Initial weight of workpiece given Machining time for maximum power Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
W = ((ρ*a*tp)/(V0*ps))^(1/(1-b))
This formula uses 7 Variables
Variables Used
Initial Work Piece Weight - (Measured in Kilogram) - Initial Work Piece Weight is defined as the weight of the work piece before undergoing machining operation.
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.
Constant For Tool Type(a) - Constant For Tool Type(a) 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.
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.
Constant For Tool Type(b) - Constant For Tool Type(b) is defined as the constant for the type of material used in the tool.
STEP 1: Convert Input(s) to Base Unit
Density of Work Piece: 7850 Kilogram per Cubic Meter --> 7850 Kilogram per Cubic Meter No Conversion Required
Constant For Tool Type(a): 2.9 --> No Conversion Required
Machining Time For Maximum Power: 48.925 Second --> 48.925 Second No Conversion Required
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)
Constant For Tool Type(b): 0.529999827884223 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
W = ((ρ*a*tp)/(V0*ps))^(1/(1-b)) --> ((7850*2.9*48.925)/(0.000112*3000487000))^(1/(1-0.529999827884223))
Evaluating ... ...
W = 12.79999
STEP 3: Convert Result to Output's Unit
12.79999 Kilogram --> No Conversion Required
FINAL ANSWER
12.79999 Kilogram <-- Initial Work Piece Weight
(Calculation completed in 00.021 seconds)

Credits

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Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
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Verified by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
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Initial weight of workpiece given Machining time for maximum power Formula

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

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

Initial weight of workpiece given Machining time for maximum power calculator 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 calculate 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 calculate Initial weight of workpiece given Machining time for maximum power using this online calculator? To use this online calculator 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 (tp), Proportion of Initial Volume (V0), Specific Cutting Energy in Machining (ps) & Constant For Tool Type(b) (b) and hit the calculate button. Here is how the Initial weight of workpiece given Machining time for maximum power calculation can be explained with given input values -> 12.79993 = ((7850*2.9*48.925)/(0.000112*3000487000))^(1/(1-0.529999827884223)).

FAQ

What is Initial weight of workpiece given Machining time for maximum power?
The Initial weight of workpiece given Machining time for maximum power is defined as the weight of the workpiece before undergoing machining operation and is represented as W = ((ρ*a*tp)/(V0*ps))^(1/(1-b)) or 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))). The Density of Work Piece is the mass per unit volume ratio of the material of workpiece, Constant For Tool Type(a) 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, 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 & Constant For Tool Type(b) is defined as the constant for the type of material used in the tool.
How to calculate Initial weight of workpiece given Machining time for maximum power?
The Initial weight of workpiece given Machining time for maximum power is defined as the weight of the workpiece before undergoing machining operation is calculated using 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 calculate Initial weight of workpiece given Machining time for maximum power, you need Density of Work Piece (ρ), Constant For Tool Type(a) (a), Machining Time For Maximum Power (tp), Proportion of Initial Volume (V0), Specific Cutting Energy in Machining (ps) & Constant For Tool Type(b) (b). With our tool, you need to enter the respective value for Density of Work Piece, Constant For Tool Type(a), Machining Time For Maximum Power, Proportion of Initial Volume, Specific Cutting Energy in Machining & Constant For Tool Type(b) and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Initial Work Piece Weight?
In this formula, Initial Work Piece Weight uses Density of Work Piece, Constant For Tool Type(a), Machining Time For Maximum Power, Proportion of Initial Volume, Specific Cutting Energy in Machining & Constant For Tool Type(b). We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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))
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