Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece Calculator

✖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%
✖The Density of work piece is the mass per unit volume ratio of the material of workpiece.ⓘ Density of Work Piece [ρ_{work piece}]			+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%
✖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%

✖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 of workpiece to be removed given Initial weight of workpiece [r₀]

⎘ Copy

👎

Formula

✖

Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece

Formula

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

Example

`"0.000112"=("48.925s"*"7850kg/m³"*"2.9")/("3000.487MJ/m³"*("12.79999kg")^(1-"0.529999827884223"))`

Calculator

LaTeX

Reset

👍

Download Production Engineering Formula PDF

Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
r₀ = (tmax_p*ρ_{work piece}*a)/(p_s*W^(1-b))
This formula uses 7 Variables

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Machining Time For Maximum Power: 48.925 Second --> 48.925 Second No Conversion Required
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
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r₀ = (tmax_p*ρ_{work piece}*a)/(p_s*W^(1-b)) --> (48.925*7850*2.9)/(3000487000*12.79999^(1-0.529999827884223))

Evaluating ... ...

r₀ = 0.000112

STEP 3: Convert Result to Output's Unit

0.000112 --> No Conversion Required

FINAL ANSWER

0.000112 <-- Proportion of Initial Volume

(Calculation completed in 00.012 seconds)

You are here -

Home » Engineering » Production Engineering » Metal Machining » Design for Machining » Theory of Maximum Power » Initial Weight of Workpiece » Proportion of Initial Volume of workpiece to be removed 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))

Power available for Machining given Initial weight of workpiece

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

Initial weight of workpiece given Cost of Machine tool

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

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))

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)

Surface area of Workpiece given Surface Generation rate

Go Surface Area of Workpiece = (Machining Surface Generation 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 For Free Machining = (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)

Proportion of Initial Volume of workpiece to be removed 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 Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece?

Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece calculator uses 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))) to calculate the Proportion of Initial Volume, The Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece formula is used to find the the proportion of the initial volume to be removed by machining. Proportion of Initial Volume is denoted by r₀ symbol.

How to calculate Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece using this online calculator? To use this online calculator for Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece, enter Machining Time For Maximum Power (tmax_p), Density of Work Piece (ρ_{work piece}), Constant For Tool Type(a) (a), Specific Cutting Energy in Machining (p_s), Initial Work Piece Weight (W) & Constant For Tool Type(b) (b) and hit the calculate button. Here is how the Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece calculation can be explained with given input values -> 0.000112 = (48.925*7850*2.9)/(3000487000*12.79999^(1-0.529999827884223)).

FAQ

What is Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece?

The Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece formula is used to find the the proportion of the initial volume to be removed by machining and is represented as r₀ = (tmax_p*ρ_{work piece}*a)/(p_s*W^(1-b)) or 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 is the time for processing when the workpiece is machined under maximum power conditions, 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, 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.

How to calculate Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece?

The Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece formula is used to find the the proportion of the initial volume to be removed by machining is calculated using 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))). To calculate Proportion of Initial Volume of workpiece to be removed given Initial weight of workpiece, you need Machining Time For Maximum Power (tmax_p), Density of Work Piece (ρ_{work piece}), Constant For Tool Type(a) (a), Specific Cutting Energy in Machining (p_s), Initial Work Piece Weight (W) & Constant For Tool Type(b) (b). With our tool, you need to enter the respective value for Machining Time For Maximum Power, Density of Work Piece, Constant For Tool Type(a), Specific Cutting Energy in Machining, Initial Work Piece Weight & 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.

Home

FREE PDFs

🔍 Search