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Coefficient of friction for given friction angle Formula

GoCoefficient of friction for given thrust force, cutting force and normal rake 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 = \tan (β o)

μ - Coefficient of Friction?β_o - Angle of Friction?

Coefficient of friction for given friction angle Example

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Here is how the Coefficient of friction for given friction angle equation looks like with Values.

Here is how the Coefficient of friction for given friction angle equation looks like with Units.

Here is how the Coefficient of friction for given friction angle equation looks like.

0.4001 = \tan (21.806)

0.4001 = \tan (21.806°)

0.4001 = \tan (21.806)

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Coefficient of friction for given friction angle Solution

Follow our step by step solution on how to calculate Coefficient of friction for given friction angle?

FIRST Step Consider the formula

μ = \tan (β o)

Next Step Substitute values of Variables

∴

μ = \tan (21.806°)

Next Step Convert Units

∴

μ = \tan (0.3806rad)

Next Step Prepare to Evaluate

∴

μ = \tan (0.3806)

Next Step Evaluate

∴

μ = 0.400092941688617

LAST Step Rounding Answer

∴

μ = 0.4001

Coefficient of friction for given friction 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

Angle of Friction

The angle of friction is the angle of a plane to the horizontal when a body placed on the plane will just start to slide.

Symbol: β_o

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Friction

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 thrust force, cutting force and normal rake angle

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

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 friction angle?

Coefficient of friction for given friction angle evaluator uses Coefficient of Friction = tan(Angle of Friction) to evaluate the Coefficient of Friction, The Coefficient of friction for given friction angle formula is defined as the Tangent of the angle of friction. Coefficient of Friction is denoted by μ symbol.

How to evaluate Coefficient of friction for given friction angle using this online evaluator? To use this online evaluator for Coefficient of friction for given friction angle, enter Angle of Friction (β_o) and hit the calculate button.

FAQs on Coefficient of friction for given friction angle

What is the formula to find Coefficient of friction for given friction angle?

The formula of Coefficient of friction for given friction angle is expressed as Coefficient of Friction = tan(Angle of Friction). Here is an example- 0.445229 = tan(0.380586496689812).

How to calculate Coefficient of friction for given friction angle?

With Angle of Friction (β_o) we can find Coefficient of friction for given friction angle using the formula - Coefficient of Friction = tan(Angle of Friction). 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=(Thrust Force on Workpiece+Cutting Force*tan(Normal Rake Angle of Tool))/(Cutting Force-Thrust Force on Workpiece*tan(Normal Rake Angle of Tool))
Coefficient of Friction=Force of Friction/Normal Force on Workpiece

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