Side Cutting Edge Angle for Orthogonal Cutting Calculator

✖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.ⓘ Depth of Cut [d_cut]			+10% -10%
✖Cutting width in machining can be referred as the width the tool cuts into the workpiece.ⓘ Cutting Width in Machining [ω]			+10% -10%

✖The Side Cutting Edge Angle for Orthogonal Cutting is defined as the angle between the side cutting edge and the side of the shank of the cutting tool. It is often referred to as the lead angle.ⓘ Side Cutting Edge Angle for Orthogonal Cutting [ψ_s]

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Formula

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Side Cutting Edge Angle for Orthogonal Cutting

Formula

`"ψ"_{"s"} = acos("d"_{"cut"}/"ω")`

Example

`"55.1501°"=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 for Orthogonal Cutting = acos(Depth of Cut/Cutting Width in Machining)
ψ_s = acos(d_cut/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 for Orthogonal Cutting - (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 shank of the cutting tool. It is often referred to as the lead angle.
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.
Cutting Width in Machining - (Measured in Meter) - Cutting width in machining can be referred as the width the tool cuts into the workpiece.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ψ_s = acos(d_cut/ω) --> acos(0.006/0.0105)

Evaluating ... ...

ψ_s = 0.962550747884687

STEP 3: Convert Result to Output's Unit

0.962550747884687 Radian -->55.1500954209639 Degree (Check conversion here)

FINAL ANSWER

55.1500954209639 ≈ 55.1501 Degree <-- Side Cutting Edge Angle for Orthogonal Cutting

(Calculation completed in 00.006 seconds)

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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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 for Orthogonal Cutting))/(sin(Side Cutting Edge Angle for Orthogonal Cutting)))

Back Rake Angle for Orthogonal Cutting

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

Side Cutting Edge Angle for Orthogonal Cutting

Go Side Cutting Edge Angle for Orthogonal Cutting = acos(Depth of Cut/Cutting Width in Machining)

Uncut Chip Thickness

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

Machine Feed

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

Radial Force

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

Feed Force

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

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 Formula

Side Cutting Edge Angle for Orthogonal Cutting = acos(Depth of Cut/Cutting Width in Machining)
ψ_s = acos(d_cut/ω)

What is side cutting edge of Orthogonal Cutting?

It is the intersection of the face and side flank. Main cutting work is done by this cutting edge. It comes under the elements of a single-point tool.

What is side cutting edge angle for orthogonal cutting?

It is the angle between the side cutting edge and the side of the tool shank. It avoids the formation of built-up edges, controls the direction of chip flow, and distributes the cutting force and heat produced over a large cutting edge.

How to Calculate Side Cutting Edge Angle for Orthogonal Cutting?

Side Cutting Edge Angle for Orthogonal Cutting calculator uses Side Cutting Edge Angle for Orthogonal Cutting = acos(Depth of Cut/Cutting Width in Machining) to calculate the Side Cutting Edge Angle for Orthogonal Cutting, 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. Side Cutting Edge Angle for Orthogonal Cutting is denoted by ψ_s 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_cut) & Cutting Width in Machining (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 -> 1776.325 = acos(0.006/0.0105).

FAQ

What is Side Cutting Edge Angle for Orthogonal Cutting?

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 and is represented as ψ_s = acos(d_cut/ω) or Side Cutting Edge Angle for Orthogonal Cutting = acos(Depth of Cut/Cutting Width in Machining). 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 & Cutting width in machining can be referred as the width the tool cuts into the workpiece.

How to calculate Side Cutting Edge Angle for Orthogonal Cutting?

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 is calculated using Side Cutting Edge Angle for Orthogonal Cutting = acos(Depth of Cut/Cutting Width in Machining). To calculate Side Cutting Edge Angle for Orthogonal Cutting, you need Depth of Cut (d_cut) & Cutting Width in Machining (ω). With our tool, you need to enter the respective value for Depth of Cut & Cutting Width in Machining 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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