Diameter of Tool given Proportion of Edge Engagement for Face Milling Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of a Cutting Tool = Work Engagement/sin(Time Proportion of Cutting Edge Engagement*pi)
Dt = ae/sin(Q*pi)
This formula uses 1 Constants, 1 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)
Variables Used
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.
Work Engagement - (Measured in Meter) - Work Engagement is the instantaneous contact geometry between the cutter and the in-process workpiece during machining.
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.
STEP 1: Convert Input(s) to Base Unit
Work Engagement: 50 Millimeter --> 0.05 Meter (Check conversion here)
Time Proportion of Cutting Edge Engagement: 0.4 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Dt = ae/sin(Q*pi) --> 0.05/sin(0.4*pi)
Evaluating ... ...
Dt = 0.0525731112119134
STEP 3: Convert Result to Output's Unit
0.0525731112119134 Meter -->52.5731112119134 Millimeter (Check conversion here)
FINAL ANSWER
52.5731112119134 52.57311 Millimeter <-- Diameter of a Cutting Tool
(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

Diameter of Tool given Proportion of Edge Engagement for Face Milling Formula

Diameter of a Cutting Tool = Work Engagement/sin(Time Proportion of Cutting Edge Engagement*pi)
Dt = ae/sin(Q*pi)

Ideal Capacity of a Machine Tool

The desired characteristics of a Machine Toole are:
1. Powerful and high Strength
2. Rigid and Stable
3. Tools allows much higher Cutting Velocity, if required and permissible
4. Low wear

How to Calculate Diameter of Tool given Proportion of Edge Engagement for Face Milling?

Diameter of Tool given Proportion of Edge Engagement for Face Milling calculator uses Diameter of a Cutting Tool = Work Engagement/sin(Time Proportion of Cutting Edge Engagement*pi) to calculate the Diameter of a Cutting Tool, Diameter of Tool given Proportion of Edge Engagement for Face Milling is a method to determine the Diameter of the Cutting Tool to be used in a Face Milling Operation when there is a limit on the Fraction of Cutting Edge Engagement Time. Diameter of a Cutting Tool is denoted by Dt symbol.

How to calculate Diameter of Tool given Proportion of Edge Engagement for Face Milling using this online calculator? To use this online calculator for Diameter of Tool given Proportion of Edge Engagement for Face Milling, enter Work Engagement (ae) & Time Proportion of Cutting Edge Engagement (Q) and hit the calculate button. Here is how the Diameter of Tool given Proportion of Edge Engagement for Face Milling calculation can be explained with given input values -> 52573.11 = 0.05/sin(0.4*pi).

FAQ

What is Diameter of Tool given Proportion of Edge Engagement for Face Milling?
Diameter of Tool given Proportion of Edge Engagement for Face Milling is a method to determine the Diameter of the Cutting Tool to be used in a Face Milling Operation when there is a limit on the Fraction of Cutting Edge Engagement Time and is represented as Dt = ae/sin(Q*pi) or Diameter of a Cutting Tool = Work Engagement/sin(Time Proportion of Cutting Edge Engagement*pi). Work Engagement is the instantaneous contact geometry between the cutter and the in-process workpiece during machining & 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.
How to calculate Diameter of Tool given Proportion of Edge Engagement for Face Milling?
Diameter of Tool given Proportion of Edge Engagement for Face Milling is a method to determine the Diameter of the Cutting Tool to be used in a Face Milling Operation when there is a limit on the Fraction of Cutting Edge Engagement Time is calculated using Diameter of a Cutting Tool = Work Engagement/sin(Time Proportion of Cutting Edge Engagement*pi). To calculate Diameter of Tool given Proportion of Edge Engagement for Face Milling, you need Work Engagement (ae) & Time Proportion of Cutting Edge Engagement (Q). With our tool, you need to enter the respective value for Work Engagement & Time Proportion of Cutting Edge Engagement 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 Diameter of a Cutting Tool?
In this formula, Diameter of a Cutting Tool uses Work Engagement & Time Proportion of Cutting Edge Engagement. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Diameter of a Cutting Tool = 2*Work Engagement/(sin((Time Proportion of Cutting Edge Engagement-0.25)*2*pi)+1)
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