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Length of chip tool contact given Chip breaker wedge angle Formula

GoLength of chip tool contact given radius of chip curvature Formula

GoLength of chip tool contact Formula

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The Length of Chip Tool Contact is the distance over which a continuous chip flows over the tool rake face while maintaining contact. Check FAQs

l f = l n - (\frac{r}{\cot (\frac{σ}{2})}) - (h \cdot \cot (σ))

l_f - Length of Chip Tool Contact?l_n - Chip Breaker Distance?r - Radius of Chip Curvature?σ - Chip Breaker Wedge Angle?h - Chip Breaker Height?

Length of chip tool contact given Chip breaker wedge angle Example

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Here is how the Length of chip tool contact given Chip breaker wedge angle equation looks like with Values.

Here is how the Length of chip tool contact given Chip breaker wedge angle equation looks like with Units.

Here is how the Length of chip tool contact given Chip breaker wedge angle equation looks like.

1.2465 = 6.4 - (\frac{10.8}{\cot (\frac{0.81}{2})}) - (0.55 \cdot \cot (0.81))

1.2465mm = 6.4mm - (\frac{10.8mm}{\cot (\frac{0.81rad}{2})}) - (0.55mm \cdot \cot (0.81rad))

1.2465 = 6.4 - (\frac{10.8}{\cot (\frac{0.81}{2})}) - (0.55 \cdot \cot (0.81))

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Length of chip tool contact given Chip breaker wedge angle Solution

Follow our step by step solution on how to calculate Length of chip tool contact given Chip breaker wedge angle?

FIRST Step Consider the formula

l f = l n - (\frac{r}{\cot (\frac{σ}{2})}) - (h \cdot \cot (σ))

Next Step Substitute values of Variables

∴

l f = 6.4mm - (\frac{10.8mm}{\cot (\frac{0.81rad}{2})}) - (0.55mm \cdot \cot (0.81rad))

Next Step Convert Units

∴

l f = 0.0064m - (\frac{0.0108m}{\cot (\frac{0.81rad}{2})}) - (0.0006m \cdot \cot (0.81rad))

Next Step Prepare to Evaluate

∴

l f = 0.0064 - (\frac{0.0108}{\cot (\frac{0.81}{2})}) - (0.0006 \cdot \cot (0.81))

Next Step Evaluate

∴

l f = 0.00124646257129903m

Next Step Convert to Output's Unit

∴

l f = 1.24646257129903mm

LAST Step Rounding Answer

∴

l f = 1.2465mm

Length of chip tool contact given Chip breaker wedge angle Formula Elements

Variables

Functions

Length of Chip Tool Contact

The Length of Chip Tool Contact is the distance over which a continuous chip flows over the tool rake face while maintaining contact.

Symbol: l_f

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Chip Tool Contact

Chip Breaker Distance

Chip Breaker Distance is defined as the distance between the tool point and the chip breaker.

Symbol: l_n

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Chip Breaker Distance

Radius of Chip Curvature

Radius of Chip Curvature is the constant radius of curvature maintained by the chip until it breaks away or clears the chip breaker.

Symbol: r

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Chip Curvature

Chip Breaker Wedge Angle

Chip Breaker Wedge Angle is the angle between the face and flank surface of a single point cutting tool.

Symbol: σ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Chip Breaker Wedge Angle

Chip Breaker Height

Chip Breaker Height is defined as the height of the chip breaker on the tool.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Chip Breaker Height

cot

Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle.

Syntax: cot(Angle)

Other Formulas to find Length of Chip Tool Contact

Go Length of chip tool contact given radius of chip curvature

l f = l n - \sqrt{(r \cdot 2 \cdot h) - (h^{2})}

Go Length of chip tool contact

l f = a o \cdot K

Other formulas in Chip Control category

Go Metal Removal Rate given Specific Cutting Energy

Z w = \frac{P m}{p s}

Go Cross Sectional Area of Uncut chip using Specific Cutting energy in Machining

A c = \frac{F c}{p s}

Go Length of Shear Plane of Chip

l s = \frac{a c}{\sin (ϕ)}

Go Undeformed Chip Thickness using Length of Shear Plane of Chip

a c = l s \cdot \sin (ϕ)

How to Evaluate Length of chip tool contact given Chip breaker wedge angle?

Length of chip tool contact given Chip breaker wedge angle evaluator uses Length of Chip Tool Contact = Chip Breaker Distance-(Radius of Chip Curvature/cot(Chip Breaker Wedge Angle/(2)))-(Chip Breaker Height*cot(Chip Breaker Wedge Angle)) to evaluate the Length of Chip Tool Contact, Length of chip tool contact given Chip breaker wedge angle formula is used to find distance over which a continuous chip flows over the tool rake face while maintaining contact. Length of Chip Tool Contact is denoted by l_f symbol.

How to evaluate Length of chip tool contact given Chip breaker wedge angle using this online evaluator? To use this online evaluator for Length of chip tool contact given Chip breaker wedge angle, enter Chip Breaker Distance (l_n), Radius of Chip Curvature (r), Chip Breaker Wedge Angle (σ) & Chip Breaker Height (h) and hit the calculate button.

FAQs on Length of chip tool contact given Chip breaker wedge angle

What is the formula to find Length of chip tool contact given Chip breaker wedge angle?

The formula of Length of chip tool contact given Chip breaker wedge angle is expressed as Length of Chip Tool Contact = Chip Breaker Distance-(Radius of Chip Curvature/cot(Chip Breaker Wedge Angle/(2)))-(Chip Breaker Height*cot(Chip Breaker Wedge Angle)). Here is an example- 45716.46 = 0.0064-(0.0108/cot(0.81/(2)))-(0.00055*cot(0.81)).

How to calculate Length of chip tool contact given Chip breaker wedge angle?

With Chip Breaker Distance (l_n), Radius of Chip Curvature (r), Chip Breaker Wedge Angle (σ) & Chip Breaker Height (h) we can find Length of chip tool contact given Chip breaker wedge angle using the formula - Length of Chip Tool Contact = Chip Breaker Distance-(Radius of Chip Curvature/cot(Chip Breaker Wedge Angle/(2)))-(Chip Breaker Height*cot(Chip Breaker Wedge Angle)). This formula also uses Cotangent (cot) function(s).

What are the other ways to Calculate Length of Chip Tool Contact?

Here are the different ways to Calculate Length of Chip Tool Contact-

Length of Chip Tool Contact=Chip Breaker Distance-sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2))
Length of Chip Tool Contact=Chip Thickness*Material Constant

Can the Length of chip tool contact given Chip breaker wedge angle be negative?

No, the Length of chip tool contact given Chip breaker wedge angle, measured in Length cannot be negative.

Which unit is used to measure Length of chip tool contact given Chip breaker wedge angle?

Length of chip tool contact given Chip breaker wedge angle is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Length of chip tool contact given Chip breaker wedge angle can be measured.

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Length of chip tool contact given Chip breaker wedge angle Formula

​GoLength of chip tool contact given radius of chip curvature Formula

​GoLength of chip tool contact Formula

Length of chip tool contact given Chip breaker wedge angle Example

Length of chip tool contact given Chip breaker wedge angle Solution

Length of chip tool contact given Chip breaker wedge angle Formula Elements

Other Formulas to find Length of Chip Tool Contact

Other formulas in Chip Control category

How to Evaluate Length of chip tool contact given Chip breaker wedge angle?

FAQs on Length of chip tool contact given Chip breaker wedge angle

Variable Name

GoLength of chip tool contact given radius of chip curvature Formula

GoLength of chip tool contact Formula