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Thrust Force given Cutting Force and Normal Rake Angle Formula

GoThrust force for given frictional force along tool rake face, cutting force and normal rake angle Formula

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Thrust force on job which acts perpendicularly to work piece. Check FAQs

F t = \frac{F c \cdot \cos (α N) - F N}{\sin (α N)}

F_t - Thrust Force on Job?F_c - Cutting Force on Job?α_N - Normal Rake Angle?F_N - Normal Force on Job?

Thrust Force given Cutting Force and Normal Rake Angle Example

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

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

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

5.1474 = \frac{50 \cdot \cos (7) - 49}{\sin (7)}

5.1474N = \frac{50N \cdot \cos (7°) - 49N}{\sin (7°)}

5.1474 = \frac{50 \cdot \cos (7) - 49}{\sin (7)}

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Thrust Force given Cutting Force and Normal Rake Angle Solution

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

FIRST Step Consider the formula

F t = \frac{F c \cdot \cos (α N) - F N}{\sin (α N)}

Next Step Substitute values of Variables

∴

F t = \frac{50N \cdot \cos (7°) - 49N}{\sin (7°)}

Next Step Convert Units

∴

F t = \frac{50N \cdot \cos (0.1222rad) - 49N}{\sin (0.1222rad)}

Next Step Prepare to Evaluate

∴

F t = \frac{50 \cdot \cos (0.1222) - 49}{\sin (0.1222)}

Next Step Evaluate

∴

F t = 5.147378040603N

LAST Step Rounding Answer

∴

F t = 5.1474N

Thrust Force given Cutting Force and Normal Rake Angle Formula Elements

Variables

Functions

Thrust Force on Job

Thrust force on job which acts perpendicularly to work piece.

Symbol: F_t

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Thrust Force on Job

Cutting Force on Job

Cutting force on job 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 Job

Normal Rake Angle

The Normal Rake Angle 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

Normal Force on Job

Normal force on job is the force which acts parallel to the shear force.

Symbol: F_N

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Normal Force on Job

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 Thrust Force on Job

Go Thrust force for given frictional force along tool rake face, cutting force and normal rake angle

F t = \frac{F fr - F c \cdot \sin (α N)}{\cos (α N)}

Other formulas in Thrust Force category

Go Thrust force for given cutting force, shear angle and force along shear force

F a = \frac{F c \cdot \cos (ϕ s) - F s}{\sin (ϕ s)}

Go Thrust force for given cutting force, shear angle and force normal to shear force

F a = \frac{F N - F c \cdot \sin (ϕ s)}{\cos (ϕ s)}

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

Thrust Force given Cutting Force and Normal Rake Angle evaluator uses Thrust Force on Job = (Cutting Force on Job*cos(Normal Rake Angle)-Normal Force on Job)/sin(Normal Rake Angle) to evaluate the Thrust Force on Job, The Thrust Force given Cutting Force and Normal Rake Angle formula is defined as the ratio of cutting force subtracted to the normal force to the sine of rake angle. Thrust Force on Job is denoted by F_t symbol.

How to evaluate Thrust Force given Cutting Force and Normal Rake Angle using this online evaluator? To use this online evaluator for Thrust Force given Cutting Force and Normal Rake Angle, enter Cutting Force on Job (F_c), Normal Rake Angle (α_N) & Normal Force on Job (F_N) and hit the calculate button.

FAQs on Thrust Force given Cutting Force and Normal Rake Angle

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

The formula of Thrust Force given Cutting Force and Normal Rake Angle is expressed as Thrust Force on Job = (Cutting Force on Job*cos(Normal Rake Angle)-Normal Force on Job)/sin(Normal Rake Angle). Here is an example- -4910.972487 = (50*cos(0.12217304763958)-49)/sin(0.12217304763958).

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

With Cutting Force on Job (F_c), Normal Rake Angle (α_N) & Normal Force on Job (F_N) we can find Thrust Force given Cutting Force and Normal Rake Angle using the formula - Thrust Force on Job = (Cutting Force on Job*cos(Normal Rake Angle)-Normal Force on Job)/sin(Normal Rake Angle). This formula also uses Sine (sin), Cosine (cos) function(s).

What are the other ways to Calculate Thrust Force on Job?

Here are the different ways to Calculate Thrust Force on Job-

Thrust Force on Job=(Force of Friction-Cutting Force on Job*sin(Normal Rake Angle))/cos(Normal Rake Angle)

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

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

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

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

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Thrust Force given Cutting Force and Normal Rake Angle Formula

​GoThrust force for given frictional force along tool rake face, cutting force and normal rake angle Formula

Thrust Force given Cutting Force and Normal Rake Angle Example

Thrust Force given Cutting Force and Normal Rake Angle Solution

Thrust Force given Cutting Force and Normal Rake Angle Formula Elements

Other Formulas to find Thrust Force on Job

Other formulas in Thrust Force category

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

FAQs on Thrust Force given Cutting Force and Normal Rake Angle

Variable Name

GoThrust force for given frictional force along tool rake face, cutting force and normal rake angle Formula