# Material Removal Rate Calculator for Milling

> Source: https://netray.co/tools/material-removal-rate-calculator
> Publisher: Netray (netray.co), AI and integration engineering for ERP and manufacturing systems.
> Section: Free Tools

## Short answer

Calculate milling MRR from width of cut, depth of cut and feed, then estimate the spindle horsepower the cut will need.

## Category

manufacturing

## Industry

Machine Shops

## Audience

- CNC programmer
- Manufacturing engineer
- Process engineer

## Tool

**Kind:** calculator

**Inputs:**

#### Radial width of cut

**Key:** ae

**Type:** number

**Default:** 0.25

**Min:** 0

**Step:** 0.025

**Unit:** in

**Help:** Stepover for side milling, or cutter diameter for slotting.

#### Axial depth of cut

**Key:** ap

**Type:** number

**Default:** 0.5

**Min:** 0

**Step:** 0.025

**Unit:** in

#### Table feed rate

**Key:** feed

**Type:** number

**Default:** 30

**Min:** 0

**Step:** 1

**Unit:** IPM

#### Workpiece material (unit power)

**Key:** unit_power

**Type:** select

**Default:** 0.3

**Options:**

##### Aluminum alloys (0.3 hp per in3/min)

**Value:** 0.3

##### Cast iron (0.7 hp per in3/min)

**Value:** 0.7

##### Mild and alloy steel (1.0 hp per in3/min)

**Value:** 1

##### Titanium (1.2 hp per in3/min)

**Value:** 1.2

##### Stainless steel (1.4 hp per in3/min)

**Value:** 1.4

**Help:** Typical handbook values. Real figures vary with hardness, tool geometry and chip thickness.

#### Machine drive efficiency

**Key:** eff

**Type:** number

**Default:** 0.8

**Min:** 0.3

**Max:** 1

**Step:** 0.05

**Help:** Fraction of spindle motor power that reaches the cutter. 0.7 to 0.9 is typical.

**Outputs:**

#### Material removal rate

**Key:** mrr

**Expr:** ae * ap * feed

**Format:** decimal

**Primary:** true

**Description:** Cubic inches per minute = width x depth x feed.

#### MRR (cm3 per minute)

**Key:** mrr_cm3

**Expr:** mrr * 16.387

**Format:** decimal

#### Power at the cutter

**Key:** hp_cut

**Expr:** mrr * unit_power

**Format:** decimal

**Description:** Horsepower needed at the cutting edge.

#### Estimated spindle horsepower

**Key:** hp_spindle

**Expr:** hp_cut / eff

**Format:** decimal

**Primary:** true

#### Estimated spindle power (kW)

**Key:** kw

**Expr:** hp_spindle * 0.7457

**Format:** decimal

#### Machining time per cubic inch

**Key:** min_per_in3

**Expr:** 1 / mrr

**Format:** decimal

**Description:** Minutes to remove one cubic inch at this rate.

**Chart:**

#### MRR and spindle horsepower vs feed rate

**Type:** line

**X:** feed

**From:** 5

**To:** 100

**Steps:** 20

**Series:**

- mrr
- hp_spindle

**Disclaimer:** Unit power values are typical handbook figures for estimating only. Check your spindle power curve at the programmed RPM, since many spindles deliver far less power at low speed.

## Content

**Intro:** Material removal rate tells you how fast a cut turns stock into chips. It is the quickest way to compare roughing strategies, justify a higher power tool, or check whether a program will overload your spindle.

**Sections:**

#### How to use the calculator

**Body:** Enter the radial width of cut (stepover) and axial depth of cut in inches, plus the table feed in inches per minute. Pick the workpiece material to apply a typical unit power, then set the drive efficiency of your machine. The result is MRR in cubic inches and cubic centimeters per minute, the estimated horsepower at the cutter and at the spindle, and the minutes needed to remove each cubic inch. The chart sweeps feed rate so you can see where the cut would cross the power rating of your machine.

#### Formula and unit power

**Body:** For milling, MRR = width of cut x depth of cut x feed rate. Power is estimated with unit power, also called specific cutting energy, expressed in horsepower per cubic inch per minute: cutting horsepower = MRR x unit power. Spindle horsepower divides that by machine efficiency. Unit power rises as chips get thinner and as material strength rises, so the values here are mid-range figures that suit rough estimating and roughing comparisons rather than finishing cuts.

**Bullets:**

- MRR (in3/min) = ae x ap x feed (IPM)
- Cutting hp = MRR x unit power
- Spindle hp = cutting hp / efficiency

#### Worked example

**Body:** A 0.25 inch stepover, 0.5 inch depth of cut and 30 IPM feed in aluminum gives 0.25 x 0.5 x 30 = 3.75 in3/min. At 0.3 hp per in3/min that is about 1.1 hp at the cutter and roughly 1.4 hp at the spindle with 0.8 efficiency. In stainless at 1.4 hp the same geometry would ask for about 6.6 hp at the spindle, which is why the same program can be easy in aluminum and stall a small machine in stainless.

#### Common mistakes

**Body:** People often chase MRR with feed alone. Raising depth or width usually increases MRR more safely than raising feed, because chip load stays inside the cutter's design range. Another mistake is checking only peak spindle horsepower: at low RPM many spindles produce a fraction of rated power, so a cut that fits on paper can still stall. Also remember that MRR for turning uses a different formula, depth x feed per revolution x cutting speed.

**Cta:** If cycle time estimates in your ERP routings are built from guesswork, Netray can help compare standards against logged production times from your own data.

**Faq:**

#### What is the formula for material removal rate in milling?

**Answer:** MRR equals the radial width of cut times the axial depth of cut times the feed rate. With inches and inches per minute the result is cubic inches per minute. Multiply by 16.387 for cubic centimeters per minute.

#### How do I estimate the horsepower a cut needs?

**Answer:** Multiply MRR by the unit power of the workpiece material, then divide by machine efficiency. The result is an estimate for spindle horsepower. Always compare it with the power available at your actual RPM, not just the nameplate rating.

#### Is a higher MRR always better?

**Answer:** No. Higher MRR shortens cycle time but raises cutting forces, heat and deflection. Past a point tool life falls faster than cycle time improves, so total cost rises. Use the Taylor tool life calculator on this site to balance the two.

#### Does the MRR formula work for turning?

**Answer:** Turning MRR is depth of cut times feed per revolution times cutting speed in consistent units, for example inches x inches per rev x inches per minute. This tool is set up for milling with width, depth and table feed.

## Search terms

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