## Normal rake angle for given Resultant force, force along shear, shear, and friction angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rake Angle = Shear angle+Friction angle-(arccos(Resultant Force/Force along shear plane))
α = ϕ+β-(arccos(Pn/Fs))
This formula uses 2 Functions, 5 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
arccos - Inverse trigonometric cosine function, arccos(Number)
Variables Used
Rake Angle - (Measured in Radian) - Rake Angle is the angle of orientation of tool’s rake surface from the reference plane and measured on machine longitudinal plane.
Shear angle - (Measured in Radian) - Shear angle is the inclination of the shear plane with the horizontal axis at machining point.
Friction angle - (Measured in Radian) - The Friction angle is termed as the force between the tool and chip, which resists the flow of the chip along the rake face of the tool is friction force and having a friction angle β.
Resultant Force - (Measured in Newton) - The Resultant Force is defined as the total net force of various forces acting on an object.
Force along shear plane - (Measured in Newton) - Force along shear plane is the shear force along the shear plane.
STEP 1: Convert Input(s) to Base Unit
Shear angle: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Resultant Force: 10 Newton --> 10 Newton No Conversion Required
Force along shear plane: 26 Newton --> 26 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
α = ϕ+β-(arccos(Pn/Fs)) --> 0.785398163397301+10-(arccos(10/26))
Evaluating ... ...
α = 9.60939295630217
STEP 3: Convert Result to Output's Unit
9.60939295630217 Radian -->550.577660078959 Degree (Check conversion here)
550.577660078959 Degree <-- Rake Angle
(Calculation completed in 00.021 seconds)
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## Credits

Created by Shikha Maurya
Indian Institute of Technology (IIT), Bombay
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K J Somaiya College of Engineering (K J Somaiya), Mumbai
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## Normal rake angle for given Resultant force, force along shear, shear, and friction angle Formula

Rake Angle = Shear angle+Friction angle-(arccos(Resultant Force/Force along shear plane))
α = ϕ+β-(arccos(Pn/Fs))

## What is Normal rake angle

Normal rake angle is a parameter used in various cutting and machining processes, describing the angle of the cutting face relative to the work. It is defined is the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane

## How to Calculate Normal rake angle for given Resultant force, force along shear, shear, and friction angle?

Normal rake angle for given Resultant force, force along shear, shear, and friction angle calculator uses Rake Angle = Shear angle+Friction angle-(arccos(Resultant Force/Force along shear plane)) to calculate the Rake Angle, Normal rake angle for given Resultant force, force along shear, shear, and friction angles is defined as the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane. Rake Angle is denoted by α symbol.

How to calculate Normal rake angle for given Resultant force, force along shear, shear, and friction angle using this online calculator? To use this online calculator for Normal rake angle for given Resultant force, force along shear, shear, and friction angle, enter Shear angle (ϕ), Friction angle (β), Resultant Force (Pn) & Force along shear plane (Fs) and hit the calculate button. Here is how the Normal rake angle for given Resultant force, force along shear, shear, and friction angle calculation can be explained with given input values -> 550.5777 = 0.785398163397301+10-(arccos(10/26)).

### FAQ

What is Normal rake angle for given Resultant force, force along shear, shear, and friction angle?
Normal rake angle for given Resultant force, force along shear, shear, and friction angles is defined as the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane and is represented as α = ϕ+β-(arccos(Pn/Fs)) or Rake Angle = Shear angle+Friction angle-(arccos(Resultant Force/Force along shear plane)). Shear angle is the inclination of the shear plane with the horizontal axis at machining point, The Friction angle is termed as the force between the tool and chip, which resists the flow of the chip along the rake face of the tool is friction force and having a friction angle β, The Resultant Force is defined as the total net force of various forces acting on an object & Force along shear plane is the shear force along the shear plane.
How to calculate Normal rake angle for given Resultant force, force along shear, shear, and friction angle?
Normal rake angle for given Resultant force, force along shear, shear, and friction angles is defined as the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane is calculated using Rake Angle = Shear angle+Friction angle-(arccos(Resultant Force/Force along shear plane)). To calculate Normal rake angle for given Resultant force, force along shear, shear, and friction angle, you need Shear angle (ϕ), Friction angle (β), Resultant Force (Pn) & Force along shear plane (Fs). With our tool, you need to enter the respective value for Shear angle, Friction angle, Resultant Force & Force along shear plane 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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