How to Calculate and Solve for Metal Removal Rate (for Single Point tools) | Metal Forming processes

Last Updated on March 8, 2021

The image above represents metal removal rate.

To compute for metal removal rate, two essential parameters are needed and these parameters are Cross – Sectional Area of Uncut Chip (A_c) and Cutting Velocity (v).

The formula for calculating metal removal rate:

MRR = 1000 x A_c x v

Where:

MRR = Metal Removal Rate (for Single Point tools)
A_c = Cross – Sectional Area of Uncut Chip
v = Cutting Velocity

Let’s solve an example;
Find the metal removal rate when the cross-sectional area of uncut chip is 20 and the cutting velocity is 10.

This implies that;

A_c = Cross – Sectional Area of Uncut Chip = 20
v = Cutting Velocity = 10

MRR = 1000 x A_c x v
MRR = 1000 x 20 x 10
MRR = 200000

Therefore, the metal removal rate is 200000.

Calculating the Cross-Sectional Area of Uncut Chip when the Metal Removal Rate and the Cutting Velocity is Given.

A_c = ^MRR / _{1000 x v}

Where;

A_c = Cross – Sectional Area of Uncut Chip
MRR = Metal Removal Rate (for Single Point tools)
v = Cutting Velocity

Let’s solve an example;
Find the cross-sectional area of uncut chip when the metal removal rate is 400 and the cutting velocity is 2.

This implies that;

MRR = Metal Removal Rate (for Single Point tools) = 400
v = Cutting Velocity = 2

A_c = ^MRR / _{1000 x v}
A_c = ⁴⁰⁰ / _{1000 x 2}
A_c = ⁴⁰⁰ / ₂₀₀₀
A_c = 0.2

Therefore, the cross-sectional area of uncut chip is 0.2.

Calculating the Cutting Velocity when the Metal Removal Rate and the Cross-Sectional Area of Uncut Chip is Given.

v = ^MRR / _{1000 x Ac}

Where;

v = Cutting Velocity
MRR = Metal Removal Rate (for Single Point tools)
A_c = Cross – Sectional Area of Uncut Chip

Let’s solve an example;
Find the cutting velocity when the metal removal rate is 2000 and the cross-sectional area of uncut chip is 4.

This implies that;

MRR = Metal Removal Rate (for Single Point tools) = 2000
A_c = Cross – Sectional Area of Uncut Chip = 4

v = ^MRR / _{1000 x Ac}
v = ²⁰⁰⁰ / _{1000 x 4}
v = ²⁰⁰⁰ / ₄₀₀₀
v = 0.5

Therefore, the cutting velocity is 0.5.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the metal removal rate (for single point tools).

To get the answer and workings of the metal removal rate (for single point tools) using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

Web – https://www.nickzom.org/calculator-plus

To get access to the professional version via web, you need to register and subscribe for NGN 2,000 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator

Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.

Now, Click on Metal Forming Processes under Materials and Metallurgical

Now, Click on Metal Removal Rate (for Single Point Tools) under Metal Forming Processes

The screenshot below displays the page or activity to enter your values, to get the answer for the metal removal rate (for single point tools) according to the respective parameters which is the Cross – Sectional Area of Uncut Chip (A_c) and Cutting Velocity (v).

Now, enter the value appropriately and accordingly for the parameter as required by the Cross – Sectional Area of Uncut Chip (A_c) is 20 and Cutting Velocity (v) is 10.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the metal removal rate (for single point tools) and presents the formula, workings and steps too.