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Radius of Chip curvature Formula

GoRadius of Chip curvature when material constant is unity Formula

GoRadius of Chip given Chip breaker wedge angle Formula

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

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

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

Radius of Chip curvature Example

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Here is how the Radius of Chip curvature equation looks like with Values.

Here is how the Radius of Chip curvature equation looks like with Units.

Here is how the Radius of Chip curvature equation looks like.

24.4801 = \frac{{(6.4 - 1.24)}^{2}}{2 \cdot 0.55} + (\frac{0.55}{2})

24.4801mm = \frac{{(6.4mm - 1.24mm)}^{2}}{2 \cdot 0.55mm} + (\frac{0.55mm}{2})

24.4801 = \frac{{(6.4 - 1.24)}^{2}}{2 \cdot 0.55} + (\frac{0.55}{2})

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Radius of Chip curvature Solution

Follow our step by step solution on how to calculate Radius of Chip curvature?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r = \frac{{(6.4mm - 1.24mm)}^{2}}{2 \cdot 0.55mm} + (\frac{0.55mm}{2})

Next Step Convert Units

∴

r = \frac{{(0.0064m - 0.0012m)}^{2}}{2 \cdot 0.0006m} + (\frac{0.0006m}{2})

Next Step Prepare to Evaluate

∴

r = \frac{{(0.0064 - 0.0012)}^{2}}{2 \cdot 0.0006} + (\frac{0.0006}{2})

Next Step Evaluate

∴

r = 0.0244800909090909m

Next Step Convert to Output's Unit

∴

r = 24.4800909090909mm

LAST Step Rounding Answer

∴

r = 24.4801mm

Radius of Chip curvature Formula Elements

Variables

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 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

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

Other Formulas to find Radius of Chip Curvature

Go Radius of Chip curvature when material constant is unity

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

Go Radius of Chip given Chip breaker wedge angle

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

Go Radius of chip curvature given constant of material

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

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 Radius of Chip curvature?

Radius of Chip curvature evaluator uses Radius of Chip Curvature = ((Chip Breaker Distance-Length of Chip Tool Contact)^2)/(2*Chip Breaker Height)+(Chip Breaker Height/2) to evaluate the Radius of Chip Curvature, Radius of chip curvature formula is used to find the constant radius of curvature maintained by the chip until it breaks away or clears the chip breaker. Radius of Chip Curvature is denoted by r symbol.

How to evaluate Radius of Chip curvature using this online evaluator? To use this online evaluator for Radius of Chip curvature, enter Chip Breaker Distance (l_n), Length of Chip Tool Contact (l_f) & Chip Breaker Height (h) and hit the calculate button.

FAQs on Radius of Chip curvature

What is the formula to find Radius of Chip curvature?

The formula of Radius of Chip curvature is expressed as Radius of Chip Curvature = ((Chip Breaker Distance-Length of Chip Tool Contact)^2)/(2*Chip Breaker Height)+(Chip Breaker Height/2). Here is an example- 2.2E+6 = ((0.0064-0.00124)^2)/(2*0.00055)+(0.00055/2).

How to calculate Radius of Chip curvature?

With Chip Breaker Distance (l_n), Length of Chip Tool Contact (l_f) & Chip Breaker Height (h) we can find Radius of Chip curvature using the formula - Radius of Chip Curvature = ((Chip Breaker Distance-Length of Chip Tool Contact)^2)/(2*Chip Breaker Height)+(Chip Breaker Height/2).

What are the other ways to Calculate Radius of Chip Curvature?

Here are the different ways to Calculate Radius of Chip Curvature-

Radius of Chip Curvature=((Chip Breaker Distance-Chip Thickness)^2)/(2*Chip Breaker Height)+(Chip Breaker Height/2)
Radius of Chip Curvature=((Chip Breaker Distance-Length of Chip Tool Contact)-(Chip Breaker Height*cot(Chip Breaker Wedge Angle)))*cot(Chip Breaker Wedge Angle/(2))
Radius of Chip Curvature=(((Chip Breaker Distance)-((Material Constant)*(Chip Thickness))^2)/(2*(Chip Breaker Height)))+(Chip Breaker Height/2)

Can the Radius of Chip curvature be negative?

No, the Radius of Chip curvature, measured in Length cannot be negative.

Which unit is used to measure Radius of Chip curvature?

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 Radius of Chip curvature can be measured.

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Radius of Chip curvature Formula

​GoRadius of Chip curvature when material constant is unity Formula

​GoRadius of Chip given Chip breaker wedge angle Formula

Radius of Chip curvature Example

Radius of Chip curvature Solution

Radius of Chip curvature Formula Elements

Other Formulas to find Radius of Chip Curvature

Other formulas in Chip Control category

How to Evaluate Radius of Chip curvature?

FAQs on Radius of Chip curvature

Variable Name

GoRadius of Chip curvature when material constant is unity Formula

GoRadius of Chip given Chip breaker wedge angle Formula