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Side Rake Angle for Orthogonal Cutting Formula

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Side rake angle is the angle formed between the side cutting edge of the tool and a line perpendicular to the workpiece surface. Check FAQs

α s = a \tan (\frac{\tan (α b) \cdot \cos (ψ)}{\sin (ψ)})

α_s - Side Rake Angle?α_b - Back Rake Angle?ψ - Side Cutting Edge Angle?

Side Rake Angle for Orthogonal Cutting Example

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

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

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

0.4104 = a \tan (\frac{\tan (0.5585) \cdot \cos (0.9626)}{\sin (0.9626)})

0.4104rad = a \tan (\frac{\tan (0.5585rad) \cdot \cos (0.9626rad)}{\sin (0.9626rad)})

0.4104 = a \tan (\frac{\tan (0.5585) \cdot \cos (0.9626)}{\sin (0.9626)})

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Side Rake Angle for Orthogonal Cutting Solution

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

FIRST Step Consider the formula

α s = a \tan (\frac{\tan (α b) \cdot \cos (ψ)}{\sin (ψ)})

Next Step Substitute values of Variables

∴

α s = a \tan (\frac{\tan (0.5585rad) \cdot \cos (0.9626rad)}{\sin (0.9626rad)})

Next Step Prepare to Evaluate

∴

α s = a \tan (\frac{\tan (0.5585) \cdot \cos (0.9626)}{\sin (0.9626)})

Next Step Evaluate

∴

α s = 0.410396549184481rad

LAST Step Rounding Answer

∴

α s = 0.4104rad

Side Rake Angle for Orthogonal Cutting Formula Elements

Variables

Functions

Side Rake Angle

Side rake angle is the angle formed between the side cutting edge of the tool and a line perpendicular to the workpiece surface.

Symbol: α_s

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Side Rake Angle

Back Rake Angle

Back rake angle is the angle between rake face and line parallel to base of tool measured in a plane perpendicular to the base. It is an important parameters in tool geometry for machining operations.

Symbol: α_b

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Back Rake Angle

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

cos

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

Syntax: cos(Angle)

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

atan

Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle.

Syntax: atan(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 Rake Angle for Orthogonal Cutting?

Side Rake Angle for Orthogonal Cutting evaluator uses Side Rake Angle = atan((tan(Back Rake Angle)*cos(Side Cutting Edge Angle))/(sin(Side Cutting Edge Angle))) to evaluate the Side Rake Angle, Side rake angle for orthogonal cutting is a critical parameter in orthogonal cutting that affects chip formation, cutting forces, tool wear, surface finish, and heat generation. Selecting the appropriate SRA based on the specific material and cutting conditions is essential for optimizing the cutting process, improving tool life, and achieving the desired surface quality. Understanding the role and impact of the side rake angle allows for more effective and efficient metal cutting operations. Side Rake Angle is denoted by α_s symbol.

How to evaluate Side Rake Angle for Orthogonal Cutting using this online evaluator? To use this online evaluator for Side Rake Angle for Orthogonal Cutting, enter Back Rake Angle (α_b) & Side Cutting Edge Angle (ψ) and hit the calculate button.

FAQs on Side Rake Angle for Orthogonal Cutting

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

The formula of Side Rake Angle for Orthogonal Cutting is expressed as Side Rake Angle = atan((tan(Back Rake Angle)*cos(Side Cutting Edge Angle))/(sin(Side Cutting Edge Angle))). Here is an example- -0.108272 = atan((tan(0.558505)*cos(0.9625508278))/(sin(0.9625508278))).

How to calculate Side Rake Angle for Orthogonal Cutting?

With Back Rake Angle (α_b) & Side Cutting Edge Angle (ψ) we can find Side Rake Angle for Orthogonal Cutting using the formula - Side Rake Angle = atan((tan(Back Rake Angle)*cos(Side Cutting Edge Angle))/(sin(Side Cutting Edge Angle))). This formula also uses SineCosineTangent, Inverse tan function(s).

Can the Side Rake Angle for Orthogonal Cutting be negative?

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

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

Side Rake 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 Rake Angle for Orthogonal Cutting can be measured.

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Side Rake Angle for Orthogonal Cutting Formula

Side Rake Angle for Orthogonal Cutting Example

Side Rake Angle for Orthogonal Cutting Solution

Side Rake Angle for Orthogonal Cutting Formula Elements

Other formulas in Geometry of Turning Process category

How to Evaluate Side Rake Angle for Orthogonal Cutting?

FAQs on Side Rake Angle for Orthogonal Cutting

Variable Name