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Back Rake Angle for Orthogonal Cutting Calculator

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Geometry of Turning Process Mechanics of Orthogonal Cutting Merchant Force Circle Metal Cutting Tools

✖Side rake angle is the angle formed between the side cutting edge of the tool and a line perpendicular to the workpiece surface.ⓘ Side Rake Angle [α_s]			+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 [ψ]			+10% -10%

✖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.ⓘ Back Rake Angle for Orthogonal Cutting [α_b]

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Back Rake Angle for Orthogonal Cutting Solution

STEP 0: Pre-Calculation Summary

Formula Used

Back Rake Angle = atan(tan(Side Rake Angle)*tan(Side Cutting Edge Angle))
α_b = atan(tan(α_s)*tan(ψ))
This formula uses 2 Functions, 3 Variables

Functions Used

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., 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., atan(Number)

Variables Used

Back Rake Angle - (Measured in Radian) - 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.
Side Rake Angle - (Measured in Radian) - Side rake angle is the angle formed between the side cutting edge of the tool and a line perpendicular to the workpiece surface.
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.

STEP 1: Convert Input(s) to Base Unit

Side Rake Angle: 0.41039672 Radian --> 0.41039672 Radian No Conversion Required
Side Cutting Edge Angle: 0.9625508278 Radian --> 0.9625508278 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α_b = atan(tan(α_s)*tan(ψ)) --> atan(tan(0.41039672)*tan(0.9625508278))

Evaluating ... ...

α_b = 0.558505209827397

STEP 3: Convert Result to Output's Unit

0.558505209827397 Radian --> No Conversion Required

FINAL ANSWER

0.558505209827397 ≈ 0.558505 Radian <-- Back Rake Angle

(Calculation completed in 00.020 seconds)

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Created by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

Sai Venkata Phanindra Chary Arendra has created this Calculator and 100+ more calculators!

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< Geometry of Turning Process Calculators

Number of Jobs Revolution per Unit Time

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

Cutting Speed

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

Uncut Chip Thickness

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

Machine Feed

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

Back Rake Angle for Orthogonal Cutting Formula

LaTeX Go

Back Rake Angle = atan(tan(Side Rake Angle)*tan(Side Cutting Edge Angle))
α_b = atan(tan(α_s)*tan(ψ))

Optimal back rake angle

A positive back rake angle means that the rake face slopes backward away from the cutting edge, while a negative back rake angle slopes forward toward the cutting edge. The back rake angle significantly influences the cutting process by affecting chip formation, cutting forces, tool life, and surface finish.
Positive Back Rake Angle:
1)Reduces cutting forces by allowing the chip to flow more freely.
2)Improves chip control and evacuation.
3)Reduces cutting temperature.
4)Provides better surface finish.
5)However, it may decrease tool life due to increased friction between the tool and the workpiece.
Negative Back Rake Angle:
1)Increases cutting forces.
2)Enhances tool life by strengthening the cutting edge.
3)May cause poor chip control and surface finish.
4)Generates more heat during cutting.

How to Calculate Back Rake Angle for Orthogonal Cutting?

Back Rake Angle for Orthogonal Cutting calculator uses Back Rake Angle = atan(tan(Side Rake Angle)*tan(Side Cutting Edge Angle)) to calculate 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 calculate Back Rake Angle for Orthogonal Cutting using this online calculator? To use this online calculator for Back Rake Angle for Orthogonal Cutting, enter Side Rake Angle (α_s) & Side Cutting Edge Angle (ψ) and hit the calculate button. Here is how the Back Rake Angle for Orthogonal Cutting calculation can be explained with given input values -> -1.190467 = atan(tan(0.41039672)*tan(0.9625508278)).

FAQ

What is Back Rake Angle for Orthogonal Cutting?

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 and is represented as α_b = atan(tan(α_s)*tan(ψ)) or Back Rake Angle = atan(tan(Side Rake Angle)*tan(Side Cutting Edge Angle)). Side rake angle is the angle formed between the side cutting edge of the tool and a line perpendicular to the workpiece surface & 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.

How to calculate Back Rake Angle for Orthogonal Cutting?

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 is calculated using Back Rake Angle = atan(tan(Side Rake Angle)*tan(Side Cutting Edge Angle)). To calculate Back Rake Angle for Orthogonal Cutting, you need Side Rake Angle (α_s) & Side Cutting Edge Angle (ψ). With our tool, you need to enter the respective value for Side Rake Angle & Side Cutting Edge Angle 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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