Length of chip tool contact given Chip breaker wedge angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
lf = ln-(r/cot(σ/(2)))-(h*cot(σ))
This formula uses 1 Functions, 5 Variables
Functions Used
cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(Angle)
Variables Used
Length of Chip Tool Contact - (Measured in Meter) - The Length of Chip Tool Contact is the distance over which a continuous chip flows over the tool rake face while maintaining contact.
Chip Breaker Distance - (Measured in Meter) - Chip Breaker Distance is defined as the distance between the tool point and the chip breaker.
Radius of Chip Curvature - (Measured in Meter) - Radius of Chip Curvature is the constant radius of curvature maintained by the chip until it breaks away or clears the chip breaker.
Chip Breaker Wedge Angle - (Measured in Radian) - Chip Breaker Wedge Angle is the angle between the face and flank surface of a single point cutting tool.
Chip Breaker Height - (Measured in Meter) - Chip Breaker Height is defined as the height of the chip breaker on the tool.
STEP 1: Convert Input(s) to Base Unit
Chip Breaker Distance: 6.4 Millimeter --> 0.0064 Meter (Check conversion ​here)
Radius of Chip Curvature: 10.8 Millimeter --> 0.0108 Meter (Check conversion ​here)
Chip Breaker Wedge Angle: 0.81 Radian --> 0.81 Radian No Conversion Required
Chip Breaker Height: 0.55 Millimeter --> 0.00055 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
lf = ln-(r/cot(σ/(2)))-(h*cot(σ)) --> 0.0064-(0.0108/cot(0.81/(2)))-(0.00055*cot(0.81))
Evaluating ... ...
lf = 0.00124646257129903
STEP 3: Convert Result to Output's Unit
0.00124646257129903 Meter -->1.24646257129903 Millimeter (Check conversion ​here)
FINAL ANSWER
1.24646257129903 1.246463 Millimeter <-- Length of Chip Tool Contact
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
Parul Keshav has created this Calculator and 300+ more calculators!
Verifier Image
Verified by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
Kumar Siddhant has verified this Calculator and 100+ more calculators!

Chip Control Calculators

Metal Removal Rate given Specific Cutting Energy
​ LaTeX ​ Go Metal Removal Rate = Rate of Energy Consumption during Machining/Specific Cutting Energy in Machining
Undeformed Chip Thickness using Length of Shear Plane of Chip
​ LaTeX ​ Go Undeformed Chip Thickness = Length of Shear Plane*sin(Shear Angle)
Length of Shear Plane of Chip
​ LaTeX ​ Go Length of Shear Plane = Undeformed Chip Thickness/sin(Shear Angle)
Cross Sectional Area of Uncut chip using Specific Cutting energy in Machining
​ LaTeX ​ Go Cross Sectional Area of Uncut Chip = Cutting Force/Specific Cutting Energy in Machining

Length of chip tool contact given Chip breaker wedge angle Formula

​LaTeX ​Go
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))
lf = ln-(r/cot(σ/(2)))-(h*cot(σ))

What is wedge angle in cutting tool?

The angle between the face and flank surface of a single point cutting tool is termed as lip angle or wedge angle. Point angle is the angle between the principal cutting edge and auxiliary cutting edge when viewed on the reference plane.

How to Calculate Length of chip tool contact given Chip breaker wedge angle?

Length of chip tool contact given Chip breaker wedge angle calculator uses 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)) to calculate the Length of Chip Tool Contact, Length of chip tool contact given Chip breaker wedge angle formula is used to find 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 calculate Length of chip tool contact given Chip breaker wedge angle using this online calculator? To use this online calculator for Length of chip tool contact given Chip breaker wedge angle, enter Chip Breaker Distance (ln), Radius of Chip Curvature (r), Chip Breaker Wedge Angle (σ) & Chip Breaker Height (h) and hit the calculate button. Here is how the Length of chip tool contact given Chip breaker wedge angle calculation can be explained with given input values -> 45716.46 = 0.0064-(0.0108/cot(0.81/(2)))-(0.00055*cot(0.81)).

FAQ

What is Length of chip tool contact given Chip breaker wedge angle?
Length of chip tool contact given Chip breaker wedge angle formula is used to find distance over which a continuous chip flows over the tool rake face while maintaining contact and is represented as lf = ln-(r/cot(σ/(2)))-(h*cot(σ)) or 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)). Chip Breaker Distance is defined as the distance between the tool point and the chip breaker, Radius of Chip Curvature is the constant radius of curvature maintained by the chip until it breaks away or clears the chip breaker, Chip Breaker Wedge Angle is the angle between the face and flank surface of a single point cutting tool & Chip Breaker Height is defined as the height of the chip breaker on the tool.
How to calculate Length of chip tool contact given Chip breaker wedge angle?
Length of chip tool contact given Chip breaker wedge angle formula is used to find distance over which a continuous chip flows over the tool rake face while maintaining contact is calculated using 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)). To calculate Length of chip tool contact given Chip breaker wedge angle, you need Chip Breaker Distance (ln), Radius of Chip Curvature (r), Chip Breaker Wedge Angle (σ) & Chip Breaker Height (h). With our tool, you need to enter the respective value for Chip Breaker Distance, Radius of Chip Curvature, Chip Breaker Wedge Angle & Chip Breaker Height and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Length of Chip Tool Contact?
In this formula, Length of Chip Tool Contact uses Chip Breaker Distance, Radius of Chip Curvature, Chip Breaker Wedge Angle & Chip Breaker Height. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Length of Chip Tool Contact = Chip Breaker Distance-sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2))
  • Length of Chip Tool Contact = Chip Thickness*Material Constant
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!