Working Major Cutting Edge Angle given Roughness Value Solution

STEP 0: Pre-Calculation Summary
Formula Used
Working Major Cutting Edge Angle = (acot((Feed/(4*Roughness Value))-cot(Working Minor Cutting Edge)))
θ = (acot((f/(4*R))-cot(θ')))
This formula uses 2 Functions, 4 Variables
Functions Used
cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(Angle)
acot - The ACOT function calculates the arccotangent of a given number which is an angle given in radians from 0 (zero) to pi., acot(Number)
Variables Used
Working Major Cutting Edge Angle - (Measured in Radian) - The Working Major Cutting Edge Angle is the angle formed by the cutting edge, starting from the point where the cutting edge first engages with the workpiece.
Feed - (Measured in Meter) - The Feed is the distance as the cutting tool advances along the length of the work for every revolution of the spindle.
Roughness Value - (Measured in Meter) - Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.
Working Minor Cutting Edge - (Measured in Radian) - The Working Minor Cutting Edge is the portion of the cutting edge that extends from the end of the primary cutting edge to the point where it effectively has no cutting action.
STEP 1: Convert Input(s) to Base Unit
Feed: 0.9 Millimeter --> 0.0009 Meter (Check conversion ​here)
Roughness Value: 0.017067 Millimeter --> 1.7067E-05 Meter (Check conversion ​here)
Working Minor Cutting Edge: 4.69 Degree --> 0.0818559419185187 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
θ = (acot((f/(4*R))-cot(θ'))) --> (acot((0.0009/(4*1.7067E-05))-cot(0.0818559419185187)))
Evaluating ... ...
θ = 0.788382205131509
STEP 3: Convert Result to Output's Unit
0.788382205131509 Radian -->45.1709729972611 Degree (Check conversion ​here)
FINAL ANSWER
45.1709729972611 45.17097 Degree <-- Working Major Cutting Edge Angle
(Calculation completed in 00.007 seconds)

Credits

Creator Image
Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
Parul Keshav has created this Calculator and 300+ more calculators!
Verifier Image
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 2500+ more calculators!

Cutting Force and Surface Roughness Calculators

Cutting Force given Specific Cutting Energy in Machining
​ LaTeX ​ Go Cutting Force = Specific Cutting Energy in Machining*Cross Sectional Area of Uncut Chip
Cutting Force given Rate of Energy Consumption during Machining
​ LaTeX ​ Go Cutting Force = Rate of Energy Consumption during Machining/Cutting Speed
Resultant Cutting Force using Force required to remove Chip
​ LaTeX ​ Go Resultant Cutting Force = Force required to Remove Chip+Plowing Force
Force required to remove Chip and Acting on Tool Face
​ LaTeX ​ Go Force required to Remove Chip = Resultant Cutting Force-Plowing Force

Working Major Cutting Edge Angle given Roughness Value Formula

​LaTeX ​Go
Working Major Cutting Edge Angle = (acot((Feed/(4*Roughness Value))-cot(Working Minor Cutting Edge)))
θ = (acot((f/(4*R))-cot(θ')))

What is mean roughness Value?

The Mean Roughness (Roughness Average Ra) is the arithmetic average of the absolute values of the roughness profile ordinates. Ra is one of the most effective surface roughness measures commonly adopted in general engineering practice. It gives a good general description of the height variations in the surface.

How to Calculate Working Major Cutting Edge Angle given Roughness Value?

Working Major Cutting Edge Angle given Roughness Value calculator uses Working Major Cutting Edge Angle = (acot((Feed/(4*Roughness Value))-cot(Working Minor Cutting Edge))) to calculate the Working Major Cutting Edge Angle, Working Major Cutting Edge Angle given Roughness Value is that the entire part of the cutting edge which commences at the point where the working cutting edge angle is zero and of which at least a portion produces the transient surface on the workpiece. Working Major Cutting Edge Angle is denoted by θ symbol.

How to calculate Working Major Cutting Edge Angle given Roughness Value using this online calculator? To use this online calculator for Working Major Cutting Edge Angle given Roughness Value, enter Feed (f), Roughness Value (R) & Working Minor Cutting Edge (θ') and hit the calculate button. Here is how the Working Major Cutting Edge Angle given Roughness Value calculation can be explained with given input values -> 2588.106 = (acot((0.0009/(4*1.7067E-05))-cot(0.0818559419185187))).

FAQ

What is Working Major Cutting Edge Angle given Roughness Value?
Working Major Cutting Edge Angle given Roughness Value is that the entire part of the cutting edge which commences at the point where the working cutting edge angle is zero and of which at least a portion produces the transient surface on the workpiece and is represented as θ = (acot((f/(4*R))-cot(θ'))) or Working Major Cutting Edge Angle = (acot((Feed/(4*Roughness Value))-cot(Working Minor Cutting Edge))). The Feed is the distance as the cutting tool advances along the length of the work for every revolution of the spindle, Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates & The Working Minor Cutting Edge is the portion of the cutting edge that extends from the end of the primary cutting edge to the point where it effectively has no cutting action.
How to calculate Working Major Cutting Edge Angle given Roughness Value?
Working Major Cutting Edge Angle given Roughness Value is that the entire part of the cutting edge which commences at the point where the working cutting edge angle is zero and of which at least a portion produces the transient surface on the workpiece is calculated using Working Major Cutting Edge Angle = (acot((Feed/(4*Roughness Value))-cot(Working Minor Cutting Edge))). To calculate Working Major Cutting Edge Angle given Roughness Value, you need Feed (f), Roughness Value (R) & Working Minor Cutting Edge (θ'). With our tool, you need to enter the respective value for Feed, Roughness Value & Working Minor Cutting Edge and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!