Proportion of Cutting Edge Engagement for Slab and Side Milling Solution

STEP 0: Pre-Calculation Summary
Formula Used
Time Proportion of Cutting Edge Engagement = 0.25+(asin((2*Work Engagement/Diameter of a Cutting Tool)-1)/(2*pi))
Q = 0.25+(asin((2*ae/Dt)-1)/(2*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) - The Diameter of a Cutting Tool is the outer diameter of the cutting part of the tool.
STEP 1: Convert Input(s) to Base Unit
Work Engagement: 50 Millimeter --> 0.05 Meter (Check conversion here)
Diameter of a Cutting Tool: 52 Millimeter --> 0.052 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = 0.25+(asin((2*ae/Dt)-1)/(2*pi)) --> 0.25+(asin((2*0.05/0.052)-1)/(2*pi))
Evaluating ... ...
Q = 0.437167041810999
STEP 3: Convert Result to Output's Unit
0.437167041810999 --> No Conversion Required
FINAL ANSWER
0.437167041810999 0.437167 <-- Time Proportion of Cutting Edge Engagement
(Calculation completed in 00.004 seconds)

Credits

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

Proportion of Cutting Edge Engagement for Slab and Side Milling
Go Time Proportion of Cutting Edge Engagement = 0.25+(asin((2*Work Engagement/Diameter of a Cutting Tool)-1)/(2*pi))
Diameter of Tool given Proportion of Edge Engagement for Slab and Side Milling
Go Diameter of a Cutting Tool = 2*Work Engagement/(sin((Time Proportion of Cutting Edge Engagement-0.25)*2*pi)+1)
Work Engagement given Proportion of Edge Engagement for Slab and Side Milling
Go Work Engagement = (sin((Time Proportion of Cutting Edge Engagement-0.25)*2*pi)+1)*Diameter of a Cutting Tool/2
Proportion of Cutting Edge Engagement for Face Milling
Go Time Proportion of Cutting Edge Engagement = asin(Work Engagement/Diameter of a Cutting Tool)/pi
Diameter of Tool given Proportion of Edge Engagement for Face Milling
Go Diameter of a Cutting Tool = Work Engagement/sin(Time Proportion of Cutting Edge Engagement*pi)
Work Engagement given Proportion of Edge Engagement for Face Milling
Go Work Engagement = sin(Time Proportion of Cutting Edge Engagement*pi)*Diameter of a Cutting Tool

Proportion of Cutting Edge Engagement for Slab and Side Milling Formula

Time Proportion of Cutting Edge Engagement = 0.25+(asin((2*Work Engagement/Diameter of a Cutting Tool)-1)/(2*pi))
Q = 0.25+(asin((2*ae/Dt)-1)/(2*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 Slab and Side Milling?

Proportion of Cutting Edge Engagement for Slab and Side Milling calculator uses Time Proportion of Cutting Edge Engagement = 0.25+(asin((2*Work Engagement/Diameter of a Cutting Tool)-1)/(2*pi)) to calculate the Time Proportion of Cutting Edge Engagement, Proportion of Cutting Edge Engagement for Slab and Side Milling is fraction of machining time in which Cutting Edge of Milling Tool is in engagement with workpiece for Slab and Side Milling Operation. Time Proportion of Cutting Edge Engagement is denoted by Q symbol.

How to calculate Proportion of Cutting Edge Engagement for Slab and Side Milling using this online calculator? To use this online calculator for Proportion of Cutting Edge Engagement for Slab and Side Milling, enter Work Engagement (ae) & Diameter of a Cutting Tool (Dt) and hit the calculate button. Here is how the Proportion of Cutting Edge Engagement for Slab and Side Milling calculation can be explained with given input values -> 0.437167 = 0.25+(asin((2*0.05/0.052)-1)/(2*pi)).

FAQ

What is Proportion of Cutting Edge Engagement for Slab and Side Milling?
Proportion of Cutting Edge Engagement for Slab and Side Milling is fraction of machining time in which Cutting Edge of Milling Tool is in engagement with workpiece for Slab and Side Milling Operation and is represented as Q = 0.25+(asin((2*ae/Dt)-1)/(2*pi)) or Time Proportion of Cutting Edge Engagement = 0.25+(asin((2*Work Engagement/Diameter of a Cutting Tool)-1)/(2*pi)). Work Engagement is the instantaneous contact geometry between the cutter and the in-process workpiece during machining & The Diameter of a Cutting Tool is the outer diameter of the cutting part of the tool.
How to calculate Proportion of Cutting Edge Engagement for Slab and Side Milling?
Proportion of Cutting Edge Engagement for Slab and Side Milling is fraction of machining time in which Cutting Edge of Milling Tool is in engagement with workpiece for Slab and Side Milling Operation is calculated using Time Proportion of Cutting Edge Engagement = 0.25+(asin((2*Work Engagement/Diameter of a Cutting Tool)-1)/(2*pi)). To calculate Proportion of Cutting Edge Engagement for Slab and Side Milling, you need Work Engagement (ae) & Diameter of a Cutting Tool (Dt). 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.
How many ways are there to calculate Time Proportion of Cutting Edge Engagement?
In this formula, Time Proportion of Cutting Edge Engagement uses Work Engagement & Diameter of a Cutting Tool. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Time Proportion of Cutting Edge Engagement = asin(Work Engagement/Diameter of a Cutting Tool)/pi
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