FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Radius of Chip given Chip breaker wedge angle Formula

GoRadius of Chip curvature Formula

GoRadius of Chip curvature when material constant is unity Formula

Fx Copy

LaTeX Copy

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

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

Radius of Chip given Chip breaker wedge angle Example

With values

With units

Only example

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

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

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

10.8151 = ((6.4 - 1.24) - (0.55 \cdot \cot (0.81))) \cdot \cot (\frac{0.81}{2})

10.8151mm = ((6.4mm - 1.24mm) - (0.55mm \cdot \cot (0.81rad))) \cdot \cot (\frac{0.81rad}{2})

10.8151 = ((6.4 - 1.24) - (0.55 \cdot \cot (0.81))) \cdot \cot (\frac{0.81}{2})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Production Engineering » Category

Metal Machining » fx Radius of Chip given Chip breaker wedge angle

Radius of Chip given Chip breaker wedge angle Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r = ((6.4mm - 1.24mm) - (0.55mm \cdot \cot (0.81rad))) \cdot \cot (\frac{0.81rad}{2})

Next Step Convert Units

∴

r = ((0.0064m - 0.0012m) - (0.0006m \cdot \cot (0.81rad))) \cdot \cot (\frac{0.81rad}{2})

Next Step Prepare to Evaluate

∴

r = ((0.0064 - 0.0012) - (0.0006 \cdot \cot (0.81))) \cdot \cot (\frac{0.81}{2})

Next Step Evaluate

∴

r = 0.0108150748273184m

Next Step Convert to Output's Unit

∴

r = 10.8150748273184mm

LAST Step Rounding Answer

∴

r = 10.8151mm

Radius of Chip given Chip breaker wedge angle Formula Elements

Variables

Functions

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

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 to find Radius of Chip Curvature

Go Radius of Chip curvature

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

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 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 given Chip breaker wedge angle?

Radius of Chip given Chip breaker wedge angle evaluator uses 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)) to evaluate the Radius of Chip Curvature, The Radius of Chip given Chip breaker wedge angle is the radius that maintains a constant radius of curvature until it breaks away or clears the chip breaker. Radius of Chip Curvature is denoted by r symbol.

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

FAQs on Radius of Chip given Chip breaker wedge angle

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

The formula of Radius of Chip given Chip breaker wedge angle is expressed as 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)). Here is an example- 114547.4 = ((0.0064-0.00124)-(0.00055*cot(0.81)))*cot(0.81/(2)).

How to calculate Radius of Chip given Chip breaker wedge angle?

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

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-Length of Chip Tool Contact)^2)/(2*Chip Breaker Height)+(Chip Breaker Height/2)
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)-((Material Constant)*(Chip Thickness))^2)/(2*(Chip Breaker Height)))+(Chip Breaker Height/2)

Can the Radius of Chip given Chip breaker wedge angle be negative?

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

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

Radius of Chip 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 Radius of Chip given Chip breaker wedge angle can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Radius of Chip given Chip breaker wedge angle Formula

​GoRadius of Chip curvature Formula

​GoRadius of Chip curvature when material constant is unity Formula

Radius of Chip given Chip breaker wedge angle Example

Radius of Chip given Chip breaker wedge angle Solution

Radius of Chip given Chip breaker wedge angle Formula Elements

Other Formulas to find Radius of Chip Curvature

Other formulas in Chip Control category

How to Evaluate Radius of Chip given Chip breaker wedge angle?

FAQs on Radius of Chip given Chip breaker wedge angle

Variable Name

GoRadius of Chip curvature Formula

GoRadius of Chip curvature when material constant is unity Formula