Width of cut for given side cutting edge angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Width of cut = Depth of Cut/cos(Side Cutting Edge Angle)
w = dcut/cos(Ψs)
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
Width of cut - (Measured in Meter) - The width of cut is defined as the width the tool cuts into the workpiece.
Depth of Cut - (Measured in Meter) - Depth of Cut is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.
Side Cutting Edge Angle - (Measured in Radian) - The Side Cutting Edge Angle for orthogonal cutting is defined as the angle between the side cutting edge and the side of the tool shank. It is often referred to as the lead angle.
STEP 1: Convert Input(s) to Base Unit
Depth of Cut: 13 Millimeter --> 0.013 Meter (Check conversion here)
Side Cutting Edge Angle: 75 Degree --> 1.3089969389955 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
w = dcut/cos(Ψs) --> 0.013/cos(1.3089969389955)
Evaluating ... ...
w = 0.0502281429669852
STEP 3: Convert Result to Output's Unit
0.0502281429669852 Meter -->50.2281429669852 Millimeter (Check conversion here)
FINAL ANSWER
50.2281429669852 50.22814 Millimeter <-- Width of cut
(Calculation completed in 00.004 seconds)

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Amrita School of Engineering (ASE), Vallikavu
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8 Geometry and Dimensions Calculators

Uncut chip thickness given cutting force, shear stress, cut, friction, normal rake and shear angles
Go Uncut Chip Thickness = Cutting Force*(cos(Shear angle+Friction Angle-Rake Angle))/(Width of cut*Average Shear Stress on Shear Plane*cos(Friction Angle-Rake Angle))
Width of cut given cutting force, shear stress, uncut chip, friction, normal rake and shear angles
Go Width of cut = Cutting Force*(cos(Shear angle+Friction Angle-Rake Angle))/(Average Shear Stress on Shear Plane*Uncut Chip Thickness*cos(Friction Angle-Rake Angle))
Area of shear plane for given shear angle, width of cut and uncut chip thickness
Go Area of Shear Plane = (Uncut Chip Thickness*Width of cut)/sin(Shear angle)
Uncut chip thickness for given width of cut, shear angle and area of shear plane
Go Uncut Chip Thickness = (Area of Shear Plane*sin(Shear angle))/Width of cut
Width of cut for given shear angle, uncut chip thickness and area of shear plane
Go Width of cut = (Area of Shear Plane*sin(Shear angle))/Uncut Chip Thickness
Shear angle for given area of shear plane, width of cut and uncut chip thickness
Go Shear angle = asin(Width of cut*Uncut Chip Thickness/Area of Shear Plane)
Side cutting edge angle for given width of cut
Go Side Cutting Edge Angle = acos(Width of cut/Depth of Cut)
Width of cut for given side cutting edge angle
Go Width of cut = Depth of Cut/cos(Side Cutting Edge Angle)

Width of cut for given side cutting edge angle Formula

Width of cut = Depth of Cut/cos(Side Cutting Edge Angle)
w = dcut/cos(Ψs)

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 Width of cut = Depth of Cut/cos(Side Cutting Edge Angle) to calculate the Width of cut, 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. Width of cut is denoted by w 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 (dcut) & Side Cutting Edge Angle s) 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 -> 50228.14 = 0.013/cos(1.3089969389955).

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 w = dcut/cos(Ψs) or Width of cut = Depth of Cut/cos(Side Cutting Edge Angle). Depth of Cut is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction & The Side Cutting Edge Angle for orthogonal cutting is defined as the angle between the side cutting edge and the side of the tool shank. It is often referred to as the lead angle.
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 Width of cut = Depth of Cut/cos(Side Cutting Edge Angle). To calculate Width of cut for given side cutting edge angle, you need Depth of Cut (dcut) & Side Cutting Edge Angle s). With our tool, you need to enter the respective value for Depth of Cut & Side Cutting Edge Angle 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 Width of cut?
In this formula, Width of cut uses Depth of Cut & Side Cutting Edge Angle. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Width of cut = (Area of Shear Plane*sin(Shear angle))/Uncut Chip Thickness
  • Width of cut = Cutting Force*(cos(Shear angle+Friction Angle-Rake Angle))/(Average Shear Stress on Shear Plane*Uncut Chip Thickness*cos(Friction Angle-Rake Angle))
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