Constant for machine type given Machining time for maximum power Solution

STEP 0: Pre-Calculation Summary
Formula Used
Constant For Tool Type(a) = (Proportion of Initial Volume*Specific Cutting Energy in Machining*Initial Work Piece Weight^(1-Constant For Tool Type(b)))/(Density of Work Piece*Machining Time For Maximum Power)
a = (V0*ps*W^(1-b))/(ρ*tp)
This formula uses 7 Variables
Variables Used
Constant For Tool Type(a) - Constant For Tool Type(a) is defined as the constant for the type of material used in the tool.
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.
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.
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.
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
Density of Work Piece: 7850 Kilogram per Cubic Meter --> 7850 Kilogram per Cubic Meter No Conversion Required
Machining Time For Maximum Power: 48.925 Second --> 48.925 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a = (V0*ps*W^(1-b))/(ρ*tp) --> (0.000112*3000487000*12.79999^(1-0.529999827884223))/(7850*48.925)
Evaluating ... ...
a = 2.9
STEP 3: Convert Result to Output's Unit
2.9 --> No Conversion Required
FINAL ANSWER
2.9 <-- Constant For Tool Type(a)
(Calculation completed in 00.004 seconds)

Credits

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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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Constant for machine type given Machining time for maximum power Formula

​LaTeX ​Go
Constant For Tool Type(a) = (Proportion of Initial Volume*Specific Cutting Energy in Machining*Initial Work Piece Weight^(1-Constant For Tool Type(b)))/(Density of Work Piece*Machining Time For Maximum Power)
a = (V0*ps*W^(1-b))/(ρ*tp)

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How to Calculate Constant for machine type given Machining time for maximum power?

Constant for machine type given Machining time for maximum power calculator uses Constant For Tool Type(a) = (Proportion of Initial Volume*Specific Cutting Energy in Machining*Initial Work Piece Weight^(1-Constant For Tool Type(b)))/(Density of Work Piece*Machining Time For Maximum Power) to calculate the Constant For Tool Type(a), The Constant for machine type given Machining time for maximum power is defined as the constant for the type of material used in the tool. Constant For Tool Type(a) is denoted by a symbol.

How to calculate Constant for machine type given Machining time for maximum power using this online calculator? To use this online calculator for Constant for machine type given Machining time for maximum power, enter Proportion of Initial Volume (V0), Specific Cutting Energy in Machining (ps), Initial Work Piece Weight (W), Constant For Tool Type(b) (b), Density of Work Piece (ρ) & Machining Time For Maximum Power (tp) and hit the calculate button. Here is how the Constant for machine type given Machining time for maximum power calculation can be explained with given input values -> 2.900006 = (0.000112*3000487000*12.79999^(1-0.529999827884223))/(7850*48.925).

FAQ

What is Constant for machine type given Machining time for maximum power?
The Constant for machine type given Machining time for maximum power is defined as the constant for the type of material used in the tool and is represented as a = (V0*ps*W^(1-b))/(ρ*tp) or Constant For Tool Type(a) = (Proportion of Initial Volume*Specific Cutting Energy in Machining*Initial Work Piece Weight^(1-Constant For Tool Type(b)))/(Density of Work Piece*Machining Time For Maximum Power). 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, The Density of Work Piece is the mass per unit volume ratio of the material of workpiece & Machining Time For Maximum Power is the time for processing when the workpiece is machined under maximum power conditions.
How to calculate Constant for machine type given Machining time for maximum power?
The Constant for machine type given Machining time for maximum power is defined as the constant for the type of material used in the tool is calculated using Constant For Tool Type(a) = (Proportion of Initial Volume*Specific Cutting Energy in Machining*Initial Work Piece Weight^(1-Constant For Tool Type(b)))/(Density of Work Piece*Machining Time For Maximum Power). To calculate Constant for machine type given Machining time for maximum power, you need Proportion of Initial Volume (V0), Specific Cutting Energy in Machining (ps), Initial Work Piece Weight (W), Constant For Tool Type(b) (b), Density of Work Piece (ρ) & Machining Time For Maximum Power (tp). 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), Density of Work Piece & Machining Time For Maximum Power 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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