How to Calculate and Solve for Co-efficient of Friction | Merchant Force Circle
Last Updated on April 27, 2024
The image above represents co-efficient of friction. To calculate co-efficient of friction, two essential parameters are needed and these parameters are Frictional Resistance of the Tool acting on the Chip (F) and Force at the Tool Chip Interface acting Normal to the Cutting Force of the Tool (N).
The formula for calculating co-efficient of friction:
μ = F / N
Where:
μ = Co-efficient of Friction
F = Frictional Resistance of the Tool acting on the Chip
N = Force at the Tool Chip Interface acting Normal to the Cutting Force of the Tool
Let’s solve an example;
Find the co-efficient of friction when the frictional resistance of the tool acting on the chip is 48 and the force at the tool chip interface acting normal to the cutting force of the tool is 12.
This implies that;
F = Frictional Resistance of the Tool acting on the Chip = 48
N = Force at the Tool Chip Interface acting Normal to the Cutting Force of the Tool = 12
μ = F / N
That is, μ = 48 / 12
μ = 4
Therefore, the co-efficient of friction is 4.
Calculating the Frictional Resistance of the Tool acting on the Chip when the Co-efficient of Friction and the Force at the Tool Chip Interface acting Normal to the Cutting Force of the Tool are Given
F = μ x N
Where;
F = Frictional Resistance of the Tool acting on the Chip
μ = Co-efficient of Friction
N = Force at the Tool Chip Interface acting Normal to the Cutting Force of the Tool
Let’s solve an example;
Find the frictional resistance of the tool acting on the chip when the co-efficient of friction is 30 and the force at the tool chip interface acting normal to the cutting force of the tool is 15.
This implies that;
μ = Co-efficient of Friction = 30
N = Force at the Tool Chip Interface acting Normal to the Cutting Force of the Tool = 15
That is, F = μ x N
F = 30 x 15
F = 450
Therefore, the frictional resistance of the tool acting on the chip is 450 N.
Read more: How to Calculate and Solve for Angle of Friction | Merchant Force Circle
Calculating the Force at the Tool Chip Interface acting Normal to the Cutting Force of the Tool when the Co-efficient of Friction and the Frictional Resistance of the Tool acting on the Chip is Given
N = F / μ
Where;
N = Force at the Tool Chip Interface acting Normal to the Cutting Force of the Tool
μ = Co-efficient of Friction
F = Frictional Resistance of the Tool acting on the Chip
Let’s solve an example;
Given that the co-efficient of friction is 20 and the frictional resistance of the tool acting on the chip is 180. Find the force at the tool chip interface acting normal to the cutting force of the tool?
This implies that;
μ = Co-efficient of Friction = 20
F = Frictional Resistance of the Tool acting on the Chip = 180
N = F / μ
That is, N = 180 / 20
N = 9
Therefore, the force at the tool chip interface acting normal to cutting force of the tool is 9 N.
How to Calculate Co-efficient of Friction Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the co-efficient of friction.
To get the answer and workings of the co-efficient of friction 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 Merchant Force Circle under Metal Forming Processes
So, Click on Co-efficient of Friction under Merchant Force Circle
The screenshot below displays the page or activity to enter your values, to get the answer for the co-efficient of friction according to the respective parameters which is the Frictional Resistance of the Tool acting on the Chip (F) and Force at the Tool Chip Interface acting Normal to the Cutting Force of the Tool (N).
Now, enter the values appropriately and accordingly for the parameters as required by the Frictional Resistance of the Tool acting on the Chip (F) is 48 and Force at the Tool Chip Interface acting Normal to the Cutting Force of the Tool (N) is 12.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the co-efficient of friction and presents the formula, workings and steps too.