Density of Workpiece given Initial weight of workpiece Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
ρ = (V0*ps*W^(1-b))/(tp*a)
This formula uses 7 Variables
Variables Used
Density of Work Piece - (Measured in Kilogram per Cubic Meter) - The Density of Work Piece is the mass per unit volume ratio of the material of workpiece.
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.
Specific Cutting Energy in Machining - (Measured in Joule per Cubic Meter) - 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.
Initial Work Piece Weight - (Measured in Kilogram) - Initial Work Piece Weight is defined as the weight of the work piece before undergoing machining operation.
Constant For Tool Type(b) - Constant For Tool Type(b) is defined as the constant for the type of material used in the tool.
Machining Time For Maximum Power - (Measured in Second) - Machining Time For Maximum Power is the time for processing when the workpiece is machined under maximum power conditions.
Constant For Tool Type(a) - Constant For Tool Type(a) is defined as the constant for the type of material used in the tool.
STEP 1: Convert Input(s) to Base Unit
Proportion of Initial Volume: 0.000112 --> No Conversion Required
Specific Cutting Energy in Machining: 3000.487 Megajoule per Cubic Meter --> 3000487000 Joule per Cubic Meter (Check conversion ​here)
Initial Work Piece Weight: 12.79999 Kilogram --> 12.79999 Kilogram No Conversion Required
Constant For Tool Type(b): 0.529999827884223 --> No Conversion Required
Machining Time For Maximum Power: 48.925 Second --> 48.925 Second No Conversion Required
Constant For Tool Type(a): 2.9 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ρ = (V0*ps*W^(1-b))/(tp*a) --> (0.000112*3000487000*12.79999^(1-0.529999827884223))/(48.925*2.9)
Evaluating ... ...
ρ = 7850
STEP 3: Convert Result to Output's Unit
7850 Kilogram per Cubic Meter --> No Conversion Required
FINAL ANSWER
7850 Kilogram per Cubic Meter <-- Density of Work Piece
(Calculation completed in 00.020 seconds)

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Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
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University Institute of Technology RGPV (UIT - RGPV), Bhopal
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Density of Workpiece given Initial weight of workpiece Formula

​LaTeX ​Go
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))
ρ = (V0*ps*W^(1-b))/(tp*a)

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

Density of Workpiece given Initial weight of workpiece calculator 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 calculate 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 calculate Density of Workpiece given Initial weight of workpiece using this online calculator? To use this online calculator for Density of Workpiece given Initial weight of workpiece, enter Proportion of Initial Volume (V0), Specific Cutting Energy in Machining (ps), Initial Work Piece Weight (W), Constant For Tool Type(b) (b), Machining Time For Maximum Power (tp) & Constant For Tool Type(a) (a) and hit the calculate button. Here is how the Density of Workpiece given Initial weight of workpiece calculation can be explained with given input values -> 7850.017 = (0.000112*3000487000*12.79999^(1-0.529999827884223))/(48.925*2.9).

FAQ

What is Density of Workpiece given Initial weight of workpiece?
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 and is represented as ρ = (V0*ps*W^(1-b))/(tp*a) or 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)). The Proportion of Initial Volume or weight is the proportion of initial volume or initial weight to be removed by 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, Initial Work Piece Weight is defined as the weight of the work piece before undergoing machining operation, Constant For Tool Type(b) is defined as the constant for the type of material used in the tool, Machining Time For Maximum Power is the time for processing when the workpiece is machined under maximum power conditions & Constant For Tool Type(a) is defined as the constant for the type of material used in the tool.
How to calculate Density of Workpiece given Initial weight of workpiece?
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 is calculated using 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 calculate Density of Workpiece given Initial weight of workpiece, you need Proportion of Initial Volume (V0), Specific Cutting Energy in Machining (ps), Initial Work Piece Weight (W), Constant For Tool Type(b) (b), Machining Time For Maximum Power (tp) & Constant For Tool Type(a) (a). With our tool, you need to enter the respective value for Proportion of Initial Volume, Specific Cutting Energy in Machining, Initial Work Piece Weight, Constant For Tool Type(b), Machining Time For Maximum Power & Constant For Tool Type(a) and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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