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Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece Formula

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The Proportion of Initial Volume or weight is the proportion of initial volume or initial weight to be removed by machining. Check FAQs

V 0 = \frac{t p \cdot ρ \cdot a}{p s \cdot W^{1 - b}}

V₀ - Proportion of Initial Volume?t_p - Machining Time For Maximum Power?ρ - Density of Work Piece?a - Constant For Tool Type(a)?p_s - Specific Cutting Energy in Machining?W - Initial Work Piece Weight?b - Constant For Tool Type(b)?

Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece Example

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Here is how the Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece equation looks like with Values.

Here is how the Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece equation looks like with Units.

Here is how the Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece equation looks like.

0.0001 = \frac{48.925 \cdot 7850 \cdot 2.9}{3000.487 \cdot {12.8}^{1 - 0.53}}

0.0001 = \frac{48.925s \cdot 7850kg/m³ \cdot 2.9}{3000.487MJ/m³ \cdot {12.8kg}^{1 - 0.53}}

0.0001 = \frac{48.925 \cdot 7850 \cdot 2.9}{3000.487 \cdot {12.8}^{1 - 0.53}}

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Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece Solution

Follow our step by step solution on how to calculate Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece?

FIRST Step Consider the formula

V 0 = \frac{t p \cdot ρ \cdot a}{p s \cdot W^{1 - b}}

Next Step Substitute values of Variables

∴

V 0 = \frac{48.925s \cdot 7850kg/m³ \cdot 2.9}{3000.487MJ/m³ \cdot {12.8kg}^{1 - 0.53}}

Next Step Convert Units

∴

V 0 = \frac{48.925s \cdot 7850kg/m³ \cdot 2.9}{3E+9J/m³ \cdot {12.8kg}^{1 - 0.53}}

Next Step Prepare to Evaluate

∴

V 0 = \frac{48.925 \cdot 7850 \cdot 2.9}{3E+9 \cdot {12.8}^{1 - 0.53}}

Next Step Evaluate

∴

V 0 = 0.000112

LAST Step Rounding Answer

∴

V 0 = 0.0001

Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece Formula Elements

Variables

Proportion of Initial Volume

The Proportion of Initial Volume or weight is the proportion of initial volume or initial weight to be removed by machining.

Symbol: V₀

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Proportion of Initial Volume

Machining Time For Maximum Power

Machining Time For Maximum Power is the time for processing when the workpiece is machined under maximum power conditions.

Symbol: t_p

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Machining Time For Maximum Power

Density of Work Piece

The Density of Work Piece is the mass per unit volume ratio of the material of workpiece.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Work Piece

Constant For Tool Type(a)

Constant For Tool Type(a) is defined as the constant for the type of material used in the tool.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant For Tool Type(a)

Specific Cutting Energy in Machining

Specific Cutting Energy in Machining is the energy consumed to remove a unit volume of material, which is calculated as the ratio of cutting energy e to material removal volume v.

Symbol: p_s

Measurement: Energy DensityUnit: MJ/m³

Note: Value should be greater than 0.

Formulas to find Specific Cutting Energy in Machining

Initial Work Piece Weight

Initial Work Piece Weight is defined as the weight of the work piece before undergoing machining operation.

Symbol: W

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Initial Work Piece Weight

Constant For Tool Type(b)

Constant For Tool Type(b) is defined as the constant for the type of material used in the tool.

Symbol: b

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant For Tool Type(b)

Other formulas in Initial Weight of Workpiece category

Go Surface area of Workpiece given Surface Generation rate

A m = (t s \cdot R sg)

Go Length of Workpiece given Machining time for maximum power

L = \frac{t p \cdot P m}{p s \cdot π \cdot d w \cdot d cut}

How to Evaluate Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece?

Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece evaluator uses Proportion of Initial Volume = (Machining Time For Maximum Power*Density of Work Piece*Constant For Tool Type(a))/(Specific Cutting Energy in Machining*Initial Work Piece Weight^(1-Constant For Tool Type(b))) to evaluate the Proportion of Initial Volume, The Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece formula is used to find the the proportion of the initial volume to be removed by machining. Proportion of Initial Volume is denoted by V₀ symbol.

How to evaluate Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece using this online evaluator? To use this online evaluator for Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece, enter Machining Time For Maximum Power (t_p), Density of Work Piece (ρ), Constant For Tool Type(a) (a), Specific Cutting Energy in Machining (p_s), Initial Work Piece Weight (W) & Constant For Tool Type(b) (b) and hit the calculate button.

FAQs on Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece

What is the formula to find Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece?

The formula of Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece is expressed as Proportion of Initial Volume = (Machining Time For Maximum Power*Density of Work Piece*Constant For Tool Type(a))/(Specific Cutting Energy in Machining*Initial Work Piece Weight^(1-Constant For Tool Type(b))). Here is an example- 0.000112 = (48.925*7850*2.9)/(3000487000*12.79999^(1-0.529999827884223)).

How to calculate Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece?

With Machining Time For Maximum Power (t_p), Density of Work Piece (ρ), Constant For Tool Type(a) (a), Specific Cutting Energy in Machining (p_s), Initial Work Piece Weight (W) & Constant For Tool Type(b) (b) we can find Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece using the formula - Proportion of Initial Volume = (Machining Time For Maximum Power*Density of Work Piece*Constant For Tool Type(a))/(Specific Cutting Energy in Machining*Initial Work Piece Weight^(1-Constant For Tool Type(b))).

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Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece Formula

Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece Example

Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece Solution

Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece Formula Elements

Other formulas in Initial Weight of Workpiece category

How to Evaluate Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece?

FAQs on Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece

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