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

GoCoefficient of friction for given friction angle Formula

GoCoefficient of Friction given Forces Normal and along Tool Rake Face Formula

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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. Check FAQs

μ = \frac{F thrust + F c \cdot \tan (α N)}{F c - F thrust \cdot \tan (α N)}

μ - Coefficient of Friction?F_thrust - Thrust Force on Workpiece?F_c - Cutting Force?α_N - Normal Rake Angle of Tool?

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

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Here is how the Coefficient of friction for given thrust force, cutting force and normal rake angle equation looks like with Values.

Here is how the Coefficient of friction for given thrust force, cutting force and normal rake angle equation looks like with Units.

Here is how the Coefficient of friction for given thrust force, cutting force and normal rake angle equation looks like.

0.4001 = \frac{16.095 + 77 \cdot \tan (10)}{77 - 16.095 \cdot \tan (10)}

0.4001 = \frac{16.095N + 77N \cdot \tan (10°)}{77N - 16.095N \cdot \tan (10°)}

0.4001 = \frac{16.095 + 77 \cdot \tan (10)}{77 - 16.095 \cdot \tan (10)}

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

Follow our step by step solution on how to calculate Coefficient of friction for given thrust force, cutting force and normal rake angle?

FIRST Step Consider the formula

μ = \frac{F thrust + F c \cdot \tan (α N)}{F c - F thrust \cdot \tan (α N)}

Next Step Substitute values of Variables

∴

μ = \frac{16.095N + 77N \cdot \tan (10°)}{77N - 16.095N \cdot \tan (10°)}

Next Step Convert Units

∴

μ = \frac{16.095N + 77N \cdot \tan (0.1745rad)}{77N - 16.095N \cdot \tan (0.1745rad)}

Next Step Prepare to Evaluate

∴

μ = \frac{16.095 + 77 \cdot \tan (0.1745)}{77 - 16.095 \cdot \tan (0.1745)}

Next Step Evaluate

∴

μ = 0.400099385327204

LAST Step Rounding Answer

∴

μ = 0.4001

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

Variables

Functions

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.

Symbol: μ

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Coefficient of Friction

Thrust Force on Workpiece

Thrust Force on Workpiece is the force that propels the workpiece in a specific direction which acts perpendicularly on the workpiece.

Symbol: F_thrust

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Thrust Force on Workpiece

Cutting Force

Cutting Force is the force in the direction of cutting, the same direction as the cutting speed.

Symbol: F_c

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Cutting Force

Normal Rake Angle of Tool

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.

Symbol: α_N

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Normal Rake Angle of Tool

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.

Syntax: tan(Angle)

Other Formulas to find Coefficient of Friction

Go Coefficient of friction for given friction angle

μ = \tan (β o)

Go Coefficient of Friction given Forces Normal and along Tool Rake Face

μ = \frac{F fr}{F N}

Other formulas in Forces and Friction category

Go Shear force acting on shear plane for given shear stress and area of shear plane

F shear = 𝜏 shear \cdot A shear

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

β frc = (\arccos (\frac{F s}{R frc})) + α tool - ϕ shr

Go Frictional force along tool rake face for given cutting and thrust forces, normal rake angle

F sleeve = (F c \cdot (\sin (α N))) + (F N \cdot (\cos (α N)))

How to Evaluate 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 evaluator 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 evaluate 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 evaluate Coefficient of friction for given thrust force, cutting force and normal rake angle using this online evaluator? To use this online evaluator for Coefficient of friction for given thrust force, cutting force and normal rake angle, enter Thrust Force on Workpiece (F_thrust), Cutting Force (F_c) & Normal Rake Angle of Tool (α_N) and hit the calculate button.

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

What is the formula to find Coefficient of friction for given thrust force, cutting force and normal rake angle?

The formula of Coefficient of friction for given thrust force, cutting force and normal rake angle is expressed as 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)). Here is an example- 0.202068 = (16.095+77*tan(0.1745329251994))/(77-16.095*tan(0.1745329251994)).

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

With Thrust Force on Workpiece (F_thrust), Cutting Force (F_c) & Normal Rake Angle of Tool (α_N) we can find Coefficient of friction for given thrust force, cutting force and normal rake angle using the formula - 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)). This formula also uses Tangent (tan) function(s).

What are the other ways to Calculate Coefficient of Friction?

Here are the different ways to Calculate Coefficient of Friction-

Coefficient of Friction=tan(Angle of Friction)
Coefficient of Friction=Force of Friction/Normal Force on Workpiece

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

​GoCoefficient of friction for given friction angle Formula

​GoCoefficient of Friction given Forces Normal and along Tool Rake Face Formula

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

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

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

Other Formulas to find Coefficient of Friction

Other formulas in Forces and Friction category

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

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

Variable Name

GoCoefficient of friction for given friction angle Formula

GoCoefficient of Friction given Forces Normal and along Tool Rake Face Formula