Machining Material Removal Calculator

Calculate material removal rate (MRR), removed material volume, theoretical machining time and related CNC cutting parameters for milling operations.

Unit System

Milling Parameters

The basic MRR calculation uses width of cut × depth of cut × feed rate.

mm.
mm.
mm/min.

Optional Volume & Time

mm³.

Calculated Results

Material removal rate
—
Material removed / second
—
Material volume
—
Theoretical machining time
—
Width of cut
—
Depth of cut
—

Calculation Details

Enter cutting parameters to calculate material removal rate.

Formula

Basic milling material removal rate: MRR = Width of Cut × Depth of Cut × Feed Rate Metric: MRR = W(mm) × DOC(mm) × F(mm/min) Result = mm³/min Imperial: MRR = W(in) × DOC(in) × F(in/min) Result = in³/min Material removal rate in cm³/min: cm³/min = mm³/min ÷ 1000 Theoretical machining time: Time = Material Volume ÷ MRR Feed rate can also be derived: Feed Rate = MRR ÷ (Width of Cut × Depth of Cut)
This is a simplified geometric MRR calculation. Actual material removal can vary with tool engagement, interrupted cuts, machine dynamics, tool deflection, chip evacuation and programmed toolpath.

Example

Width of cut
10 mm.
Depth of cut
2 mm.
Feed rate
1,200 mm/min.
Material removal rate
10 × 2 × 1,200 = 24,000 mm³/min = 24 cm³/min.
Material volume
10,000 mm³.
Theoretical machining time
10,000 ÷ 24,000 = 0.417 minutes, or approximately 25 seconds.

Frequently Asked Questions

What is material removal rate? Material removal rate, or MRR, is the volume of material removed from a workpiece per unit of time.

What is the basic MRR formula for milling? A simplified milling MRR is width of cut multiplied by depth of cut multiplied by feed rate.

What units are used for MRR? Common metric units are mm³/min or cm³/min. Imperial calculations commonly use in³/min.

Does feed rate affect MRR? Yes. With width and depth of cut unchanged, increasing feed rate increases the calculated MRR proportionally.

Does depth of cut affect MRR? Yes. Doubling depth of cut doubles the simplified MRR when the other parameters remain unchanged.

Does width of cut affect MRR? Yes. A larger radial width of cut increases the theoretical volume removed per unit time.

Can MRR calculate machining time? Yes. If the material volume to remove is known, divide that volume by the MRR to obtain theoretical cutting time.

Is MRR the same as cutting speed? No. Cutting speed is the velocity of the cutting edge. MRR is the volume of material removed per unit time.

Does this calculator account for tool diameter? No. Tool diameter is not directly required for the simplified width × depth × feed MRR equation. Tool diameter is important when determining appropriate cutting parameters.

Is the calculated MRR the actual production MRR? Not necessarily. It is a theoretical estimate based on the entered geometric cutting parameters.

Can this be used for CNC milling? Yes. The calculator is designed around the common milling MRR relationship.

Can MRR be used for turning? Turning material-removal calculations use different geometry and should account for radial depth of cut and feed per revolution. This calculator focuses on the simplified milling relationship.