Chip breaker distance given Chip breaker wedge angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Chip Breaker Distance = Radius of Chip Curvature/cot(Chip Breaker Wedge Angle/(2))+(Chip Breaker Height*cot(Chip Breaker Wedge Angle))+Length of Chip Tool Contact
ln = r/cot(σ/(2))+(h*cot(σ))+lf
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
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.
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.
STEP 1: Convert Input(s) to Base Unit
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)
Length of Chip Tool Contact: 1.24 Millimeter --> 0.00124 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ln = r/cot(σ/(2))+(h*cot(σ))+lf --> 0.0108/cot(0.81/(2))+(0.00055*cot(0.81))+0.00124
Evaluating ... ...
ln = 0.00639353742870097
STEP 3: Convert Result to Output's Unit
0.00639353742870097 Meter -->6.39353742870097 Millimeter (Check conversion ​here)
FINAL ANSWER
6.39353742870097 6.393537 Millimeter <-- Chip Breaker Distance
(Calculation completed in 00.004 seconds)

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Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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Chip breaker distance given Chip breaker wedge angle Formula

​LaTeX ​Go
Chip Breaker Distance = Radius of Chip Curvature/cot(Chip Breaker Wedge Angle/(2))+(Chip Breaker Height*cot(Chip Breaker Wedge Angle))+Length of Chip Tool Contact
ln = r/cot(σ/(2))+(h*cot(σ))+lf

Why should chips be broken up?

Bad chip breaking also affects productivity. Long chips take up more room in the hopper, which requires it to be emptied more often, but it's not as full in terms of weight of chips. When combined with the time lost due to stopping the machine and removing chips, productivity is reduced and per-part costs are higher.

How to Calculate Chip breaker distance given Chip breaker wedge angle?

Chip breaker distance given Chip breaker wedge angle calculator uses Chip Breaker Distance = Radius of Chip Curvature/cot(Chip Breaker Wedge Angle/(2))+(Chip Breaker Height*cot(Chip Breaker Wedge Angle))+Length of Chip Tool Contact to calculate the Chip Breaker Distance, The Chip breaker distance given Chip breaker wedge angle is defined as the distance between the tool point and the chip breaker. Chip Breaker Distance is denoted by ln symbol.

How to calculate Chip breaker distance given Chip breaker wedge angle using this online calculator? To use this online calculator for Chip breaker distance given Chip breaker wedge angle, enter Radius of Chip Curvature (r), Chip Breaker Wedge Angle (σ), Chip Breaker Height (h) & Length of Chip Tool Contact (lf) and hit the calculate button. Here is how the Chip breaker distance given Chip breaker wedge angle calculation can be explained with given input values -> 6393.537 = 0.0108/cot(0.81/(2))+(0.00055*cot(0.81))+0.00124.

FAQ

What is Chip breaker distance given Chip breaker wedge angle?
The Chip breaker distance given Chip breaker wedge angle is defined as the distance between the tool point and the chip breaker and is represented as ln = r/cot(σ/(2))+(h*cot(σ))+lf or Chip Breaker Distance = Radius of Chip Curvature/cot(Chip Breaker Wedge Angle/(2))+(Chip Breaker Height*cot(Chip Breaker Wedge Angle))+Length of Chip Tool Contact. 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 & The Length of Chip Tool Contact is the distance over which a continuous chip flows over the tool rake face while maintaining contact.
How to calculate Chip breaker distance given Chip breaker wedge angle?
The Chip breaker distance given Chip breaker wedge angle is defined as the distance between the tool point and the chip breaker is calculated using Chip Breaker Distance = Radius of Chip Curvature/cot(Chip Breaker Wedge Angle/(2))+(Chip Breaker Height*cot(Chip Breaker Wedge Angle))+Length of Chip Tool Contact. To calculate Chip breaker distance given Chip breaker wedge angle, you need Radius of Chip Curvature (r), Chip Breaker Wedge Angle (σ), Chip Breaker Height (h) & Length of Chip Tool Contact (lf). With our tool, you need to enter the respective value for Radius of Chip Curvature, Chip Breaker Wedge Angle, Chip Breaker Height & Length of Chip Tool Contact 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 Chip Breaker Distance?
In this formula, Chip Breaker Distance uses Radius of Chip Curvature, Chip Breaker Wedge Angle, Chip Breaker Height & Length of Chip Tool Contact. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Chip Breaker Distance = sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2))+Length of Chip Tool Contact
  • Chip Breaker Distance = sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2))+Chip Thickness
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