Length of chip tool contact given radius of chip curvature Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Chip Tool Contact = Chip Breaker Distance-sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2))
lf = ln-sqrt((r*2*h)-(h^2))
This formula uses 1 Functions, 4 Variables
Functions Used
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., sqrt(Number)
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 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 Height: 0.55 Millimeter --> 0.00055 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
lf = ln-sqrt((r*2*h)-(h^2)) --> 0.0064-sqrt((0.0108*2*0.00055)-(0.00055^2))
Evaluating ... ...
lf = 0.00299742744383018
STEP 3: Convert Result to Output's Unit
0.00299742744383018 Meter -->2.99742744383018 Millimeter (Check conversion ​here)
FINAL ANSWER
2.99742744383018 2.997427 Millimeter <-- Length of Chip Tool Contact
(Calculation completed in 00.020 seconds)

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Length of chip tool contact given radius of chip curvature Formula

​LaTeX ​Go
Length of Chip Tool Contact = Chip Breaker Distance-sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2))
lf = ln-sqrt((r*2*h)-(h^2))

What are the types of chip breakers?

The chips that are formed during metal cutting operations can be classified into three types: Discontinuous or segmental chips, Continuous chips, and Continuous chips with a built-up edge.

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

Length of chip tool contact given radius of chip curvature calculator uses Length of Chip Tool Contact = Chip Breaker Distance-sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2)) to calculate 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 calculate Length of chip tool contact given radius of chip curvature using this online calculator? To use this online calculator 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. Here is how the Length of chip tool contact given radius of chip curvature calculation can be explained with given input values -> 47467.43 = 0.0064-sqrt((0.0108*2*0.00055)-(0.00055^2)).

FAQ

What is Length of chip tool contact given radius of chip curvature?
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 and is represented as lf = ln-sqrt((r*2*h)-(h^2)) or Length of Chip Tool Contact = Chip Breaker Distance-sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2)). 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 Height is defined as the height of the chip breaker on the tool.
How to calculate Length of chip tool contact given radius of chip curvature?
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 is calculated using Length of Chip Tool Contact = Chip Breaker Distance-sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2)). To calculate Length of chip tool contact given radius of chip curvature, you need Chip Breaker Distance (ln), Radius of Chip Curvature (r) & Chip Breaker Height (h). With our tool, you need to enter the respective value for Chip Breaker Distance, Radius of Chip Curvature & 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 Height. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Length of Chip Tool Contact = Chip Thickness*Material Constant
  • 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))
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