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Work Engagement given Proportion of Edge Engagement for Slab and Side Milling Formula

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

a e = (\sin ((Q - 0.25) \cdot 2 \cdot π) + 1) \cdot \frac{D cut}{2}

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

Work Engagement given Proportion of Edge Engagement for Slab and Side Milling Example

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Here is how the Work Engagement given Proportion of Edge Engagement for Slab and Side Milling equation looks like with Values.

Here is how the Work Engagement given Proportion of Edge Engagement for Slab and Side Milling equation looks like with Units.

Here is how the Work Engagement given Proportion of Edge Engagement for Slab and Side Milling equation looks like.

49.4495 = (\sin ((0.4 - 0.25) \cdot 2 \cdot 3.1416) + 1) \cdot \frac{54.67}{2}

49.4495mm = (\sin ((0.4 - 0.25) \cdot 2 \cdot 3.1416) + 1) \cdot \frac{54.67mm}{2}

49.4495 = (\sin ((0.4 - 0.25) \cdot 2 \cdot 3.1416) + 1) \cdot \frac{54.67}{2}

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Work Engagement given Proportion of Edge Engagement for Slab and Side Milling Solution

Follow our step by step solution on how to calculate Work Engagement given Proportion of Edge Engagement for Slab and Side Milling?

FIRST Step Consider the formula

a e = (\sin ((Q - 0.25) \cdot 2 \cdot π) + 1) \cdot \frac{D cut}{2}

Next Step Substitute values of Variables

∴

a e = (\sin ((0.4 - 0.25) \cdot 2 \cdot π) + 1) \cdot \frac{54.67mm}{2}

Next Step Substitute values of Constants

∴

a e = (\sin ((0.4 - 0.25) \cdot 2 \cdot 3.1416) + 1) \cdot \frac{54.67mm}{2}

Next Step Convert Units

∴

a e = (\sin ((0.4 - 0.25) \cdot 2 \cdot 3.1416) + 1) \cdot \frac{0.0547m}{2}

Next Step Prepare to Evaluate

∴

a e = (\sin ((0.4 - 0.25) \cdot 2 \cdot 3.1416) + 1) \cdot \frac{0.0547}{2}

Next Step Evaluate

∴

a e = 0.0494494795412392m

Next Step Convert to Output's Unit

∴

a e = 49.4494795412392mm

LAST Step Rounding Answer

∴

a e = 49.4495mm

Work Engagement given Proportion of Edge Engagement for Slab and Side Milling Formula Elements

Variables

Constants

Functions

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

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

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)

How to Evaluate Work Engagement given Proportion of Edge Engagement for Slab and Side Milling?

Work Engagement given Proportion of Edge Engagement for Slab and Side Milling evaluator uses Work Engagement = (sin((Time Proportion of Cutting Edge Engagement-0.25)*2*pi)+1)*Diameter of a Cutting Tool/2 to evaluate the Work Engagement, The Work Engagement given Proportion of Edge Engagement for Slab and Side Milling is a method to determine the maximum contact geometry between the cutter and the in-process workpiece during Slab and Side Milling Operation. Work Engagement is denoted by a_e symbol.

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

FAQs on Work Engagement given Proportion of Edge Engagement for Slab and Side Milling

What is the formula to find Work Engagement given Proportion of Edge Engagement for Slab and Side Milling?

The formula of Work Engagement given Proportion of Edge Engagement for Slab and Side Milling is expressed as Work Engagement = (sin((Time Proportion of Cutting Edge Engagement-0.25)*2*pi)+1)*Diameter of a Cutting Tool/2. Here is an example- 49449.48 = (sin((0.4-0.25)*2*pi)+1)*0.05467/2.

How to calculate Work Engagement given Proportion of Edge Engagement for Slab and Side Milling?

With Time Proportion of Cutting Edge Engagement (Q) & Diameter of a Cutting Tool (D_cut) we can find Work Engagement given Proportion of Edge Engagement for Slab and Side Milling using the formula - Work Engagement = (sin((Time Proportion of Cutting Edge Engagement-0.25)*2*pi)+1)*Diameter of a Cutting Tool/2. This formula also uses Archimedes' constant and Sine (sin) function(s).

Can the Work Engagement given Proportion of Edge Engagement for Slab and Side Milling be negative?

No, the Work Engagement given Proportion of Edge Engagement for Slab and Side Milling, measured in Length cannot be negative.

Which unit is used to measure Work Engagement given Proportion of Edge Engagement for Slab and Side Milling?

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

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Work Engagement given Proportion of Edge Engagement for Slab and Side Milling Formula

Work Engagement given Proportion of Edge Engagement for Slab and Side Milling Example

Work Engagement given Proportion of Edge Engagement for Slab and Side Milling Solution

Work Engagement given Proportion of Edge Engagement for Slab and Side Milling Formula Elements

Other formulas in Slab and Slide Milling category

How to Evaluate Work Engagement given Proportion of Edge Engagement for Slab and Side Milling?

FAQs on Work Engagement given Proportion of Edge Engagement for Slab and Side Milling

Variable Name