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) (Fc), Cross Force (Vertical Force Component) (Ft) and Rake Angle (α).
The formula for calculating frictional resistance of the tool acting on the chip:
N = Fcsinα – Ftcosα
Where:
N = Frictional Resistance of the Tool acting on the Chip
Fc = Cutting Force (Horizontal Force Component)
Ft = 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;
Fc = Cutting Force (Horizontal Force Component) = 10
Ft = Cross Force (Vertical Force Component) = 15
α = Rake Angle = 8
N = Fcsinα – Ftcosα
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.
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
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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
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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) (Fc), Cross Force (Vertical Force Component) (Ft) and Rake Angle (α).
Now, enter the values appropriately and accordingly for the parameters as required by the Cutting Force (Horizontal Force Component) (Fc) is 10, Cross Force (Vertical Force Component) (Ft) 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.