
MRR = Width of Cut x Depth of Cut x Feed Rate
Variables
- Width of Cut: Radial engagement of the tool in inches (how wide the cut is)
- Depth of Cut: Axial depth of engagement in inches (how deep the tool cuts)
- Feed Rate: Table feed in inches per minute
Understanding the Material Removal Rate Formula
Material removal rate tells you how many cubic inches of stock you clear per minute, which directly drives cycle time and machine loading. It multiplies the three engagement parameters that define the cut: how wide, how deep, and how fast the table moves. A higher MRR means a shorter job, but it also means more spindle power and cutting force. MRR is the single number shop managers watch when quoting jobs and comparing roughing strategies.
All three inputs must share consistent units: width of cut and depth of cut in inches, feed rate in inches per minute, giving cubic inches per minute. Width is radial engagement, depth is axial engagement, and feed is the actual table feed, not chip load. The worked case, 0.75 x 0.10 x 96, yields 7.2 cubic inches per minute. For turning, the equivalent form uses cutting speed, depth, and feed per revolution instead of these milling terms.
Interpret MRR against your spindle's power budget. A rough rule for steel is about 1 horsepower (0.75 kW) per cubic inch per minute; aluminum needs only a third of that. So 7.2 cubic inches per minute in steel demands roughly 7 hp at the cutter. If that exceeds your rated spindle, reduce width, depth, or feed. Chasing maximum MRR without checking power, deflection, and surface finish leads to stalled spindles and scrapped parts.
Worked Example
Milling pass: width = 0.75 in, depth = 0.10 in, feed rate = 96 IPM.
- MRR = 0.75 x 0.10 x 96
- = 7.2 cubic inches per minute
Result: 7.2 cubic inches per minute
Common Mistake
Using MRR to compare operations with different cutting geometries without accounting for power and force. Higher MRR is not always better if it overloads the spindle, deflects the tool, or reduces surface quality. Confirm that the machine's rated kW can sustain the MRR before setting final parameters.
Frequently Asked Questions
- What is material removal rate in machining?
- Material removal rate (MRR) is the volume of material a process removes per minute, measured in cubic inches per minute. In milling it equals width of cut times depth of cut times feed rate. It quantifies how aggressive a cut is, so higher MRR means faster roughing and shorter cycle time. For a pass of 0.75 in wide, 0.10 in deep, at 96 IPM, MRR is 7.2 cubic inches per minute.
- How do you calculate MRR for a milling operation?
- Multiply the three engagement values: MRR = Width of Cut x Depth of Cut x Feed Rate, with widths and depths in inches and feed in inches per minute. Example: 0.75 x 0.10 x 96 = 7.2 cubic inches per minute. Width is radial engagement, depth is axial. Keep units consistent; using chip load instead of table feed, or mixing millimeters with inches, produces a meaningless number.
- What is a good MRR value for steel roughing?
- There is no universal target; MRR is bounded by spindle power. Budget roughly 1 hp per cubic inch per minute in mild steel, so a 10 hp spindle tops out near 8 to 10 cubic inches per minute at the cutter. Aluminum allows 3 to 4 times that for the same power. A 7.2 cubic inches per minute cut is healthy on a 10 hp machine in steel but conservative in aluminum.
- Why does increasing MRR sometimes cause tool breakage or poor finish?
- MRR only counts volume, not force or heat. Pushing depth, width, or feed to raise MRR increases cutting force and tool deflection, which causes chatter, edge chipping, or snapped tools. It also degrades surface finish. Before locking in parameters, confirm the machine's rated kW can sustain the MRR and that the tool can handle the resulting force. Higher MRR is not automatically better.
- How do I convert MRR to cubic centimeters per minute?
- One cubic inch equals 16.387 cubic centimeters, so multiply your MRR in cubic inches per minute by 16.387. A 7.2 cubic inches per minute cut equals about 118 cm3/min. If working natively in metric, compute MRR with width, depth in millimeters and feed in mm/min, which gives cubic millimeters per minute; divide by 1000 to reach cubic centimeters per minute.
- What is the difference between MRR and metal removal efficiency?
- MRR is raw volume removed per minute (cubic inches per minute) and says nothing about cost. Metal removal efficiency, sometimes given as cubic inches per minute per horsepower or per kW, measures how much material you clear per unit of power. Aluminum has high efficiency because it cuts easily; titanium is low. Use MRR to estimate time and efficiency to judge whether the process is power-effective.