Coefficient of friction for given thrust force, cutting force and normal rake angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Coefficient of Friction = (Thrust Force on Workpiece+Cutting Force*tan(Normal Rake Angle of Tool))/(Cutting Force-Thrust Force on Workpiece*tan(Normal Rake Angle of Tool))
μ = (Fthrust+Fc*tan(αN))/(Fc-Fthrust*tan(αN))
This formula uses 1 Functions, 4 Variables
Functions Used
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
Variables Used
Coefficient of Friction - The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.
Thrust Force on Workpiece - (Measured in Newton) - Thrust Force on Workpiece is the force that propels the workpiece in a specific direction which acts perpendicularly on the workpiece.
Cutting Force - (Measured in Newton) - Cutting Force is the force in the direction of cutting, the same direction as the cutting speed.
Normal Rake Angle of Tool - (Measured in Radian) - Normal rake angle of tool is the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane.
STEP 1: Convert Input(s) to Base Unit
Thrust Force on Workpiece: 16.095 Newton --> 16.095 Newton No Conversion Required
Cutting Force: 77 Newton --> 77 Newton No Conversion Required
Normal Rake Angle of Tool: 10 Degree --> 0.1745329251994 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μ = (Fthrust+Fc*tan(αN))/(Fc-Fthrust*tan(αN)) --> (16.095+77*tan(0.1745329251994))/(77-16.095*tan(0.1745329251994))
Evaluating ... ...
μ = 0.400099385327204
STEP 3: Convert Result to Output's Unit
0.400099385327204 --> No Conversion Required
FINAL ANSWER
0.400099385327204 0.400099 <-- Coefficient of Friction
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
Sanjay Krishna has created this Calculator and 300+ more calculators!
Verifier Image
Verified by Rushi Shah
K J Somaiya College of Engineering (K J Somaiya), Mumbai
Rushi Shah has verified this Calculator and 200+ more calculators!

Forces and Friction Calculators

Coefficient of friction for given thrust force, cutting force and normal rake angle
​ LaTeX ​ Go Coefficient of Friction = (Thrust Force on Workpiece+Cutting Force*tan(Normal Rake Angle of Tool))/(Cutting Force-Thrust Force on Workpiece*tan(Normal Rake Angle of Tool))
Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle
​ LaTeX ​ Go Friction Angle = (arccos(Force along shear plane/Resultant Force on Job))+Tool Rake Angle-Shearing Angle in Machining
Shear force acting on shear plane for given shear stress and area of shear plane
​ LaTeX ​ Go Shear Force on Job = Shear Stress on Workpiece*Area of the Shear Plane
Coefficient of friction for given friction angle
​ LaTeX ​ Go Coefficient of Friction = tan(Angle of Friction)

Coefficient of friction for given thrust force, cutting force and normal rake angle Formula

​LaTeX ​Go
Coefficient of Friction = (Thrust Force on Workpiece+Cutting Force*tan(Normal Rake Angle of Tool))/(Cutting Force-Thrust Force on Workpiece*tan(Normal Rake Angle of Tool))
μ = (Fthrust+Fc*tan(αN))/(Fc-Fthrust*tan(αN))

Coefficient of friction calculation using the thrust force, cutting force and normal rake angle

Coefficient of friction can be calculated using the thrust force, cutting force and rake angle. This equation is usually used to fid the cutting force or thrust force with the help of frictional force, normal force or coefficient of friction

How to Calculate Coefficient of friction for given thrust force, cutting force and normal rake angle?

Coefficient of friction for given thrust force, cutting force and normal rake angle calculator uses Coefficient of Friction = (Thrust Force on Workpiece+Cutting Force*tan(Normal Rake Angle of Tool))/(Cutting Force-Thrust Force on Workpiece*tan(Normal Rake Angle of Tool)) to calculate the Coefficient of Friction, The Coefficient of friction for given thrust force, cutting force and normal rake angle formula is defined as the ratio of the thrust force plus the cutting force at tangent of normal rake angle to the cutting force minus the thrust force tangent of normal rake angle. Coefficient of Friction is denoted by μ symbol.

How to calculate Coefficient of friction for given thrust force, cutting force and normal rake angle using this online calculator? To use this online calculator for Coefficient of friction for given thrust force, cutting force and normal rake angle, enter Thrust Force on Workpiece (Fthrust), Cutting Force (Fc) & Normal Rake Angle of Tool N) and hit the calculate button. Here is how the Coefficient of friction for given thrust force, cutting force and normal rake angle calculation can be explained with given input values -> 0.202068 = (16.095+77*tan(0.1745329251994))/(77-16.095*tan(0.1745329251994)).

FAQ

What is Coefficient of friction for given thrust force, cutting force and normal rake angle?
The Coefficient of friction for given thrust force, cutting force and normal rake angle formula is defined as the ratio of the thrust force plus the cutting force at tangent of normal rake angle to the cutting force minus the thrust force tangent of normal rake angle and is represented as μ = (Fthrust+Fc*tan(αN))/(Fc-Fthrust*tan(αN)) or Coefficient of Friction = (Thrust Force on Workpiece+Cutting Force*tan(Normal Rake Angle of Tool))/(Cutting Force-Thrust Force on Workpiece*tan(Normal Rake Angle of Tool)). Thrust Force on Workpiece is the force that propels the workpiece in a specific direction which acts perpendicularly on the workpiece, Cutting Force is the force in the direction of cutting, the same direction as the cutting speed & Normal rake angle of tool is the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane.
How to calculate Coefficient of friction for given thrust force, cutting force and normal rake angle?
The Coefficient of friction for given thrust force, cutting force and normal rake angle formula is defined as the ratio of the thrust force plus the cutting force at tangent of normal rake angle to the cutting force minus the thrust force tangent of normal rake angle is calculated using Coefficient of Friction = (Thrust Force on Workpiece+Cutting Force*tan(Normal Rake Angle of Tool))/(Cutting Force-Thrust Force on Workpiece*tan(Normal Rake Angle of Tool)). To calculate Coefficient of friction for given thrust force, cutting force and normal rake angle, you need Thrust Force on Workpiece (Fthrust), Cutting Force (Fc) & Normal Rake Angle of Tool N). With our tool, you need to enter the respective value for Thrust Force on Workpiece, Cutting Force & Normal Rake Angle of Tool and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Coefficient of Friction?
In this formula, Coefficient of Friction uses Thrust Force on Workpiece, Cutting Force & Normal Rake Angle of Tool. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Coefficient of Friction = tan(Angle of Friction)
  • Coefficient of Friction = Force of Friction/Normal Force on Workpiece
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!