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Cutting Force given Thrust Force and Normal Rake Angle Formula

GoCutting Force given Shear Force and Thrust Force Formula

GoCutting Force for Frictional Force along Tool Rake Face and Thrust Force Formula

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Force Exerted During Cutting is the force on workpiece in the direction of cutting, the same direction as the cutting speed. Check FAQs

F c = \frac{F N + F T \cdot \sin (α o)}{\cos (α o)}

F_c - Force Exerted During Cutting?F_N - Force Normal to Shear Force?F_T - Thrust force in Machining?α_o - Orthogonal Rake Angle?

Cutting Force given Thrust Force and Normal Rake Angle Example

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Here is how the Cutting Force given Thrust Force and Normal Rake Angle equation looks like with Values.

Here is how the Cutting Force given Thrust Force and Normal Rake Angle equation looks like with Units.

Here is how the Cutting Force given Thrust Force and Normal Rake Angle equation looks like.

11.3392 = \frac{7.32 + 5 \cdot \sin (30)}{\cos (30)}

11.3392N = \frac{7.32N + 5N \cdot \sin (30°)}{\cos (30°)}

11.3392 = \frac{7.32 + 5 \cdot \sin (30)}{\cos (30)}

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Cutting Force given Thrust Force and Normal Rake Angle Solution

Follow our step by step solution on how to calculate Cutting Force given Thrust Force and Normal Rake Angle?

FIRST Step Consider the formula

F c = \frac{F N + F T \cdot \sin (α o)}{\cos (α o)}

Next Step Substitute values of Variables

∴

F c = \frac{7.32N + 5N \cdot \sin (30°)}{\cos (30°)}

Next Step Convert Units

∴

F c = \frac{7.32N + 5N \cdot \sin (0.5236rad)}{\cos (0.5236rad)}

Next Step Prepare to Evaluate

∴

F c = \frac{7.32 + 5 \cdot \sin (0.5236)}{\cos (0.5236)}

Next Step Evaluate

∴

F c = 11.3391592868843N

LAST Step Rounding Answer

∴

F c = 11.3392N

Cutting Force given Thrust Force and Normal Rake Angle Formula Elements

Variables

Functions

Force Exerted During Cutting

Force Exerted During Cutting is the force on workpiece 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 Force Exerted During Cutting

Force Normal to Shear Force

Force normal to shear Force can be referred as the force which is perpendicular to the shear force.

Symbol: F_N

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Force Normal to Shear Force

Thrust force in Machining

Thrust force in machining is the force acting perpendicular to job piece.

Symbol: F_T

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Thrust force in Machining

Orthogonal Rake Angle

The orthogonal Rake Angle is the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane in orthogonal cutting.

Symbol: α_o

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Orthogonal Rake Angle

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 to find Force Exerted During Cutting

Go Cutting Force given Shear Force and Thrust Force

F c = \frac{F s + (F T \cdot \sin (Φ))}{\cos (Φ)}

Go Cutting Force for Frictional Force along Tool Rake Face and Thrust Force

F c = \frac{F - (F T \cdot (\cos (α o)))}{\sin (α o)}

Go Cutting force for given resultant force in merchant circle, friction angle and normal rake angle

F c = R \cdot \cos (β - α)

Go Cutting force for given force along shear force, shear, friction and normal rake angles

F c = F s \cdot \frac{\cos (β - α)}{\cos (Φ + β - α)}

How to Evaluate Cutting Force given Thrust Force and Normal Rake Angle?

Cutting Force given Thrust Force and Normal Rake Angle evaluator uses Force Exerted During Cutting = (Force Normal to Shear Force+Thrust force in Machining*sin(Orthogonal Rake Angle))/cos(Orthogonal Rake Angle) to evaluate the Force Exerted During Cutting, The Cutting Force given Thrust Force and Normal Rake Angle formula is defined as the ratio of normal force plus the thrust force acting on the job piece to the cos of normal rake angle. Force Exerted During Cutting is denoted by F_c symbol.

How to evaluate Cutting Force given Thrust Force and Normal Rake Angle using this online evaluator? To use this online evaluator for Cutting Force given Thrust Force and Normal Rake Angle, enter Force Normal to Shear Force (F_N), Thrust force in Machining (F_T) & Orthogonal Rake Angle (α_o) and hit the calculate button.

FAQs on Cutting Force given Thrust Force and Normal Rake Angle

What is the formula to find Cutting Force given Thrust Force and Normal Rake Angle?

The formula of Cutting Force given Thrust Force and Normal Rake Angle is expressed as Force Exerted During Cutting = (Force Normal to Shear Force+Thrust force in Machining*sin(Orthogonal Rake Angle))/cos(Orthogonal Rake Angle). Here is an example- 15.66929 = (7.32+5*sin(0.5235987755982))/cos(0.5235987755982).

How to calculate Cutting Force given Thrust Force and Normal Rake Angle?

With Force Normal to Shear Force (F_N), Thrust force in Machining (F_T) & Orthogonal Rake Angle (α_o) we can find Cutting Force given Thrust Force and Normal Rake Angle using the formula - Force Exerted During Cutting = (Force Normal to Shear Force+Thrust force in Machining*sin(Orthogonal Rake Angle))/cos(Orthogonal Rake Angle). This formula also uses Sine (sin), Cosine (cos) function(s).

What are the other ways to Calculate Force Exerted During Cutting?

Here are the different ways to Calculate Force Exerted During Cutting-

Force Exerted During Cutting=(Force Along Shear Force+(Thrust force in Machining*sin(Shear Angle)))/(cos(Shear Angle))
Force Exerted During Cutting=(Frictional Force in Machining-(Thrust force in Machining*(cos(Orthogonal Rake Angle))))/(sin(Orthogonal Rake Angle))
Force Exerted During Cutting=Resultant Force*cos(Friction Angle-Rake Angle)

Can the Cutting Force given Thrust Force and Normal Rake Angle be negative?

No, the Cutting Force given Thrust Force and Normal Rake Angle, measured in Force cannot be negative.

Which unit is used to measure Cutting Force given Thrust Force and Normal Rake Angle?

Cutting Force given Thrust Force and 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 Cutting Force given Thrust Force and Normal Rake Angle can be measured.

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: Value
: Unit

Cutting Force given Thrust Force and Normal Rake Angle Formula

​GoCutting Force given Shear Force and Thrust Force Formula

​GoCutting Force for Frictional Force along Tool Rake Face and Thrust Force Formula

Cutting Force given Thrust Force and Normal Rake Angle Example

Cutting Force given Thrust Force and Normal Rake Angle Solution

Cutting Force given Thrust Force and Normal Rake Angle Formula Elements

Other Formulas to find Force Exerted During Cutting

How to Evaluate Cutting Force given Thrust Force and Normal Rake Angle?

FAQs on Cutting Force given Thrust Force and Normal Rake Angle

Variable Name

GoCutting Force given Shear Force and Thrust Force Formula

GoCutting Force for Frictional Force along Tool Rake Face and Thrust Force Formula