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Chip breaker distance given Chip breaker wedge angle Formula

GoChip breaker distance given radius of chip curvature Formula

GoChip break distance when material constant is unity Formula

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

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

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

Chip breaker distance given Chip breaker wedge angle Example

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Here is how the Chip breaker distance given Chip breaker wedge angle equation looks like with Values.

Here is how the Chip breaker distance given Chip breaker wedge angle equation looks like with Units.

Here is how the Chip breaker distance given Chip breaker wedge angle equation looks like.

6.3935 = \frac{10.8}{\cot (\frac{0.81}{2})} + (0.55 \cdot \cot (0.81)) + 1.24

6.3935mm = \frac{10.8mm}{\cot (\frac{0.81rad}{2})} + (0.55mm \cdot \cot (0.81rad)) + 1.24mm

6.3935 = \frac{10.8}{\cot (\frac{0.81}{2})} + (0.55 \cdot \cot (0.81)) + 1.24

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Chip breaker distance given Chip breaker wedge angle Solution

Follow our step by step solution on how to calculate Chip breaker distance given Chip breaker wedge angle?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l n = \frac{10.8mm}{\cot (\frac{0.81rad}{2})} + (0.55mm \cdot \cot (0.81rad)) + 1.24mm

Next Step Convert Units

∴

l n = \frac{0.0108m}{\cot (\frac{0.81rad}{2})} + (0.0006m \cdot \cot (0.81rad)) + 0.0012m

Next Step Prepare to Evaluate

∴

l n = \frac{0.0108}{\cot (\frac{0.81}{2})} + (0.0006 \cdot \cot (0.81)) + 0.0012

Next Step Evaluate

∴

l n = 0.00639353742870097m

Next Step Convert to Output's Unit

∴

l n = 6.39353742870097mm

LAST Step Rounding Answer

∴

l n = 6.3935mm

Chip breaker distance given Chip breaker wedge angle Formula Elements

Variables

Functions

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

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

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 Chip Breaker Distance

Go Chip breaker distance given radius of chip curvature

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

Go Chip break distance when material constant is unity

l n = \sqrt{(r \cdot 2 \cdot h) - (h^{2})} + a o

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 Chip breaker distance given Chip breaker wedge angle?

Chip breaker distance given Chip breaker wedge angle evaluator uses Chip Breaker Distance = Radius of Chip Curvature/cot(Chip Breaker Wedge Angle/(2))+(Chip Breaker Height*cot(Chip Breaker Wedge Angle))+Length of Chip Tool Contact to evaluate the Chip Breaker Distance, The Chip breaker distance given Chip breaker wedge angle is defined as the distance between the tool point and the chip breaker. Chip Breaker Distance is denoted by l_n symbol.

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

FAQs on Chip breaker distance given Chip breaker wedge angle

What is the formula to find Chip breaker distance given Chip breaker wedge angle?

The formula of Chip breaker distance given Chip breaker wedge angle is expressed as Chip Breaker Distance = Radius of Chip Curvature/cot(Chip Breaker Wedge Angle/(2))+(Chip Breaker Height*cot(Chip Breaker Wedge Angle))+Length of Chip Tool Contact. Here is an example- 6393.537 = 0.0108/cot(0.81/(2))+(0.00055*cot(0.81))+0.00124.

How to calculate Chip breaker distance given Chip breaker wedge angle?

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

What are the other ways to Calculate Chip Breaker Distance?

Here are the different ways to Calculate Chip Breaker Distance-

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

Can the Chip breaker distance given Chip breaker wedge angle be negative?

No, the Chip breaker distance given Chip breaker wedge angle, measured in Length cannot be negative.

Which unit is used to measure Chip breaker distance given Chip breaker wedge angle?

Chip breaker distance 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 Chip breaker distance given Chip breaker wedge angle can be measured.

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Chip breaker distance given Chip breaker wedge angle Formula

​GoChip breaker distance given radius of chip curvature Formula

​GoChip break distance when material constant is unity Formula

Chip breaker distance given Chip breaker wedge angle Example

Chip breaker distance given Chip breaker wedge angle Solution

Chip breaker distance given Chip breaker wedge angle Formula Elements

Other Formulas to find Chip Breaker Distance

Other formulas in Chip Control category

How to Evaluate Chip breaker distance given Chip breaker wedge angle?

FAQs on Chip breaker distance given Chip breaker wedge angle

Variable Name

GoChip breaker distance given radius of chip curvature Formula

GoChip break distance when material constant is unity Formula