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Chip breaker height given Chip breaker wedge angle Formula

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

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

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

Chip breaker height given Chip breaker wedge angle Example

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

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

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

0.5568 = \frac{(6.4 - 1.24) - (\frac{10.8}{\cot (\frac{0.81}{2})})}{\cot (0.81)}

0.5568mm = \frac{(6.4mm - 1.24mm) - (\frac{10.8mm}{\cot (\frac{0.81rad}{2})})}{\cot (0.81rad)}

0.5568 = \frac{(6.4 - 1.24) - (\frac{10.8}{\cot (\frac{0.81}{2})})}{\cot (0.81)}

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Chip breaker height given Chip breaker wedge angle Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{(6.4mm - 1.24mm) - (\frac{10.8mm}{\cot (\frac{0.81rad}{2})})}{\cot (0.81rad)}

Next Step Convert Units

∴

h = \frac{(0.0064m - 0.0012m) - (\frac{0.0108m}{\cot (\frac{0.81rad}{2})})}{\cot (0.81rad)}

Next Step Prepare to Evaluate

∴

h = \frac{(0.0064 - 0.0012) - (\frac{0.0108}{\cot (\frac{0.81}{2})})}{\cot (0.81)}

Next Step Evaluate

∴

h = 0.000556788641252314m

Next Step Convert to Output's Unit

∴

h = 0.556788641252314mm

LAST Step Rounding Answer

∴

h = 0.5568mm

Chip breaker height given Chip breaker wedge angle Formula Elements

Variables

Functions

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

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

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

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

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 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 height given Chip breaker wedge angle?

Chip breaker height given Chip breaker wedge angle evaluator uses Chip Breaker Height = ((Chip Breaker Distance-Length of Chip Tool Contact)-(Radius of Chip Curvature/cot(Chip Breaker Wedge Angle/(2))))/cot(Chip Breaker Wedge Angle) to evaluate the Chip Breaker Height, The Chip breaker height given Chip breaker wedge angle formula is defined as the height of the chip breaker on the tool. Chip Breaker Height is denoted by h symbol.

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

FAQs on Chip breaker height given Chip breaker wedge angle

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

The formula of Chip breaker height given Chip breaker wedge angle is expressed as Chip Breaker Height = ((Chip Breaker Distance-Length of Chip Tool Contact)-(Radius of Chip Curvature/cot(Chip Breaker Wedge Angle/(2))))/cot(Chip Breaker Wedge Angle). Here is an example- 47270.53 = ((0.0064-0.00124)-(0.0108/cot(0.81/(2))))/cot(0.81).

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

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

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

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

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

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

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Chip breaker height given Chip breaker wedge angle Formula

Chip breaker height given Chip breaker wedge angle Example

Chip breaker height given Chip breaker wedge angle Solution

Chip breaker height given Chip breaker wedge angle Formula Elements

Other formulas in Chip Control category

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

FAQs on Chip breaker height given Chip breaker wedge angle

Variable Name