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

✖Thrust force on workpiece which acts perpendicularly on the workpiece.ⓘ Thrust Force on Workpiece [F_thrst]			+10% -10%
✖Cutting Force is the force in the direction of cutting, the same direction as the cutting speed.ⓘ Cutting Force [F_cttng]			+10% -10%
✖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.ⓘ Normal Rake Angle of Tool [α_nrm]			+10% -10%

✖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.ⓘ Coefficient of friction for given thrust force, cutting force and normal rake angle [μ]

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

Formula

`"μ" = ("F"_{"thrst"}+"F"_{"cttng"}*tan("α"_{"nrm"}))/("F"_{"cttng"}-"F"_{"thrst"}*tan("α"_{"nrm"}))`

Example

`"0.400099"=("16.095N"+"77N"*tan("10°"))/("77N"-"16.095N"*tan("10°"))`

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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 = (F_thrst+F_cttng*tan(α_nrm))/(F_cttng-F_thrst*tan(α_nrm))
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 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 = (F_thrst+F_cttng*tan(α_nrm))/(F_cttng-F_thrst*tan(α_nrm)) --> (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 00.020 seconds)

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Home » Engineering » Production Engineering » Metal Cutting » Merchant Force Circle » Forces and Friction » Coefficient of friction for given thrust force, cutting force and normal rake angle

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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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 on Workpiece+Cutting Force*tan(Normal Rake Angle of Tool))/(Cutting Force-Thrust Force on Workpiece*tan(Normal Rake Angle of Tool))

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 of Tool)))+(Force Normal on Workpiece*(cos(Normal Rake Angle of Tool)))

Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle

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

Go Shear Force on Job = Shear Stress on Workpiece*Area of the Shear Plane

Coefficient of Friction given Forces Normal and along Tool Rake Face

Go Coefficient of Friction = Force of Friction/Normal Force on Workpiece

Coefficient of friction for given friction angle

Go Coefficient of Friction = tan(Angle of Friction)

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

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 (F_thrst), Cutting Force (F_cttng) & Normal Rake Angle of Tool (α_nrm) 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 = (F_thrst+F_cttng*tan(α_nrm))/(F_cttng-F_thrst*tan(α_nrm)) 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 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 (F_thrst), Cutting Force (F_cttng) & Normal Rake Angle of Tool (α_nrm). 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

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