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Initial weight of workpiece given Machining time for maximum power Formula

GoInitial weight of workpiece given Power available for Machining Formula

GoInitial weight of workpiece given Loading and Unloading time Formula

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

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

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

Initial weight of workpiece given Machining time for maximum power Example

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Here is how the Initial weight of workpiece given Machining time for maximum power equation looks like with Values.

Here is how the Initial weight of workpiece given Machining time for maximum power equation looks like with Units.

Here is how the Initial weight of workpiece given Machining time for maximum power equation looks like.

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

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

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

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Initial weight of workpiece given Machining time for maximum power Solution

Follow our step by step solution on how to calculate Initial weight of workpiece given Machining time for maximum power?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

W = {(\frac{7850kg/m³ \cdot 2.9 \cdot 48.925s}{0.0001 \cdot 3E+9J/m³})}^{\frac{1}{1 - 0.53}}

Next Step Prepare to Evaluate

∴

W = {(\frac{7850 \cdot 2.9 \cdot 48.925}{0.0001 \cdot 3E+9})}^{\frac{1}{1 - 0.53}}

Next Step Evaluate

∴

W = 12.79999kg

LAST Step Rounding Answer

∴

W = 12.8kg

Initial weight of workpiece given Machining time for maximum power Formula Elements

Variables

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.

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.

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.

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.

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.

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.

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.

Credits

Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has created this Formula and 300+ more formulas!

Verified by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

Rajat Vishwakarma has verified this Formula and 400+ more formulas!

Other Formulas to find Initial Work Piece Weight

Go Initial weight of workpiece given Power available for Machining

W = {(\frac{P m}{a})}^{\frac{1}{b}}

Go Initial weight of workpiece given Loading and Unloading time

W = \frac{t ln - c}{d}

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 Initial weight of workpiece given Machining time for maximum power?

Initial weight of workpiece given Machining time for maximum power evaluator uses Initial Work Piece Weight = ((Density of Work Piece*Constant For Tool Type(a)*Machining Time For Maximum Power)/(Proportion of Initial Volume*Specific Cutting Energy in Machining))^(1/(1-Constant For Tool Type(b))) to evaluate the Initial Work Piece Weight, The Initial weight of workpiece given Machining time for maximum power is defined as the weight of the workpiece before undergoing machining operation. Initial Work Piece Weight is denoted by W symbol.

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

FAQs on Initial weight of workpiece given Machining time for maximum power

What is the formula to find Initial weight of workpiece given Machining time for maximum power?

The formula of Initial weight of workpiece given Machining time for maximum power is expressed as Initial Work Piece Weight = ((Density of Work Piece*Constant For Tool Type(a)*Machining Time For Maximum Power)/(Proportion of Initial Volume*Specific Cutting Energy in Machining))^(1/(1-Constant For Tool Type(b))). Here is an example- 12.79993 = ((7850*2.9*48.925)/(0.000112*3000487000))^(1/(1-0.529999827884223)).

How to calculate Initial weight of workpiece given Machining time for maximum power?

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

What are the other ways to Calculate Initial Work Piece Weight?

Here are the different ways to Calculate Initial Work Piece Weight-

Initial Work Piece Weight=(Power Available For Machining/Constant For Tool Type(a))^(1/Constant For Tool Type(b))
Initial Work Piece Weight=(Loading And Unloading Time-Constant For Tool Type(c))/Constant For Tool Type(d)
Initial Work Piece Weight=((Total Rate of Machining and Operator-(Factor to Allow For Operator*Direct Labor Rate))*(2*Amortized Years*Number of Shifts)/(Constant For Tool Type(e)*Factor to Allow For Machining))^(1/Constant For Tool Type(f))

Can the Initial weight of workpiece given Machining time for maximum power be negative?

No, the Initial weight of workpiece given Machining time for maximum power, measured in Weight cannot be negative.

Which unit is used to measure Initial weight of workpiece given Machining time for maximum power?

Initial weight of workpiece given Machining time for maximum power is usually measured using the Kilogram[kg] for Weight. Gram[kg], Milligram[kg], Ton (Metric)[kg] are the few other units in which Initial weight of workpiece given Machining time for maximum power can be measured.

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Initial weight of workpiece given Machining time for maximum power Formula

​GoInitial weight of workpiece given Power available for Machining Formula

​GoInitial weight of workpiece given Loading and Unloading time Formula

Initial weight of workpiece given Machining time for maximum power Example

Initial weight of workpiece given Machining time for maximum power Solution

Initial weight of workpiece given Machining time for maximum power Formula Elements

Credits

Other Formulas to find Initial Work Piece Weight

Other formulas in Initial Weight of Workpiece category

How to Evaluate Initial weight of workpiece given Machining time for maximum power?

FAQs on Initial weight of workpiece given Machining time for maximum power

Variable Name

GoInitial weight of workpiece given Power available for Machining Formula

GoInitial weight of workpiece given Loading and Unloading time Formula