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

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Formula

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Side cutting edge angle for given width of cut

Formula

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

Example

`"20.51054°"=acos("9.0732mm"/"9.6873mm")`

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Side cutting edge angle for given width of cut Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side Cutting Edge Angle for Metal Cutting = acos(Depth of Cut Provided by Tool/Cutting Width)
ψ_. = acos(d_cut/w_c)
This formula uses 2 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)
acos - The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., acos(Number)

Variables Used

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.
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.
Cutting Width - (Measured in Meter) - Cutting Width can be defined as the width the tool cuts into the workpiece.

STEP 1: Convert Input(s) to Base Unit

Depth of Cut Provided by Tool: 9.0732 Millimeter --> 0.0090732 Meter (Check conversion here)
Cutting Width: 9.6873 Millimeter --> 0.0096873 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ψ_. = acos(d_cut/w_c) --> acos(0.0090732/0.0096873)

Evaluating ... ...

ψ_. = 0.357976530109204

STEP 3: Convert Result to Output's Unit

0.357976530109204 Radian -->20.5105443399991 Degree (Check conversion here)

FINAL ANSWER

20.5105443399991 ≈ 20.51054 Degree <-- Side Cutting Edge Angle for Metal Cutting

(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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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)

Side cutting edge angle for given width of cut Formula

Side Cutting Edge Angle for Metal Cutting = acos(Depth of Cut Provided by Tool/Cutting Width)
ψ_. = acos(d_cut/w_c)

What is side cutting edge angle?

The angle between the side cutting edge and the side of the tool shank is called the side cutting edge angle. It is often referred to as the lead angle. This is mainly used for finding the width of cut, depth of cut, etc.

How to Calculate Side cutting edge angle for given width of cut?

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

How to calculate Side cutting edge angle for given width of cut using this online calculator? To use this online calculator for Side cutting edge angle for given width of cut, enter Depth of Cut Provided by Tool (d_cut) & Cutting Width (w_c) and hit the calculate button. Here is how the Side cutting edge angle for given width of cut calculation can be explained with given input values -> 1175.168 = acos(0.0090732/0.0096873).

FAQ

What is Side cutting edge angle for given width of cut?

The Side cutting edge angle for given width of cut formula is defined as cos inverse of the ratio of the width of cut to the depth of cut and is represented as ψ_. = acos(d_cut/w_c) or Side Cutting Edge Angle for Metal Cutting = acos(Depth of Cut Provided by Tool/Cutting Width). Depth of cut provided by tool provides necessary depth to workpiece that is required to remove material during machining process & Cutting Width can be defined as the width the tool cuts into the workpiece.

How to calculate Side cutting edge angle for given width of cut?

The Side cutting edge angle for given width of cut formula is defined as cos inverse of the ratio of the width of cut to the depth of cut is calculated using Side Cutting Edge Angle for Metal Cutting = acos(Depth of Cut Provided by Tool/Cutting Width). To calculate Side cutting edge angle for given width of cut, you need Depth of Cut Provided by Tool (d_cut) & Cutting Width (w_c). With our tool, you need to enter the respective value for Depth of Cut Provided by Tool & Cutting Width and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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