How to Calculate and Solve for Metal Removal Rate (for Cylinderical Workpieceturning in a Lathe) | 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 Initial Diameter (D₁), Final Diameter (D₂), Cutting Force (Normal) (N) and Cutting Force (F).

The formula for calculating metal removal rate:

MRR = ^π / ₄ (D₁² – D₂²)F.N

Where:

MRR = Metal Removal Rate (for Cylinderical Workpiece turning in a Lathe)
D₁ = Initial Diameter
D₂ = Final Diameter
F = Cutting Force
N = Cutting Force (Normal)

Let’s solve an example;
With an initial diameter of 22, a final diameter of 18, a cutting force of 32 and a cutting force of 12. Find the metal removal rate?

This implies that;

D₁ = Initial Diameter = 22
D₂ = Final Diameter = 18
F = Cutting Force = 32
N = Cutting Force (Normal) = 12

MRR = ^π / ₄ (D₁² – D₂²)F.N
MRR = ^π / ₄ (22² – 18²) x 12 x 32
MRR = 0.78 x (484 – 324) x 384
MRR = 0.78 x 160 x 384
MRR = 48254.8

Therefore, the metal removal rate is 48254.8.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the metal removal rate (for cylinderical workpiece turning into a lathe).

To get the answer and workings of the metal removal rate (for cylinderical workpiece turning into a lathe) 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 Cylinderical Workpiece turning into a lathe) 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 cylinderical workpiece turning into a lathe) according to the respective parameters which is the Initial Diameter (D₁), Final Diameter (D₂), Cutting Force (Normal) (N) and Cutting Force (F).

Now, enter the value appropriately and accordingly for the parameter as required by the Initial Diameter (D₁) is 22, Final Diameter (D₂) is 18, Cutting Force (Normal) (N) is 32 and Cutting Force (F) is 12.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the metal removal rate (for cylinderical workpiece turing into a lathe) and presents the formula, workings and steps too.