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

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Diameter of a Cutting Tool in Milling is the outer diameter of the cutting part of the tool. Check FAQs

D cut = \frac{a e}{\sin (Q \cdot π)}

D_cut - Diameter of a Cutting Tool?a_e - Work Engagement?Q - Time Proportion of Cutting Edge Engagement?π - Archimedes' constant?

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

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Here is how the Diameter of Tool given Proportion of Edge Engagement for Face Milling equation looks like with Values.

Here is how the Diameter of Tool given Proportion of Edge Engagement for Face Milling equation looks like with Units.

Here is how the Diameter of Tool given Proportion of Edge Engagement for Face Milling equation looks like.

54.676 = \frac{52}{\sin (0.4 \cdot 3.1416)}

54.676mm = \frac{52mm}{\sin (0.4 \cdot 3.1416)}

54.676 = \frac{52}{\sin (0.4 \cdot 3.1416)}

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

Follow our step by step solution on how to calculate Diameter of Tool given Proportion of Edge Engagement for Face Milling?

FIRST Step Consider the formula

D cut = \frac{a e}{\sin (Q \cdot π)}

Next Step Substitute values of Variables

∴

D cut = \frac{52mm}{\sin (0.4 \cdot π)}

Next Step Substitute values of Constants

∴

D cut = \frac{52mm}{\sin (0.4 \cdot 3.1416)}

Next Step Convert Units

∴

D cut = \frac{0.052m}{\sin (0.4 \cdot 3.1416)}

Next Step Prepare to Evaluate

∴

D cut = \frac{0.052}{\sin (0.4 \cdot 3.1416)}

Next Step Evaluate

∴

D cut = 0.0546760356603899m

Next Step Convert to Output's Unit

∴

D cut = 54.6760356603899mm

LAST Step Rounding Answer

∴

D cut = 54.676mm

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

Variables

Constants

Functions

Diameter of a Cutting Tool

Diameter of a Cutting Tool in Milling is the outer diameter of the cutting part of the tool.

Symbol: D_cut

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of a Cutting Tool

Work Engagement

Work Engagement is the instantaneous contact geometry between the cutter and the in-process workpiece during machining.

Symbol: a_e

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Work Engagement

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.

Symbol: Q

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Time Proportion of Cutting Edge Engagement

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sin(Angle)

Other formulas in Face and Vertical Milling category

Go Machining Time for Shaping Operation

t m = \frac{b w}{f r \cdot n rs}

Go Minimum Length of Approach required in Face Milling

L v = \frac{D cut}{2}

Go Machining Time for Milling Operation

t m = \frac{L + L v}{V fm}

Go Maximum Chip Thickness in Vertical Milling

C v = \frac{V fm}{N t \cdot v rot}

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

Diameter of Tool given Proportion of Edge Engagement for Face Milling evaluator uses Diameter of a Cutting Tool = Work Engagement/sin(Time Proportion of Cutting Edge Engagement*pi) to evaluate 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 D_cut symbol.

How to evaluate Diameter of Tool given Proportion of Edge Engagement for Face Milling using this online evaluator? To use this online evaluator for Diameter of Tool given Proportion of Edge Engagement for Face Milling, enter Work Engagement (a_e) & Time Proportion of Cutting Edge Engagement (Q) and hit the calculate button.

FAQs on Diameter of Tool given Proportion of Edge Engagement for Face Milling

What is the formula to find Diameter of Tool given Proportion of Edge Engagement for Face Milling?

The formula of Diameter of Tool given Proportion of Edge Engagement for Face Milling is expressed as Diameter of a Cutting Tool = Work Engagement/sin(Time Proportion of Cutting Edge Engagement*pi). Here is an example- 54676.04 = 0.052/sin(0.4*pi).

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

With Work Engagement (a_e) & Time Proportion of Cutting Edge Engagement (Q) we can find Diameter of Tool given Proportion of Edge Engagement for Face Milling using the formula - Diameter of a Cutting Tool = Work Engagement/sin(Time Proportion of Cutting Edge Engagement*pi). This formula also uses Archimedes' constant and Sine (sin) function(s).

Can the Diameter of Tool given Proportion of Edge Engagement for Face Milling be negative?

No, the Diameter of Tool given Proportion of Edge Engagement for Face Milling, measured in Length cannot be negative.

Which unit is used to measure Diameter of Tool given Proportion of Edge Engagement for Face Milling?

Diameter of Tool given Proportion of Edge Engagement for Face Milling is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of Tool given Proportion of Edge Engagement for Face Milling can be measured.

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

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

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

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

Other formulas in Face and Vertical Milling category

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

FAQs on Diameter of Tool given Proportion of Edge Engagement for Face Milling

Variable Name