Side Cutting Edge Angle for Orthogonal Cutting Calculator

✖Depth of cut refers to the thickness of the material removed by the cutting tool in a single pass.ⓘ Depth of Cut [d]			+10% -10%
✖Cutting width is the width of the material removed by the cutting tool during each pass. It's an essential parameter that affects various aspects of the machining process.ⓘ Cutting Width [ω]			+10% -10%

✖Side cutting edge angle refers to the angle formed between the side cutting edge of the tool and a line perpendicular to the workpiece surface.ⓘ Side Cutting Edge Angle for Orthogonal Cutting [ψ]

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Formula

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Side Cutting Edge Angle for Orthogonal Cutting

Formula

`"ψ" = acos("d"/"ω")`

Example

`"0.962551rad"=acos("6mm"/"10.5mm")`

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Side Cutting Edge Angle for Orthogonal Cutting Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side Cutting Edge Angle = acos(Depth of Cut/Cutting Width)
ψ = acos(d/ω)
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 - (Measured in Radian) - Side cutting edge angle refers to the angle formed between the side cutting edge of the tool and a line perpendicular to the workpiece surface.
Depth of Cut - (Measured in Meter) - Depth of cut refers to the thickness of the material removed by the cutting tool in a single pass.
Cutting Width - (Measured in Meter) - Cutting width is the width of the material removed by the cutting tool during each pass. It's an essential parameter that affects various aspects of the machining process.

STEP 1: Convert Input(s) to Base Unit

Depth of Cut: 6 Millimeter --> 0.006 Meter (Check conversion here)
Cutting Width: 10.5 Millimeter --> 0.0105 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ψ = acos(d/ω) --> acos(0.006/0.0105)

Evaluating ... ...

ψ = 0.962550747884687

STEP 3: Convert Result to Output's Unit

0.962550747884687 Radian --> No Conversion Required

FINAL ANSWER

0.962550747884687 ≈ 0.962551 Radian <-- Side Cutting Edge Angle

(Calculation completed in 00.004 seconds)

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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National Institute Of Technology (NIT), Hamirpur

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< 10+ Geometry of Turning Process Calculators

Side Rake Angle for Orthogonal Cutting

Go Side Rake Angle = atan((tan(Back Rake Angle)*cos(Side Cutting Edge Angle))/(sin(Side Cutting Edge Angle)))

Back Rake Angle for Orthogonal Cutting

Go Back Rake Angle = atan(tan(Side Rake Angle)*tan(Side Cutting Edge Angle))

Number of Jobs Revolution per Unit Time

Go Number of Revolutions = Cutting Speed/(pi*Initial Diameter of Workpiece)

Initial Diameter of Job in Turning

Go Initial Diameter of Workpiece = Cutting Speed/(pi*Number of Revolutions)

Cutting Speed

Go Cutting Speed = pi*Initial Diameter of Workpiece*Number of Revolutions

Side Cutting Edge Angle for Orthogonal Cutting

Go Side Cutting Edge Angle = acos(Depth of Cut/Cutting Width)

Uncut Chip Thickness

Go Uncut Chip Thickness = Feed*cos(Side Cutting Edge Angle)

Machine Feed

Go Feed = Uncut Chip Thickness/cos(Side Cutting Edge Angle)

Radial Force

Go Radial Force = Thrust Force*sin(Side Cutting Edge Angle)

Feed Force

Go Feed Force = Thrust Force*cos(Side Cutting Edge Angle)

Side Cutting Edge Angle for Orthogonal Cutting Formula

Side Cutting Edge Angle = acos(Depth of Cut/Cutting Width)
ψ = acos(d/ω)

Side Cutting Edge Angle

1)Chip Flow Direction: SCEA influences the direction in which the chips flow away from the cutting zone. Proper management of chip flow is essential for avoiding re-cutting of chips and ensuring a smooth machining process.
2)Cutting Forces Distribution: The distribution of cutting forces along the cutting edge is affected by the SCEA. A larger angle tends to spread the forces over a larger portion of the cutting edge, potentially reducing tool wear.
3)Surface Finish: The surface finish of the machined part can be influenced by the SCEA. A smaller angle generally results in a better surface finish but might increase cutting forces and tool wear.
4)Tool Life: By influencing the distribution of cutting forces and heat generation, the SCEA can impact the tool's life. An optimal SCEA can help in prolonging tool life.
5)Depth of Cut: The effective depth of cut is influenced by the SCEA. As the angle increases, the effective depth of cut decreases for the same nominal depth of cut.

How to Calculate Side Cutting Edge Angle for Orthogonal Cutting?

Side Cutting Edge Angle for Orthogonal Cutting calculator uses Side Cutting Edge Angle = acos(Depth of Cut/Cutting Width) to calculate the Side Cutting Edge Angle, Side cutting edge angle for orthogonal cutting defined as the angle between the cutting edge of the tool that is parallel to the feed direction and a line perpendicular to the workpiece's surface. This angle helps in directing the flow of material being cut and affects various aspects of the machining process. Side Cutting Edge Angle is denoted by ψ symbol.

How to calculate Side Cutting Edge Angle for Orthogonal Cutting using this online calculator? To use this online calculator for Side Cutting Edge Angle for Orthogonal Cutting, enter Depth of Cut (d) & Cutting Width (ω) and hit the calculate button. Here is how the Side Cutting Edge Angle for Orthogonal Cutting calculation can be explained with given input values -> 0.962551 = acos(0.006/0.0105).

FAQ

What is Side Cutting Edge Angle for Orthogonal Cutting?

Side cutting edge angle for orthogonal cutting defined as the angle between the cutting edge of the tool that is parallel to the feed direction and a line perpendicular to the workpiece's surface. This angle helps in directing the flow of material being cut and affects various aspects of the machining process and is represented as ψ = acos(d/ω) or Side Cutting Edge Angle = acos(Depth of Cut/Cutting Width). Depth of cut refers to the thickness of the material removed by the cutting tool in a single pass & Cutting width is the width of the material removed by the cutting tool during each pass. It's an essential parameter that affects various aspects of the machining process.

How to calculate Side Cutting Edge Angle for Orthogonal Cutting?

Side cutting edge angle for orthogonal cutting defined as the angle between the cutting edge of the tool that is parallel to the feed direction and a line perpendicular to the workpiece's surface. This angle helps in directing the flow of material being cut and affects various aspects of the machining process is calculated using Side Cutting Edge Angle = acos(Depth of Cut/Cutting Width). To calculate Side Cutting Edge Angle for Orthogonal Cutting, you need Depth of Cut (d) & Cutting Width (ω). With our tool, you need to enter the respective value for Depth of Cut & 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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