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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
lf=ln-(r2h)-(h2)
lf - Length of Chip Tool Contact?ln - Chip Breaker Distance?r - Radius of Chip Curvature?h - Chip Breaker Height?

Length of chip tool contact given radius of chip curvature Example

With values
With units
Only example

Here is how the Length of chip tool contact given radius of chip curvature equation looks like with Values.

Here is how the Length of chip tool contact given radius of chip curvature equation looks like with Units.

Here is how the Length of chip tool contact given radius of chip curvature equation looks like.

2.9974Edit=6.4Edit-(10.8Edit20.55Edit)-(0.55Edit2)
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Length of chip tool contact given radius of chip curvature Solution

Follow our step by step solution on how to calculate Length of chip tool contact given radius of chip curvature?

FIRST Step Consider the formula
lf=ln-(r2h)-(h2)
Next Step Substitute values of Variables
lf=6.4mm-(10.8mm20.55mm)-(0.55mm2)
Next Step Convert Units
lf=0.0064m-(0.0108m20.0006m)-(0.0006m2)
Next Step Prepare to Evaluate
lf=0.0064-(0.010820.0006)-(0.00062)
Next Step Evaluate
lf=0.00299742744383018m
Next Step Convert to Output's Unit
lf=2.99742744383018mm
LAST Step Rounding Answer
lf=2.9974mm

Length of chip tool contact given radius of chip curvature 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: lf
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Chip Breaker Distance
Chip Breaker Distance is defined as the distance between the tool point and the chip breaker.
Symbol: ln
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
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.
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.
sqrt
A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.
Syntax: sqrt(Number)

Other Formulas to find Length of Chip Tool Contact

​Go Length of chip tool contact
lf=aoK
​Go Length of chip tool contact given Chip breaker wedge angle
lf=ln-(rcot(σ2))-(hcot(σ))

Other formulas in Chip Control category

​Go Metal Removal Rate given Specific Cutting Energy
Zw=Pmps
​Go Cross Sectional Area of Uncut chip using Specific Cutting energy in Machining
Ac=Fcps
​Go Length of Shear Plane of Chip
ls=acsin(ϕ)
​Go Undeformed Chip Thickness using Length of Shear Plane of Chip
ac=lssin(ϕ)

How to Evaluate Length of chip tool contact given radius of chip curvature?

Length of chip tool contact given radius of chip curvature evaluator uses Length of Chip Tool Contact = Chip Breaker Distance-sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2)) to evaluate the Length of Chip Tool Contact, The Length of chip tool contact given radius of chip curvature is the distance over which a continuous chip flows over the tool rake face while maintaining contact. Length of Chip Tool Contact is denoted by lf symbol.

How to evaluate Length of chip tool contact given radius of chip curvature using this online evaluator? To use this online evaluator for Length of chip tool contact given radius of chip curvature, enter Chip Breaker Distance (ln), Radius of Chip Curvature (r) & Chip Breaker Height (h) and hit the calculate button.

FAQs on Length of chip tool contact given radius of chip curvature

What is the formula to find Length of chip tool contact given radius of chip curvature?
The formula of Length of chip tool contact given radius of chip curvature is expressed as Length of Chip Tool Contact = Chip Breaker Distance-sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2)). Here is an example- 47467.43 = 0.0064-sqrt((0.0108*2*0.00055)-(0.00055^2)).
How to calculate Length of chip tool contact given radius of chip curvature?
With Chip Breaker Distance (ln), Radius of Chip Curvature (r) & Chip Breaker Height (h) we can find Length of chip tool contact given radius of chip curvature using the formula - Length of Chip Tool Contact = Chip Breaker Distance-sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2)). This formula also uses Square Root (sqrt) 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 Thickness*Material ConstantOpenImg
  • 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))OpenImg
Can the Length of chip tool contact given radius of chip curvature be negative?
No, the Length of chip tool contact given radius of chip curvature, measured in Length cannot be negative.
Which unit is used to measure Length of chip tool contact given radius of chip curvature?
Length of chip tool contact given radius of chip curvature 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 radius of chip curvature can be measured.
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