Proportion of Cutting Edge Engagement for Face Milling Calculator

✖Work Engagement is the instantaneous contact geometry between the cutter and the in-process workpiece during machining.ⓘ Work Engagement [a_e]			+10% -10%
✖Diameter of a Cutting Tool in Milling is the outer diameter of the cutting part of the tool.ⓘ Diameter of a Cutting Tool [D_cut]			+10% -10%

✖Time Proportion of Cutting Edge Engagement is the fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece.ⓘ Proportion of Cutting Edge Engagement for Face Milling [Q]

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Proportion of Cutting Edge Engagement for Face Milling Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time Proportion of Cutting Edge Engagement = asin(Work Engagement/Diameter of a Cutting Tool)/pi
Q = asin(a_e/D_cut)/pi
This formula uses 1 Constants, 2 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(Number)

Variables Used

Time Proportion of Cutting Edge Engagement - Time Proportion of Cutting Edge Engagement is the fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece.
Work Engagement - (Measured in Meter) - Work Engagement is the instantaneous contact geometry between the cutter and the in-process workpiece during machining.
Diameter of a Cutting Tool - (Measured in Meter) - Diameter of a Cutting Tool in Milling is the outer diameter of the cutting part of the tool.

STEP 1: Convert Input(s) to Base Unit

Work Engagement: 52 Millimeter --> 0.052 Meter (Check conversion here)
Diameter of a Cutting Tool: 54.67 Millimeter --> 0.05467 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = asin(a_e/D_cut)/pi --> asin(0.052/0.05467)/pi

Evaluating ... ...

Q = 0.400108212411737

STEP 3: Convert Result to Output's Unit

0.400108212411737 --> No Conversion Required

FINAL ANSWER

0.400108212411737 ≈ 0.400108 <-- Time Proportion of Cutting Edge Engagement

(Calculation completed in 00.004 seconds)

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Created by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

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National Institute of Technology (NIT), Srinagar

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< Face and Vertical Milling Calculators

Maximum Chip Thickness in Vertical Milling

LaTeX Go Max Chip Thickness in Vertical Milling = Feed Speed in Milling/(Number of Teeth on Cutting Tool*Rotational Frequency in Milling)

Machining Time for Milling Operation

LaTeX Go Machining Time = (Length of Workpiece+Length of Approach in Vertical Milling)/Feed Speed in Milling

Machining Time for Shaping Operation

LaTeX Go Machining Time = Width of Workpiece/(Feed Rate in Milling*Reciprocating Strokes Frequency)

Minimum Length of Approach required in Face Milling

LaTeX Go Length of Approach in Vertical Milling = Diameter of a Cutting Tool/2

Proportion of Cutting Edge Engagement for Face Milling Formula

LaTeX Go

Time Proportion of Cutting Edge Engagement = asin(Work Engagement/Diameter of a Cutting Tool)/pi
Q = asin(a_e/D_cut)/pi

What causes flank wear?

Flank Wear is most commonly caused due to abrasive wear of the cutting edge against the machined surface. Flank Wear generally occurs when the speed of cutting is very high. It causes many losses but one of the most concerning is the increased roughness of the surface of the final product.

How to Calculate Proportion of Cutting Edge Engagement for Face Milling?

Proportion of Cutting Edge Engagement for Face Milling calculator uses Time Proportion of Cutting Edge Engagement = asin(Work Engagement/Diameter of a Cutting Tool)/pi to calculate the Time Proportion of Cutting Edge Engagement, Proportion of Cutting Edge Engagement for Face Milling is fraction of machining time in which Cutting Edge of Milling Tool is in engagement with workpiece for Face Milling Operation. Time Proportion of Cutting Edge Engagement is denoted by Q symbol.

How to calculate Proportion of Cutting Edge Engagement for Face Milling using this online calculator? To use this online calculator for Proportion of Cutting Edge Engagement for Face Milling, enter Work Engagement (a_e) & Diameter of a Cutting Tool (D_cut) and hit the calculate button. Here is how the Proportion of Cutting Edge Engagement for Face Milling calculation can be explained with given input values -> 0.16321 = asin(0.052/0.05467)/pi.

FAQ

What is Proportion of Cutting Edge Engagement for Face Milling?

Proportion of Cutting Edge Engagement for Face Milling is fraction of machining time in which Cutting Edge of Milling Tool is in engagement with workpiece for Face Milling Operation and is represented as Q = asin(a_e/D_cut)/pi or Time Proportion of Cutting Edge Engagement = asin(Work Engagement/Diameter of a Cutting Tool)/pi. Work Engagement is the instantaneous contact geometry between the cutter and the in-process workpiece during machining & Diameter of a Cutting Tool in Milling is the outer diameter of the cutting part of the tool.

How to calculate Proportion of Cutting Edge Engagement for Face Milling?

Proportion of Cutting Edge Engagement for Face Milling is fraction of machining time in which Cutting Edge of Milling Tool is in engagement with workpiece for Face Milling Operation is calculated using Time Proportion of Cutting Edge Engagement = asin(Work Engagement/Diameter of a Cutting Tool)/pi. To calculate Proportion of Cutting Edge Engagement for Face Milling, you need Work Engagement (a_e) & Diameter of a Cutting Tool (D_cut). With our tool, you need to enter the respective value for Work Engagement & Diameter of a Cutting Tool 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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