Back Rake Angle for Orthogonal Cutting Calculator

✖The Side Rake Angle is an angle between the tool face and a line parallel to the base of the tool and measured in a plane perpendicular to the base at the side cutting edge.ⓘ Side Rake Angle [α_s]			+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]			+10% -10%

✖Back Rake Angle in ASA system is the angle between the top surface of the cutting tool and a line perpendicular to the machined surface. It plays a crucial role in cutting performance parameters.ⓘ Back Rake Angle for Orthogonal Cutting [α_b]

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Formula

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Back Rake Angle for Orthogonal Cutting

Formula

`"α"_{"b"} = atan(tan("α"_{"s"})*tan("ψ"_{"s"}))`

Example

`"31.99999°"=atan(tan("23.514°")*tan("55.1501°"))`

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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 for Orthogonal Cutting))
α_b = atan(tan(α_s)*tan(ψ_s))
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 in ASA system is the angle between the top surface of the cutting tool and a line perpendicular to the machined surface. It plays a crucial role in cutting performance parameters.
Side Rake Angle - (Measured in Radian) - The Side Rake Angle is an angle between the tool face and a line parallel to the base of the tool and measured in a plane perpendicular to the base at the side cutting edge.
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.

STEP 1: Convert Input(s) to Base Unit

Side Rake Angle: 23.514 Degree --> 0.410396720313869 Radian (Check conversion here)
Side Cutting Edge Angle for Orthogonal Cutting: 55.1501 Degree --> 0.962550827803944 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α_b = atan(tan(α_s)*tan(ψ_s)) --> atan(tan(0.410396720313869)*tan(0.962550827803944))

Evaluating ... ...

α_b = 0.558505210216729

STEP 3: Convert Result to Output's Unit

0.558505210216729 Radian -->31.9999913814914 Degree (Check conversion here)

FINAL ANSWER

31.9999913814914 ≈ 31.99999 Degree <-- Back Rake Angle

(Calculation completed in 00.004 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!

Verified by Rushi Shah

K J Somaiya College of Engineering (K J Somaiya), Mumbai

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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

Back Rake Angle for Orthogonal Cutting Formula

Back Rake Angle = atan(tan(Side Rake Angle)*tan(Side Cutting Edge Angle for Orthogonal Cutting))
α_b = atan(tan(α_s)*tan(ψ_s))

What is back rake angle for orthogonal 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 for Orthogonal Cutting)) to calculate the Back Rake Angle, The Back rake angle for orthogonal cutting formula is defined as the inclination of the face toward or away from the end or the end cutting edge of the tool when the cutting tool is perpendicular to the direction of tool motion. 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 for Orthogonal Cutting (ψ_s) and hit the calculate button. Here is how the Back Rake Angle for Orthogonal Cutting calculation can be explained with given input values -> 1833.464 = atan(tan(0.410396720313869)*tan(0.962550827803944)).

FAQ

What is Back Rake Angle for Orthogonal Cutting?

The Back rake angle for orthogonal cutting formula is defined as the inclination of the face toward or away from the end or the end cutting edge of the tool when the cutting tool is perpendicular to the direction of tool motion and is represented as α_b = atan(tan(α_s)*tan(ψ_s)) or Back Rake Angle = atan(tan(Side Rake Angle)*tan(Side Cutting Edge Angle for Orthogonal Cutting)). The Side Rake Angle is an angle between the tool face and a line parallel to the base of the tool and measured in a plane perpendicular to the base at the side cutting edge & 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.

How to calculate Back Rake Angle for Orthogonal Cutting?

The Back rake angle for orthogonal cutting formula is defined as the inclination of the face toward or away from the end or the end cutting edge of the tool when the cutting tool is perpendicular to the direction of tool motion is calculated using Back Rake Angle = atan(tan(Side Rake Angle)*tan(Side Cutting Edge Angle for Orthogonal Cutting)). To calculate Back Rake Angle for Orthogonal Cutting, you need Side Rake Angle (α_s) & Side Cutting Edge Angle for Orthogonal Cutting (ψ_s). With our tool, you need to enter the respective value for Side Rake Angle & Side Cutting Edge Angle for Orthogonal Cutting 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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