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))
ρwork piece = (r0*ps*W^(1-b))/(tmaxp*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) - The 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 Megajoule per Cubic Meter --> 3000000000 Joule per Cubic Meter (Check conversion here)
Initial Work Piece Weight: 12.8 Kilogram --> 12.8 Kilogram No Conversion Required
Constant for Tool Type(b): 0.53 --> 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
ρwork piece = (r0*ps*W^(1-b))/(tmaxp*a) --> (0.000112*3000000000*12.8^(1-0.53))/(48.925*2.9)
Evaluating ... ...
ρwork piece = 7848.72532810121
STEP 3: Convert Result to Output's Unit
7848.72532810121 Kilogram per Cubic Meter --> No Conversion Required
FINAL ANSWER
7848.72532810121 7848.725 Kilogram per Cubic Meter <-- Density of work piece
(Calculation completed in 00.020 seconds)

Credits

Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
Parul Keshav has created this Calculator and 300+ more calculators!
Verified by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
Rajat Vishwakarma has verified this Calculator and 400+ more calculators!

24 Machining Calculators

Machining and Operating Rate given Machining Cost for Maximum Power
Go Machining and Operating Rate = ((Machining and Operating Cost of Each Product/Machining Time for Maximum Power)-(Time Proportion of Cutting Edge Engagement*Cost of a Tool/Tool Life))/((Time Proportion of Cutting Edge Engagement*Time to Change One Tool/Tool Life)+1)
Machining Rate given Machining Cost for Maximum Power with limited Cutting Speed
Go Machining and Operating Rate = Machining and Operating Cost of Each Product/(((((Machining Time for Minimum Cost/Machining Time for Maximum Power)^(1/Taylor's Tool Life Exponent))*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))+1)*Machining Time for Maximum Power)
Constant for machine type b given Machining time for maximum power
Go Constant for Tool Type(b) = 1-(ln(Density of work piece*Constant for Tool Type(a)*Machining Time for Maximum Power)-ln(Proportion of Initial Volume*Specific Cutting Energy in Machining))/ln(Initial Work Piece Weight)
Number of shifts given Total rate for Machining and Operator
Go Number of Shifts = (Factor to allow for Machining*Constant for Tool Type(e)*Initial Work Piece Weight^Constant for Tool Type(f))/((Total Rate of Machining and Operator-(Factor to allow for Operator*Direct Labor Rate))*(2*Amortized Years))
Factor to allow for Machining overheads given Total rate for Machining and Operator
Go Factor to allow for Machining = (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)*Initial Work Piece Weight^Constant for Tool Type(f))
Factor to allow for Operator overheads given Total rate for Machining and Operator
Go Factor to allow for Operator = (Total Rate of Machining and Operator-((Factor to allow for Machining*Constant for Tool Type(e)*Initial Work Piece Weight^Constant for Tool Type(f))/(2*Amortized Years*Number of Shifts)))/Direct Labor Rate
Direct labour Rate given Total rate for Machining and Operator
Go Direct Labor Rate = (Total Rate of Machining and Operator-((Factor to allow for Machining*Constant for Tool Type(e)*Initial Work Piece Weight^Constant for Tool Type(f))/(2*Amortized Years*Number of Shifts)))/Factor to allow for Operator
Time Proportion of Cutting Edge Engagement for Maximum Power delivery given Machining Cost
Go Time Proportion of Cutting Edge Engagement = Tool Life*((Machining and Operating Cost of Each Product/Machining Time for Maximum Power)-Machining and Operating Rate)/(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)
Initial weight of workpiece given Machining time for maximum power
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)))
Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece
Go Proportion of Initial Volume = (Machining Time for Maximum Power*Density of work piece*Constant for Tool Type(a))/(Specific Cutting Energy in Machining*Initial Work Piece Weight^(1-Constant for Tool Type(b)))
Machining time for maximum power given Initial weight of workpiece
Go Machining Time for Maximum Power = (Proportion of Initial Volume*Specific Cutting Energy in Machining*Initial Work Piece Weight^(1-Constant for Tool Type(b)))/(Density of work piece*Constant for Tool Type(a))
Constant for machine type given Machining time for maximum power
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)
Specific cutting energy given Initial weight of workpiece
Go Specific Cutting Energy in Machining = (Machining Time for Maximum Power*Density of work piece*Constant for Tool Type(a))/(Proportion of Initial Volume*Initial Work Piece Weight^(1-Constant for Tool Type(b)))
Density of Workpiece given Initial weight of workpiece
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))
Length of Workpiece given Machining time for maximum power
Go Length of Workpiece = (Machining Time for Maximum Power*Power Available for Machining)/(Specific Cutting Energy in Machining*pi*Diameter of Workpiece*Depth of Cut)
Depth of cut given Machining time for maximum power
Go Depth of Cut = (Machining Time for Maximum Power*Power Available for Machining)/(Specific Cutting Energy in Machining*pi*Length of Workpiece*Diameter of Workpiece)
Diameter of workpiece terms of Machining time for maximum power
Go Diameter of Workpiece = (Machining Time for Maximum Power*Power Available for Machining)/(Specific Cutting Energy in Machining*pi*Length of Workpiece*Depth of Cut)
Length of Workpiece given Surface Generation rate
Go Length of Workpiece = (Machining Time for Minimum Cost*Surface Generation Rate)/(pi*Diameter of Workpiece)
Diameter of Workpiece given Surface Generation rate
Go Diameter of Workpiece = (Machining Time for Minimum Cost*Surface Generation Rate)/(pi*Length of Workpiece)
Volume of material to be removed given Machining time for maximum power
Go Volume of Work Material Removed = (Machining Time for Maximum Power*Power Available for Machining)/(Specific Cutting Energy in Machining)
Machining Time for Minimum Cost given Surface Generation rate
Go Machining Time for Minimum Cost = (Surface Area of Workpiece)/Surface Generation Rate
Surface area of Workpiece given Surface Generation rate
Go Surface Area of Workpiece = (Machining Time for Minimum Cost*Surface Generation Rate)
Surface Generation Rate
Go Surface Generation Rate = (Surface Area of Workpiece)/Machining Time for Minimum Cost
Length-to-diameter Ratio in terms Initial weight of workpiece
Go Length to Diameter Ratio = 1.26/(Initial Work Piece Weight^0.29)

Density of Workpiece given Initial weight of workpiece 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))
ρwork piece = (r0*ps*W^(1-b))/(tmaxp*a)

Example of Energy Efficient CNC Machine Savings

The Energy Efficient CNC, DATRON M7 with a 1.8 kwatt spindle, draws approximately 1.0 kwatt hour. Calculated on 60% power consumption, a continuous 40 hour workweek at an average state rate of $0.1472 per kwatt; the M7 costs approximately $197 a month to power.

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, The Density of Workpiece given Initial weight of workpiece formula is used to find the mass per unit volume ratio of the material of the workpiece. Density of work piece is denoted by ρwork piece 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 (r0), Specific Cutting Energy in Machining (ps), Initial Work Piece Weight (W), Constant for Tool Type(b) (b), Machining Time for Maximum Power (tmaxp) & 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 -> 7848.725 = (0.000112*3000000000*12.8^(1-0.53))/(48.925*2.9).

FAQ

What is Density of Workpiece given Initial weight of workpiece?
The Density of Workpiece given Initial weight of workpiece formula is used to find the mass per unit volume ratio of the material of the workpiece and is represented as ρwork piece = (r0*ps*W^(1-b))/(tmaxp*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, The 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?
The Density of Workpiece given Initial weight of workpiece formula is used to find the mass per unit volume ratio of the material of the workpiece 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 (r0), Specific Cutting Energy in Machining (ps), Initial Work Piece Weight (W), Constant for Tool Type(b) (b), Machining Time for Maximum Power (tmaxp) & 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!