Working Major Cutting Edge Angle given Roughness Value Calculator

✖The Feed is the distance as the cutting tool advances along the length of the work for every revolution of the spindle.ⓘ Feed [f]			+10% -10%
✖Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.ⓘ Roughness Value [R]			+10% -10%
✖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.ⓘ Working Minor Cutting Edge [θ']			+10% -10%

✖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.ⓘ Working Major Cutting Edge Angle given Roughness Value [θ]

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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 00.004 seconds)

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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National Institute Of Technology (NIT), Hamirpur

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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.

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