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Density of Workpiece given Initial weight of workpiece Formula

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

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

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

Density of Workpiece given Initial weight of workpiece Example

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Here is how the Density of Workpiece given Initial weight of workpiece equation looks like with Values.

Here is how the Density of Workpiece given Initial weight of workpiece equation looks like with Units.

Here is how the Density of Workpiece given Initial weight of workpiece equation looks like.

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

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

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

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Density of Workpiece given Initial weight of workpiece Solution

Follow our step by step solution on how to calculate Density of Workpiece given Initial weight of workpiece?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

ρ = \frac{0.0001 \cdot 3E+9J/m³ \cdot {12.8kg}^{1 - 0.53}}{48.925s \cdot 2.9}

Next Step Prepare to Evaluate

∴

ρ = \frac{0.0001 \cdot 3E+9 \cdot {12.8}^{1 - 0.53}}{48.925 \cdot 2.9}

LAST Step Evaluate

∴

ρ = 7850kg/m³

Density of Workpiece given Initial weight of workpiece Formula Elements

Variables

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

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

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)

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

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)

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 Density of Workpiece given Initial weight of workpiece?

Density of Workpiece given Initial weight of workpiece evaluator uses Density of Work Piece = (Proportion of Initial Volume*Specific Cutting Energy in Machining*Initial Work Piece Weight^(1-Constant For Tool Type(b)))/(Machining Time For Maximum Power*Constant For Tool Type(a)) to evaluate the Density of Work Piece, Density of Workpiece given Initial weight of workpiece that can be useful in various engineering and manufacturing applications, such as determining material requirements, assessing structural integrity, or calculating buoyancy forces. Density of Work Piece is denoted by ρ symbol.

How to evaluate Density of Workpiece given Initial weight of workpiece using this online evaluator? To use this online evaluator for Density of Workpiece given Initial weight of workpiece, enter Proportion of Initial Volume (V₀), Specific Cutting Energy in Machining (p_s), Initial Work Piece Weight (W), Constant For Tool Type(b) (b), Machining Time For Maximum Power (t_p) & Constant For Tool Type(a) (a) and hit the calculate button.

FAQs on Density of Workpiece given Initial weight of workpiece

What is the formula to find Density of Workpiece given Initial weight of workpiece?

The formula of Density of Workpiece given Initial weight of workpiece is expressed as Density of Work Piece = (Proportion of Initial Volume*Specific Cutting Energy in Machining*Initial Work Piece Weight^(1-Constant For Tool Type(b)))/(Machining Time For Maximum Power*Constant For Tool Type(a)). Here is an example- 7850.017 = (0.000112*3000487000*12.79999^(1-0.529999827884223))/(48.925*2.9).

How to calculate Density of Workpiece given Initial weight of workpiece?

With Proportion of Initial Volume (V₀), Specific Cutting Energy in Machining (p_s), Initial Work Piece Weight (W), Constant For Tool Type(b) (b), Machining Time For Maximum Power (t_p) & Constant For Tool Type(a) (a) we can find Density of Workpiece given Initial weight of workpiece using the formula - Density of Work Piece = (Proportion of Initial Volume*Specific Cutting Energy in Machining*Initial Work Piece Weight^(1-Constant For Tool Type(b)))/(Machining Time For Maximum Power*Constant For Tool Type(a)).

Can the Density of Workpiece given Initial weight of workpiece be negative?

No, the Density of Workpiece given Initial weight of workpiece, measured in Density cannot be negative.

Which unit is used to measure Density of Workpiece given Initial weight of workpiece?

Density of Workpiece given Initial weight of workpiece is usually measured using the Kilogram per Cubic Meter[kg/m³] for Density. Kilogram per Cubic Centimeter[kg/m³], Gram per Cubic Meter[kg/m³], Gram per Cubic Centimeter[kg/m³] are the few other units in which Density of Workpiece given Initial weight of workpiece can be measured.

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Density of Workpiece given Initial weight of workpiece Formula

Density of Workpiece given Initial weight of workpiece Example

Density of Workpiece given Initial weight of workpiece Solution

Density of Workpiece given Initial weight of workpiece Formula Elements

Other formulas in Initial Weight of Workpiece category

How to Evaluate Density of Workpiece given Initial weight of workpiece?

FAQs on Density of Workpiece given Initial weight of workpiece

Variable Name