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+Cutting Force*tan(Normal Rake Angle))/(Cutting Force-Thrust force*tan(Normal Rake Angle))
μfriction = (Ft+Fc*tan(αnormal))/(Fc-Ft*tan(αnormal))
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 - (Measured in Newton) - Thrust force acting perpendicular to job piece.
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 - (Measured in Radian) - The Normal Rake Angle 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: 12.5 Newton --> 12.5 Newton No Conversion Required
Cutting Force: 647.55 Newton --> 647.55 Newton No Conversion Required
Normal Rake Angle: 2.01 Degree --> 0.0350811179650794 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μfriction = (Ft+Fc*tan(αnormal))/(Fc-Ft*tan(αnormal)) --> (12.5+647.55*tan(0.0350811179650794))/(647.55-12.5*tan(0.0350811179650794))
Evaluating ... ...
μfriction = 0.0544359235632411
STEP 3: Convert Result to Output's Unit
0.0544359235632411 --> No Conversion Required
FINAL ANSWER
0.0544359235632411 0.054436 <-- Coefficient of Friction
(Calculation completed in 00.004 seconds)

Credits

Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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K J Somaiya College of Engineering (K J Somaiya), Mumbai
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6 Forces and Friction Calculators

Coefficient of friction for given thrust force, cutting force and normal rake angle
Go Coefficient of Friction = (Thrust force+Cutting Force*tan(Normal Rake Angle))/(Cutting Force-Thrust force*tan(Normal Rake Angle))
Frictional force along tool rake face for given cutting and thrust forces, normal rake angle
Go Frictional Force on Sleeve = (Cutting Force*(sin(Normal Rake Angle)))+(Axial Thrust*(cos(Normal Rake Angle)))
Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle
Go Friction Angle = (arccos(Resultant Force/Force along shear plane))+Rake Angle-Shear angle
Coefficient of Friction given Forces Normal and along Tool Rake Face
Go Coefficient of Friction = Force of Friction/Normal Force
Coefficient of friction for given friction angle
Go Coefficient of Friction = tan(Angle of Friction)
Shear force acting on shear plane for given shear stress and area of shear plane
Go Shear Force = Shear Stress*Area of Shear Plane

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

Coefficient of Friction = (Thrust force+Cutting Force*tan(Normal Rake Angle))/(Cutting Force-Thrust force*tan(Normal Rake Angle))
μfriction = (Ft+Fc*tan(αnormal))/(Fc-Ft*tan(αnormal))

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+Cutting Force*tan(Normal Rake Angle))/(Cutting Force-Thrust force*tan(Normal Rake Angle)) 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 μfriction 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 (Ft), Cutting Force (Fc) & Normal Rake Angle normal) 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 -> 0.196299 = (12.5+647.55*tan(0.0350811179650794))/(647.55-12.5*tan(0.0350811179650794)).

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 μfriction = (Ft+Fc*tan(αnormal))/(Fc-Ft*tan(αnormal)) or Coefficient of Friction = (Thrust force+Cutting Force*tan(Normal Rake Angle))/(Cutting Force-Thrust force*tan(Normal Rake Angle)). Thrust force acting perpendicular to job piece, Cutting Force is the force in the direction of cutting, the same direction as the cutting speed & The Normal Rake Angle 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+Cutting Force*tan(Normal Rake Angle))/(Cutting Force-Thrust force*tan(Normal Rake Angle)). To calculate Coefficient of friction for given thrust force, cutting force and normal rake angle, you need Thrust force (Ft), Cutting Force (Fc) & Normal Rake Angle normal). With our tool, you need to enter the respective value for Thrust force, Cutting Force & Normal Rake Angle 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, Cutting Force & Normal Rake Angle. 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
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