Material Removal Rate Calculator

The Material Removal Rate (MRR) Calculator helps determine the volume of material removed during a machining process per unit time. It is essential for evaluating machining efficiency in operations like milling, turning, and drilling. Simply input parameters such as cutting speed, feed rate, depth of cut, and width to get accurate MRR results instantly.

Math Solver Online

Advanced Material Removal Rate Calculator

Advanced Material Removal Rate Calculator

Professional tool for calculating MRR across all major machining operations

Select Operation

Turning Operation

Calculate material removal rate for cylindrical workpiece turning operations.

Formula:

MRR = Dp × Fr × Vc

Material Removal Rate Result

0.00 mm³/min
0.00 cm³/min

Material Removal Rate Theory

What is Material Removal Rate?

The Material Removal Rate (MRR) refers to the volume of material removed per unit time during machining processes. It is a critical parameter in manufacturing that helps determine productivity, power requirements, and process optimization.

MRR is typically measured in mm³/min, cm³/min, or in³/min and is calculated using the fundamental principle:

MRR = Chip Area × Perpendicular Speed × Unit Constant

Turning Operations

Turning reduces the diameter of cylindrical workpieces. Material removal occurs along both longitudinal and perpendicular axes.

Formula: MRR = Dp × Fr × Vc
Where Dp = depth of cut, Fr = feed rate, Vc = cutting speed

Milling Operations

Milling uses rotating tools to remove material from workpieces. Common in gear manufacturing and surface machining.

Formula: MRR = Ap × Ae × Vf
Where Ap = axial depth, Ae = radial depth, Vf = feed velocity

Drilling Operations

Drilling creates circular holes using rotary cutting tools. The cutting speed varies from center to outer diameter.

Formula: MRR = D × Fr × Vc / 4
Where D = drill diameter, Fr = feed rate, Vc = cutting speed

Grooving Operations

Grooving creates narrow channels in workpieces, commonly used for O-ring grooves and parting operations.

Formula: MRR = W × Fr × Vc
Where W = groove width, Fr = feed rate, Vc = cutting speed

Applications of MRR Calculations

Power Consumption Estimation

MRR combined with specific cutting force (Kc) helps estimate required machining power:
Power = MRR × Kc / η
Where η is the machine efficiency.

Productivity Comparison

Compare different machining strategies by calculating MRR for each approach. Higher MRR typically indicates better productivity and shorter cycle times.

Unit Conversions

Volume Units

  • • 1 cm³ = 1,000 mm³
  • • 1 in³ = 16,387.06 mm³
  • • 1 in³ = 16.387 cm³

Speed/Feed Units

  • • 1 m/min = 39.37 in/min
  • • 1 ft/min = 0.305 m/min
  • • 1 in/rev = 25.4 mm/rev

Example Calculation

Turning Operation: Calculate MRR for a turning operation with:

  • Depth of cut (Dp) = 2 mm
  • Feed rate (Fr) = 0.3 mm/rev
  • Cutting speed (Vc) = 150 m/min

Solution:
MRR = Dp × Fr × Vc
MRR = 2 × 0.3 × 150
MRR = 90 mm³/min = 0.09 cm³/min

Formula Reference Guide

Operation Metric Formula Imperial Formula Variables
Turning MRR = Dp × Fr × Vc MRR = Dp × Fr × Vc × 12 Dp: depth of cut, Fr: feed rate, Vc: cutting speed
Milling MRR = Ap × Ae × Vf / 1000 MRR = Ap × Ae × Vf Ap: axial depth, Ae: radial depth, Vf: feed velocity
Drilling MRR = D × Fr × Vc / 4 MRR = D × Fr × Vc × 3 D: drill diameter, Fr: feed rate, Vc: cutting speed
Grooving MRR = W × Fr × Vc MRR = W × Fr × Vc × 12 W: groove width, Fr: feed rate, Vc: cutting speed
Grinding MRR = W × Dc × V MRR = W × Dc × V × 12 W: surface width, Dc: depth of cut, V: work velocity

What is Material Removal Rate (MRR)?

MRR is the volume of material removed from a workpiece during machining, typically measured in mm³/min or in³/min.

Why is calculating MRR important?

MRR helps assess machining efficiency, optimize production time, and reduce costs by improving cutting parameters.

What inputs are required for the MRR calculator?

You generally need feed rate, depth of cut, width of cut, and spindle speed depending on the type of machining process.

Can this calculator be used for all machining operations?

Yes, it is suitable for turning, milling, drilling, and other common material removal processes with appropriate inputs.

Scroll to Top