Material Removal Rate Calculator Formula
Understand the math behind the material removal rate calculator. Each variable explained with a worked example.
Formulas Used
Material Removal Rate
mrr = depth_of_cut * width_of_cut * feed_rate / 1000MRR
mrr_mm3 = depth_of_cut * width_of_cut * feed_rateVariables
| Variable | Description | Default |
|---|---|---|
depth_of_cut | Axial Depth of Cut (ap)(mm) | 3 |
width_of_cut | Radial Width of Cut (ae)(mm) | 20 |
feed_rate | Table Feed Rate (Vf)(mm/min) | 400 |
How It Works
Material Removal Rate in Milling
MRR quantifies how fast material is being removed, which directly relates to productivity and power consumption.
Formula
MRR = ap x ae x Vf
where ap is the axial depth of cut, ae is the radial width of cut, and Vf is the table feed rate. The result in mm^3/min can be divided by 1000 for cm^3/min.
Worked Example
Milling with 3 mm depth, 20 mm width, at 400 mm/min feed.
depth_of_cut = 3width_of_cut = 20feed_rate = 400
- 01MRR = 3 x 20 x 400 = 24,000 mm^3/min
- 02MRR = 24,000 / 1000 = 24 cm^3/min
- 03For steel with specific cutting energy of 2.5 W-s/mm^3, power = 24000/60 x 2.5 = 1000 W = 1 kW at spindle.
Ready to run the numbers?
Open Material Removal Rate Calculator