Density of Workpiece given Initial weight of workpiece Calculator

✖The Proportion of Initial Volume or Weight is the proportion of initial volume or initial weight to be removed by machining.ⓘ Proportion of Initial Volume [r₀]			+10% -10%
✖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.ⓘ Specific Cutting Energy in Machining [p_s]			+10% -10%
✖The Initial work piece weight is defined as the weight of the work piece before undergoing machining operation.ⓘ Initial Work Piece Weight [W]			+10% -10%
✖Constant for tool type(b) is defined as the constant for the type of material used in the tool.ⓘ Constant for Tool Type(b) [b]			+10% -10%
✖Machining Time for Maximum Power is the time for processing when the workpiece is machined under maximum power conditions.ⓘ Machining Time for Maximum Power [tmax_p]			+10% -10%
✖Constant for tool type(a) is defined as the constant for the type of material used in the tool.ⓘ Constant for Tool Type(a) [a]			+10% -10%

✖The Density of work piece is the mass per unit volume ratio of the material of workpiece.ⓘ Density of Workpiece given Initial weight of workpiece [ρ_{work piece}]

⎘ Copy

👎

Formula

✖

Density of Workpiece given Initial weight of workpiece

Formula

`"ρ"_{"work piece"} = ("r"_{"0"}*"p"_{"s"}*"W"^(1-"b"))/("tmax"_{"p"}*"a")`

Example

`"7848.725kg/m³"=("0.000112"*"3000MJ/m³"*("12.8kg")^(1-"0.53"))/("48.925s"*"2.9")`

Calculator

LaTeX

Reset

👍

Download Production Engineering Formula PDF

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_{work piece} = (r₀*p_s*W^(1-b))/(tmax_p*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

ρ_{work piece} = (r₀*p_s*W^(1-b))/(tmax_p*a) --> (0.000112*3000000000*12.8^(1-0.53))/(48.925*2.9)

Evaluating ... ...

ρ_{work 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 00.004 seconds)

You are here -

Home » Engineering » Production Engineering » Metal Machining » Design for Machining » Theory of Maximum Power » Initial Weight of Workpiece » Density of Workpiece given Initial weight of workpiece

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!

< 19 Initial Weight of Workpiece Calculators

Initial weight of workpiece given Total rate for Machining and Operator

Go 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))

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

Total rate for Machining and Operator

Go 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*Direct Labor Rate)

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)))

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)

Constant for machine type b given Power available for Machining

Go Constant for Tool Type(b) = (ln(Power Available for Machining/Constant for Tool Type(a)))/(ln(Initial Work Piece Weight))

Initial weight of workpiece given Power available for Machining

Go Initial Work Piece Weight = (Power Available for Machining/Constant for Tool Type(a))^(1/Constant for Tool Type(b))

Power available for Machining given Initial weight of workpiece

Go Power Available for Machining = Constant for Tool Type(a)*(Initial Work Piece Weight)^Constant for Tool Type(b)

Constant for machine type given Power available for Machining

Go Constant for Tool Type(a) = Power Available for Machining/(Initial Work Piece Weight)^Constant for Tool Type(b)

Loading and Unloading time given initial weight of workpiece

Go Loading and Unloading Time = Constant for Tool Type(c)+(Constant for Tool Type(d)*Initial Work Piece Weight)

Initial weight of workpiece given Loading and Unloading time

Go Initial Work Piece Weight = (Loading and Unloading Time-Constant for Tool Type(c))/Constant for Tool Type(d)

Initial weight of workpiece given Cost of Machine tool

Go Initial Work Piece Weight = (Cost of a Tool/Constant for Tool Type(e))^(1/Constant for Tool Type(f))

Surface area of Workpiece given Surface Generation rate

Go Surface Area of Workpiece = (Machining Time for Minimum Cost*Surface Generation Rate)

Initial weight of workpiece given Machining time under Max power for free machining

Go Initial Work Piece Weight = (Machining Time for Maximum Power/49.9)^(1/0.47)

Initial weight of workpiece given Length-to-diameter Ratio

Go Initial Work Piece Weight = (1.26/Length to Diameter Ratio)^(1/0.29)

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

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 ρ_{work 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 (p_s), Initial Work Piece Weight (W), Constant for Tool Type(b) (b), Machining Time for Maximum Power (tmax_p) & 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 ρ_{work piece} = (r₀*p_s*W^(1-b))/(tmax_p*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 (p_s), Initial Work Piece Weight (W), Constant for Tool Type(b) (b), Machining Time for Maximum Power (tmax_p) & 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.

Home

FREE PDFs

🔍 Search