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Force acting Normal to Rake Face given Cutting Force and Thrust Force Formula

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Normal force induced on workpiece is the force which is normal to the shear force. Check FAQs
FN=F'c⋅cos(α'N)-F't⋅sin(α'N)
FN - Normal Force Induced on Workpiece?F'c - Cutting Force on Workpiece?α'N - Normal Rake Angle of Cutting Tool?F't - Thrust Force in Metal Cutting?

Force acting Normal to Rake Face given Cutting Force and Thrust Force Example

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

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

Here is how the Force acting Normal to Rake Face given Cutting Force and Thrust Force equation looks like.

36.6482Edit=150Edit⋅cos(39Edit)-127Edit⋅sin(39Edit)
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Force acting Normal to Rake Face given Cutting Force and Thrust Force Solution

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

FIRST Step Consider the formula
FN=F'c⋅cos(α'N)-F't⋅sin(α'N)
Next Step Substitute values of Variables
∴ FN=150N⋅cos(39°)-127N⋅sin(39°)
Next Step Convert Units
∴ FN=150N⋅cos(0.6807rad)-127N⋅sin(0.6807rad)
Next Step Prepare to Evaluate
∴ FN=150⋅cos(0.6807)-127⋅sin(0.6807)
Next Step Evaluate
∴FN=36.6482045552409N
LAST Step Rounding Answer
∴FN=36.6482N

Force acting Normal to Rake Face given Cutting Force and Thrust Force Formula Elements

Variables
Functions
Normal Force Induced on Workpiece
Normal force induced on workpiece is the force which is normal to the shear force.
Symbol: FN
Measurement: ForceUnit: N
Note: Value can be positive or negative.
Formulas to find Normal Force Induced on WorkpieceOpen Variable
Cutting Force on Workpiece
Cutting force on workpiece 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 on WorkpieceOpen Variable
Normal Rake Angle of Cutting Tool
Normal rake angle of cutting 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 Cutting ToolOpen Variable
Thrust Force in Metal Cutting
Thrust force in metal cutting is the force that propels an object in a specific direction.
Symbol: F't
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Formulas to find Thrust Force in Metal CuttingOpen Variable
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 Resultants and Stress category

​Go Mean normal stress in shear plane for given normal force and shear area
σn=FNAshear
​Go Normal rake angle for given Resultant force, force along shear, shear, and friction angle
α'=ϕ'+β'-arccos(FsR')
​Go Resultant force in merchant circle for given cutting force, friction and normal rake angles
R'=F'c⋅sec(β'-α')
​Go R in merchant circle for given force along shear force, shear, friction and normal rake angles
R'=Fs⋅sec(ϕ'+β'-α')

How to Evaluate Force acting Normal to Rake Face given Cutting Force and Thrust Force?

Force acting Normal to Rake Face given Cutting Force and Thrust Force evaluator uses Normal Force Induced on Workpiece = Cutting Force on Workpiece*cos(Normal Rake Angle of Cutting Tool)-Thrust Force in Metal Cutting*sin(Normal Rake Angle of Cutting Tool) to evaluate the Normal Force Induced on Workpiece, The Force acting Normal to Rake Face given Cutting Force and Thrust Force and normal rake angle formula is defined as the product of cutting force and cosine function of normal rake angle, subtracted by product of thrust force and sine function of normal rake angle. Normal Force Induced on Workpiece is denoted by FN symbol.

How to evaluate Force acting Normal to Rake Face given Cutting Force and Thrust Force using this online evaluator? To use this online evaluator for Force acting Normal to Rake Face given Cutting Force and Thrust Force, enter Cutting Force on Workpiece (F'c), Normal Rake Angle of Cutting Tool (α'N) & Thrust Force in Metal Cutting (F't) and hit the calculate button.

FAQs on Force acting Normal to Rake Face given Cutting Force and Thrust Force

What is the formula to find Force acting Normal to Rake Face given Cutting Force and Thrust Force?
The formula of Force acting Normal to Rake Face given Cutting Force and Thrust Force is expressed as Normal Force Induced on Workpiece = Cutting Force on Workpiece*cos(Normal Rake Angle of Cutting Tool)-Thrust Force in Metal Cutting*sin(Normal Rake Angle of Cutting Tool). Here is an example- 36.6482 = 150*cos(0.680678408277661)-127*sin(0.680678408277661).
How to calculate Force acting Normal to Rake Face given Cutting Force and Thrust Force?
With Cutting Force on Workpiece (F'c), Normal Rake Angle of Cutting Tool (α'N) & Thrust Force in Metal Cutting (F't) we can find Force acting Normal to Rake Face given Cutting Force and Thrust Force using the formula - Normal Force Induced on Workpiece = Cutting Force on Workpiece*cos(Normal Rake Angle of Cutting Tool)-Thrust Force in Metal Cutting*sin(Normal Rake Angle of Cutting Tool). This formula also uses Sine (sin), Cosine (cos) function(s).
Can the Force acting Normal to Rake Face given Cutting Force and Thrust Force be negative?
Yes, the Force acting Normal to Rake Face given Cutting Force and Thrust Force, measured in Force can be negative.
Which unit is used to measure Force acting Normal to Rake Face given Cutting Force and Thrust Force?
Force acting Normal to Rake Face given Cutting Force and Thrust Force is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Force acting Normal to Rake Face given Cutting Force and Thrust Force can be measured.
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