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Back Rake Angle for Orthogonal Cutting Formula

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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. Check FAQs

α b = a \tan (\tan (α s) \cdot \tan (ψ))

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

Back Rake Angle for Orthogonal Cutting Example

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

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

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

0.5585 = a \tan (\tan (0.4104) \cdot \tan (0.9626))

0.5585rad = a \tan (\tan (0.4104rad) \cdot \tan (0.9626rad))

0.5585 = a \tan (\tan (0.4104) \cdot \tan (0.9626))

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Back Rake Angle for Orthogonal Cutting Solution

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

FIRST Step Consider the formula

α b = a \tan (\tan (α s) \cdot \tan (ψ))

Next Step Substitute values of Variables

∴

α b = a \tan (\tan (0.4104rad) \cdot \tan (0.9626rad))

Next Step Prepare to Evaluate

∴

α b = a \tan (\tan (0.4104) \cdot \tan (0.9626))

Next Step Evaluate

∴

α b = 0.558505209827397rad

LAST Step Rounding Answer

∴

α b = 0.5585rad

Back Rake Angle for Orthogonal Cutting Formula Elements

Variables

Functions

Back Rake Angle

Symbol: α_b

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Back Rake Angle

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

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

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 Back Rake Angle for Orthogonal Cutting?

Back Rake Angle for Orthogonal Cutting evaluator uses Back Rake Angle = atan(tan(Side Rake Angle)*tan(Side Cutting Edge Angle)) to evaluate the Back Rake Angle, The back rake angle for orthogonal cutting refers to the angle between the rake surface and a line perpendicular to the cutting edge in orthogonal cutting. It is a critical parameter that affects the cutting process's efficiency, tool life, and surface finish. Back Rake Angle is denoted by α_b symbol.

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

FAQs on Back Rake Angle for Orthogonal Cutting

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

The formula of Back Rake Angle for Orthogonal Cutting is expressed as Back Rake Angle = atan(tan(Side Rake Angle)*tan(Side Cutting Edge Angle)). Here is an example- -1.190467 = atan(tan(0.41039672)*tan(0.9625508278)).

How to calculate Back Rake Angle for Orthogonal Cutting?

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

Can the Back Rake Angle for Orthogonal Cutting be negative?

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

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

Back 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 Back Rake Angle for Orthogonal Cutting can be measured.

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Back Rake Angle for Orthogonal Cutting Formula

Back Rake Angle for Orthogonal Cutting Example

Back Rake Angle for Orthogonal Cutting Solution

Back Rake Angle for Orthogonal Cutting Formula Elements

Other formulas in Geometry of Turning Process category

How to Evaluate Back Rake Angle for Orthogonal Cutting?

FAQs on Back Rake Angle for Orthogonal Cutting

Variable Name