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Side Cutting Edge Angle for Orthogonal Cutting Formula

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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. Check FAQs

ψ = a \cos (\frac{d}{ω})

ψ - Side Cutting Edge Angle?d - Depth of Cut?ω - Cutting Width?

Side Cutting Edge Angle for Orthogonal Cutting Example

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Here is how the Side Cutting Edge Angle for Orthogonal Cutting equation looks like with Values.

Here is how the Side Cutting Edge Angle for Orthogonal Cutting equation looks like with Units.

Here is how the Side Cutting Edge Angle for Orthogonal Cutting equation looks like.

0.9626 = a \cos (\frac{6}{10.5})

0.9626rad = a \cos (\frac{6mm}{10.5mm})

0.9626 = a \cos (\frac{6}{10.5})

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Side Cutting Edge Angle for Orthogonal Cutting Solution

Follow our step by step solution on how to calculate Side Cutting Edge Angle for Orthogonal Cutting?

FIRST Step Consider the formula

ψ = a \cos (\frac{d}{ω})

Next Step Substitute values of Variables

∴

ψ = a \cos (\frac{6mm}{10.5mm})

Next Step Convert Units

∴

ψ = a \cos (\frac{0.006m}{0.0105m})

Next Step Prepare to Evaluate

∴

ψ = a \cos (\frac{0.006}{0.0105})

Next Step Evaluate

∴

ψ = 0.962550747884687rad

LAST Step Rounding Answer

∴

ψ = 0.9626rad

Side Cutting Edge Angle for Orthogonal Cutting Formula Elements

Variables

Functions

Side Cutting Edge Angle

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.

Symbol: ψ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Side Cutting Edge Angle

Depth of Cut

Depth of cut refers to the thickness of the material removed by the cutting tool in a single pass.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Cut

Cutting Width

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.

Symbol: ω

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Cutting Width

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: 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.

Syntax: acos(Number)

Other formulas in Geometry of Turning Process category

Go Uncut Chip Thickness

t 1 = f \cdot \cos (ψ)

Go Machine Feed

f = \frac{t 1}{\cos (ψ)}

Go Cutting Speed

V c = π \cdot d i \cdot N

Go Number of Jobs Revolution per Unit Time

N = \frac{V c}{π \cdot d i}

How to Evaluate Side Cutting Edge Angle for Orthogonal Cutting?

Side Cutting Edge Angle for Orthogonal Cutting evaluator uses Side Cutting Edge Angle = acos(Depth of Cut/Cutting Width) to evaluate 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 evaluate Side Cutting Edge Angle for Orthogonal Cutting using this online evaluator? To use this online evaluator for Side Cutting Edge Angle for Orthogonal Cutting, enter Depth of Cut (d) & Cutting Width (ω) and hit the calculate button.

FAQs on Side Cutting Edge Angle for Orthogonal Cutting

What is the formula to find Side Cutting Edge Angle for Orthogonal Cutting?

The formula of Side Cutting Edge Angle for Orthogonal Cutting is expressed as Side Cutting Edge Angle = acos(Depth of Cut/Cutting Width). Here is an example- 0.962551 = acos(0.006/0.0105).

How to calculate Side Cutting Edge Angle for Orthogonal Cutting?

With Depth of Cut (d) & Cutting Width (ω) we can find Side Cutting Edge Angle for Orthogonal Cutting using the formula - Side Cutting Edge Angle = acos(Depth of Cut/Cutting Width). This formula also uses Cosine (cos), Inverse Cosine (acos) function(s).

Can the Side Cutting Edge Angle for Orthogonal Cutting be negative?

No, the Side Cutting Edge Angle for Orthogonal Cutting, measured in Angle cannot be negative.

Which unit is used to measure Side Cutting Edge Angle for Orthogonal Cutting?

Side Cutting Edge Angle for Orthogonal Cutting is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Side Cutting Edge Angle for Orthogonal Cutting can be measured.

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Side Cutting Edge Angle for Orthogonal Cutting Formula

Side Cutting Edge Angle for Orthogonal Cutting Example

Side Cutting Edge Angle for Orthogonal Cutting Solution

Side Cutting Edge Angle for Orthogonal Cutting Formula Elements

Other formulas in Geometry of Turning Process category

How to Evaluate Side Cutting Edge Angle for Orthogonal Cutting?

FAQs on Side Cutting Edge Angle for Orthogonal Cutting

Variable Name