How to Calculate and Solve for Cutting Ratio | Mechanics of Chips Formation

The image above represents cutting ratio. To calculate the cutting ratio, two essential parameters are needed, and these parameters are needed, and these parameters Work Press Velocity (v) and Chip Velocity (VC).

The formula for calculating cutting ratio:

r = ^v_c / _v

Where:

r = Cutting Ratio
v = Work Press Velocity
v_c = Chip Velocity

Let’s solve an example;
Find the cutting ratio when the work press velocity is 7 and the chip velocity is 42.

This implies that;

v = Work Press Velocity = 7
v_c = Chip Velocity = 42

r = ^v_c / _v
That is, r = ⁴² / ₇
r = 6

Therefore, the cutting ratio is 6.

Calculating for Work Press Velocity when the Cutting Ratio and the Chip Velocity are Given

v = r x v_c

Where;

v = Work Press Velocity
r = Cutting Ratio
v_c = Chip Velocity

Let’s solve an example;
Find the work press velocity when the cutting ratio is 20 and the chip velocity is 8.

This implies that;

r = Cutting Ratio = 20
v_c = Chip Velocity = 8

v = r x v_c
Then, v = 20 x 8
v = 160

Therefore, the work press velocity is 160.

Read more: How to Calculate and Solve for Chip Reduction Factor | Mechanics of Chip Formation

Calculating for the Chip Velocity when the Cutting Ratio and the Work Press Velocity are Given

v_c = ^v / _r

Where;

v_c = Chip Velocity
r = Cutting Ratio
v = Work Press Velocity

Let’s solve an example;
Find the chip velocity when the cutting ratio is 12 and the work press velocity is 36.

This implies that;

r = Cutting Ratio = 12
v = Work Press Velocity = 36

That is, v_c = ^v / _r
v_c = ³⁶ / ₁₂
v_c = 3

Therefore, the chip velocity is 3.

Read more: How to Calculate and Solve for Cutting Ratio / Mechanics of Chips Formation

How to Calculate Cutting Ratio in Mechanics of Chips Formation Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the cutting ratio.

To get the answer and workings of the cutting ratio 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.

So, Click on Metal Forming Processes under Materials and Metallurgical

Now, Click on Mechanics of Chips Formation under Metal Forming Processes

Now, Click on Cutting Ratio under Mechanics of Chips Formation

The screenshot below displays the page or activity to enter your values to get the answer for the cutting ratio according to the respective parameters, which are the Work Press Velocity (v) and Chip Velocity (VC).

Now, enter the values appropriately and accordingly for the parameters as required by the Work Press Velocity (v) is 7 and Chip Velocity (v_c) is 42.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the cutting ratio and presents the formula, workings and steps too.