Width of cut for given side cutting edge angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cutting Width = Depth of Cut Provided by Tool/cos(Side Cutting Edge Angle for Metal Cutting)
wc = dcut/cos(ψ)
This formula uses 1 Functions, 3 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
Cutting Width - (Measured in Meter) - Cutting Width can be defined as the width the tool cuts into the workpiece.
Depth of Cut Provided by Tool - (Measured in Meter) - Depth of cut provided by tool provides necessary depth to workpiece that is required to remove material during machining process.
Side Cutting Edge Angle for Metal Cutting - (Measured in Radian) - Side cutting edge angle for metal cutting can be defined as the angle between the side cutting edge and the side of the tool shank.
STEP 1: Convert Input(s) to Base Unit
Depth of Cut Provided by Tool: 9.0732 Millimeter --> 0.0090732 Meter (Check conversion ​here)
Side Cutting Edge Angle for Metal Cutting: 20.51 Degree --> 0.35796702958397 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
wc = dcut/cos(ψ) --> 0.0090732/cos(0.35796702958397)
Evaluating ... ...
wc = 0.00968726557098674
STEP 3: Convert Result to Output's Unit
0.00968726557098674 Meter -->9.68726557098674 Millimeter (Check conversion ​here)
FINAL ANSWER
9.68726557098674 9.687266 Millimeter <-- Cutting Width
(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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​ LaTeX ​ Go Area of Shear Plane = (Uncut Chip Thickness in Machining*Cutting Width)/sin(Shearing Angle)
Uncut chip thickness for given width of cut, shear angle and area of shear plane
​ LaTeX ​ Go Uncut Chip Thickness in Machining = (Area of Shear Plane*sin(Shearing Angle))/Cutting Width
Width of cut for given shear angle, uncut chip thickness and area of shear plane
​ LaTeX ​ Go Cutting Width = (Area of Shear Plane*sin(Shearing Angle))/Uncut Chip Thickness in Machining
Shear angle for given area of shear plane, width of cut and uncut chip thickness
​ LaTeX ​ Go Shearing Angle = asin(Cutting Width*Uncut Chip Thickness in Machining/Area of Shear Plane)

Width of cut for given side cutting edge angle Formula

​LaTeX ​Go
Cutting Width = Depth of Cut Provided by Tool/cos(Side Cutting Edge Angle for Metal Cutting)
wc = dcut/cos(ψ)

Why width of cut is required in a job piece?

The width of the cut is required to calculate the depth of the cut and this width is provided for safety and tolerance, so the object has required strength and ductility.

How to Calculate Width of cut for given side cutting edge angle?

Width of cut for given side cutting edge angle calculator uses Cutting Width = Depth of Cut Provided by Tool/cos(Side Cutting Edge Angle for Metal Cutting) to calculate the Cutting Width, The Width of cut for given side cutting edge angle formula is defined as the ratio of depth of cut to cosine of side cutting edge angle. Cutting Width is denoted by wc symbol.

How to calculate Width of cut for given side cutting edge angle using this online calculator? To use this online calculator for Width of cut for given side cutting edge angle, enter Depth of Cut Provided by Tool (dcut) & Side Cutting Edge Angle for Metal Cutting (ψ) and hit the calculate button. Here is how the Width of cut for given side cutting edge angle calculation can be explained with given input values -> 9275.901 = 0.0090732/cos(0.35796702958397).

FAQ

What is Width of cut for given side cutting edge angle?
The Width of cut for given side cutting edge angle formula is defined as the ratio of depth of cut to cosine of side cutting edge angle and is represented as wc = dcut/cos(ψ) or Cutting Width = Depth of Cut Provided by Tool/cos(Side Cutting Edge Angle for Metal Cutting). Depth of cut provided by tool provides necessary depth to workpiece that is required to remove material during machining process & Side cutting edge angle for metal cutting can be defined as the angle between the side cutting edge and the side of the tool shank.
How to calculate Width of cut for given side cutting edge angle?
The Width of cut for given side cutting edge angle formula is defined as the ratio of depth of cut to cosine of side cutting edge angle is calculated using Cutting Width = Depth of Cut Provided by Tool/cos(Side Cutting Edge Angle for Metal Cutting). To calculate Width of cut for given side cutting edge angle, you need Depth of Cut Provided by Tool (dcut) & Side Cutting Edge Angle for Metal Cutting (ψ). With our tool, you need to enter the respective value for Depth of Cut Provided by Tool & Side Cutting Edge Angle for Metal Cutting 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 Cutting Width?
In this formula, Cutting Width uses Depth of Cut Provided by Tool & Side Cutting Edge Angle for Metal Cutting. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Cutting Width = (Area of Shear Plane*sin(Shearing Angle))/Uncut Chip Thickness in Machining
  • Cutting Width = Cutting Force in Metal Cutting*(cos(Shearing Angle+Cutting Friction Angle-Rake Angle of Cutting Tool))/(Average Shear Stress Produced on Shear Plane*Uncut Chip Thickness in Machining*cos(Cutting Friction Angle-Rake Angle of Cutting Tool))
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