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

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Frictional Force on Sleeve refers to the force generated by two surfaces that contacts and slide against each other. Check FAQs

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

F_sleeve - Frictional Force on Sleeve?F_c - Cutting Force?α_N - Normal Rake Angle of Tool?F_N - Force Normal on Workpiece?

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

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Here is how the Frictional force along tool rake face for given cutting and thrust forces, normal rake angle equation looks like with Values.

Here is how the Frictional force along tool rake face for given cutting and thrust forces, normal rake angle equation looks like with Units.

Here is how the Frictional force along tool rake face for given cutting and thrust forces, normal rake angle equation looks like.

18.4998 = (77 \cdot (\sin (10))) + (5.208 \cdot (\cos (10)))

18.4998N = (77N \cdot (\sin (10°))) + (5.208N \cdot (\cos (10°)))

18.4998 = (77 \cdot (\sin (10))) + (5.208 \cdot (\cos (10)))

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

Follow our step by step solution on how to calculate Frictional force along tool rake face for given cutting and thrust forces, normal rake angle?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

F sleeve = (77N \cdot (\sin (10°))) + (5.208N \cdot (\cos (10°)))

Next Step Convert Units

∴

F sleeve = (77N \cdot (\sin (0.1745rad))) + (5.208N \cdot (\cos (0.1745rad)))

Next Step Prepare to Evaluate

∴

F sleeve = (77 \cdot (\sin (0.1745))) + (5.208 \cdot (\cos (0.1745)))

Next Step Evaluate

∴

F sleeve = 18.4997884580387N

LAST Step Rounding Answer

∴

F sleeve = 18.4998N

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

Variables

Functions

Frictional Force on Sleeve

Frictional Force on Sleeve refers to the force generated by two surfaces that contacts and slide against each other.

Symbol: F_sleeve

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Frictional Force on Sleeve

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

Force Normal on Workpiece

Force normal on workpiece is the resultant force of all the axial forces (F) acting on workpiece.

Symbol: F_N

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Force Normal on Workpiece

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

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 Coefficient of friction for given friction angle

μ = \tan (β o)

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 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

How to Evaluate Frictional force along tool rake face for given cutting and thrust forces, normal rake angle?

Frictional force along tool rake face for given cutting and thrust forces, normal rake angle evaluator uses Frictional Force on Sleeve = (Cutting Force*(sin(Normal Rake Angle of Tool)))+(Force Normal on Workpiece*(cos(Normal Rake Angle of Tool))) to evaluate the Frictional Force on Sleeve, Frictional force along tool rake face for given cutting and thrust forces, normal rake angle formula is defined using these relations. Please refer to Merchant theory. Frictional Force on Sleeve is denoted by F_sleeve symbol.

How to evaluate Frictional force along tool rake face for given cutting and thrust forces, normal rake angle using this online evaluator? To use this online evaluator for Frictional force along tool rake face for given cutting and thrust forces, normal rake angle, enter Cutting Force (F_c), Normal Rake Angle of Tool (α_N) & Force Normal on Workpiece (F_N) and hit the calculate button.

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

What is the formula to find Frictional force along tool rake face for given cutting and thrust forces, normal rake angle?

The formula of Frictional force along tool rake face for given cutting and thrust forces, normal rake angle is expressed as Frictional Force on Sleeve = (Cutting Force*(sin(Normal Rake Angle of Tool)))+(Force Normal on Workpiece*(cos(Normal Rake Angle of Tool))). Here is an example- 117.5748 = (77*(sin(0.1745329251994)))+(5.208*(cos(0.1745329251994))).

How to calculate Frictional force along tool rake face for given cutting and thrust forces, normal rake angle?

With Cutting Force (F_c), Normal Rake Angle of Tool (α_N) & Force Normal on Workpiece (F_N) we can find Frictional force along tool rake face for given cutting and thrust forces, normal rake angle using the formula - Frictional Force on Sleeve = (Cutting Force*(sin(Normal Rake Angle of Tool)))+(Force Normal on Workpiece*(cos(Normal Rake Angle of Tool))). This formula also uses Sine (sin), Cosine (cos) function(s).

Can the Frictional force along tool rake face for given cutting and thrust forces, normal rake angle be negative?

No, the Frictional force along tool rake face for given cutting and thrust forces, normal rake angle, measured in Force cannot be negative.

Which unit is used to measure Frictional force along tool rake face for given cutting and thrust forces, normal rake angle?

Frictional force along tool rake face for given cutting and thrust forces, normal rake angle is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Frictional force along tool rake face for given cutting and thrust forces, normal rake angle can be measured.

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

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

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

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

Other formulas in Forces and Friction category

How to Evaluate Frictional force along tool rake face for given cutting and thrust forces, normal rake angle?

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

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