Width of cut for given side cutting edge angle Calculator

✖Depth of cut provided by tool provides necessary depth to workpiece that is required to remove material during machining process.ⓘ Depth of Cut Provided by Tool [d_cut]			+10% -10%
✖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.ⓘ Side Cutting Edge Angle for Metal Cutting [ψ_.]			+10% -10%

✖Cutting Width can be defined as the width the tool cuts into the workpiece.ⓘ Width of cut for given side cutting edge angle [w_c]

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Formula

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Width of cut for given side cutting edge angle

Formula

`"w"_{"c"} = "d"_{"cut"}/cos("ψ"_{"."})`

Example

`"9.687266mm"="9.0732mm"/cos("20.51°")`

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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)
w_c = d_cut/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

w_c = d_cut/cos(ψ_.) --> 0.0090732/cos(0.35796702958397)

Evaluating ... ...

w_c = 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

Sanjay Krishna has created this Calculator and 300+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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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 in Machining = Cutting Force in Metal Cutting*(cos(Shearing Angle+Cutting Friction Angle-Rake Angle of Cutting Tool))/(Cutting Width*Average Shear Stress Produced on Shear Plane*cos(Cutting Friction Angle-Rake Angle of Cutting Tool))

Width of cut given cutting force, shear stress, uncut chip, friction, normal rake and shear angles

Go 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))

Area of shear plane for given shear angle, width of cut and uncut chip thickness

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

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

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

Go Shearing Angle = asin(Cutting Width*Uncut Chip Thickness in Machining/Area of Shear Plane)

Side cutting edge angle for given width of cut

Go Side Cutting Edge Angle for Metal Cutting = acos(Depth of Cut Provided by Tool/Cutting Width)

Width of cut for given side cutting edge angle

Go Cutting Width = Depth of Cut Provided by Tool/cos(Side Cutting Edge Angle for Metal Cutting)

Width of cut for given side cutting edge angle Formula

Cutting Width = Depth of Cut Provided by Tool/cos(Side Cutting Edge Angle for Metal Cutting)
w_c = d_cut/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 w_c 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 (d_cut) & 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 w_c = d_cut/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 (d_cut) & 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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