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 [t_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]			+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%
✖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 [V₀]

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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)))
V₀ = (t_p*ρ*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) - 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

V₀ = (t_p*ρ*a)/(p_s*W^(1-b)) --> (48.925*7850*2.9)/(3000487000*12.79999^(1-0.529999827884223))

Evaluating ... ...

V₀ = 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 00.004 seconds)

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

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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 V₀ 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 (t_p), Density of Work Piece (ρ), 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 V₀ = (t_p*ρ*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, 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 (t_p), Density of Work Piece (ρ), 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.

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