How to Calculate and Solve for Frictional Resistance of the Tool acting on the Chip | Merchant Force Circle

Last Updated on April 27, 2024

The image above represents frictional resistance of the tool acting on the chip. To calculate frictional resistance of the tool acting on the chip, three essential parameters are needed and these parameters are Cutting Force (Horizontal Force Component) (F_c), Cross Force (Vertical Force Component) (F_t) and Rake Angle (α).

The formula for calculating frictional resistance of the tool acting on the chip:

N = F_csinα – F_tcosα

Where:

N = Frictional Resistance of the Tool acting on the Chip
F_c = Cutting Force (Horizontal Force Component)
F_t = Cross Force (Vertical Force Component)
α = Rake Angle

Let’s solve an example;
Find the frictional resistance of the tool acting on the chip when the cutting force is 10, the cross force is 15 and the rake angle is 8.

This implies that;

F_c = Cutting Force (Horizontal Force Component) = 10
F_t = Cross Force (Vertical Force Component) = 15
α = Rake Angle = 8

N = F_csinα – F_tcosα
F = 10 x sin8° + 15 x cos8°
That is, F = 10 x 0.139 + 15 x 0.99
F = 1.39 + 14.85
F = 16.25

Therefore, the frictional resistance of the tool acting on the chip is 16.25 N.

Read more: How to Calculate and Solve for Force at the Tool Chip Interface acting Normal to the Cutting Force of the Tool | Merchant Force Circle

How to Calculate Frictional Resistance of the Tool acting on the Chip With Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the frictional resistance of the tool acting on the chip.

To get the answer and workings of the frictional resistance of the tool acting on the chip 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 Merchant Force Circle under Metal Forming Processes

Now, Click on Frictional Resistance of the Tool acting on the Chip under Merchant Force Circle

The screenshot below displays the page or activity to enter your values, to get the answer for the frictional resistance of the tool acting on the chip according to the respective parameters which is the Cutting Force (Horizontal Force Component) (F_c), Cross Force (Vertical Force Component) (F_t) and Rake Angle (α).

Now, enter the values appropriately and accordingly for the parameters as required by the Cutting Force (Horizontal Force Component) (F_c) is 10, Cross Force (Vertical Force Component) (F_t) is 15 and Rake Angle (α) is 8.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the frictional resistance of the tool acting on the chip and presents the formula, workings and steps too.