Density of Work Material given Volumetric Material Removal Rate Calculator

✖Current Efficiency in Decimal is the ratio of the actual mass of a substance liberated from an electrolyte by the passage of current to the theoretical mass liberated according to Faraday's law.ⓘ Current Efficiency in Decimal [η_e]			+10% -10%
✖The Electrochemical Equivalent is the mass of a substance produced at the electrode during electrolysis by one coulomb of charge.ⓘ Electrochemical Equivalent [e]			+10% -10%
✖Electric current is the rate of flow of electric charge through a circuit, measured in amperes.ⓘ Electric Current [I]			+10% -10%
✖Metal Removal Rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine.ⓘ Metal Removal Rate [Z_r]			+10% -10%

✖The Work Piece Density is the mass per unit volume ratio of the material of workpiece.ⓘ Density of Work Material given Volumetric Material Removal Rate [ρ]

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Formula

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Density of Work Material given Volumetric Material Removal Rate

Formula

`"ρ" = "η"_{"e"}*"e"*"I"/"Z"_{"r"}`

Example

`"6861.065kg/m³"=".9009"*"2.894E^-7kg/C"*"1000A"/"38mm³/s"`

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Density of Work Material given Volumetric Material Removal Rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Work Piece Density = Current Efficiency in Decimal*Electrochemical Equivalent*Electric Current/Metal Removal Rate
ρ = η_e*e*I/Z_r
This formula uses 5 Variables

Variables Used

Work Piece Density - (Measured in Kilogram per Cubic Meter) - The Work Piece Density is the mass per unit volume ratio of the material of workpiece.
Current Efficiency in Decimal - Current Efficiency in Decimal is the ratio of the actual mass of a substance liberated from an electrolyte by the passage of current to the theoretical mass liberated according to Faraday's law.
Electrochemical Equivalent - (Measured in Kilogram Per Coulomb) - The Electrochemical Equivalent is the mass of a substance produced at the electrode during electrolysis by one coulomb of charge.
Electric Current - (Measured in Ampere) - Electric current is the rate of flow of electric charge through a circuit, measured in amperes.
Metal Removal Rate - (Measured in Cubic Meter per Second) - Metal Removal Rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine.

STEP 1: Convert Input(s) to Base Unit

Current Efficiency in Decimal: 0.9009 --> No Conversion Required
Electrochemical Equivalent: 2.894E-07 Kilogram Per Coulomb --> 2.894E-07 Kilogram Per Coulomb No Conversion Required
Electric Current: 1000 Ampere --> 1000 Ampere No Conversion Required
Metal Removal Rate: 38 Cubic Millimeter per Second --> 3.8E-08 Cubic Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ = η_e*e*I/Z_r --> 0.9009*2.894E-07*1000/3.8E-08

Evaluating ... ...

ρ = 6861.0647368421

STEP 3: Convert Result to Output's Unit

6861.0647368421 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

6861.0647368421 ≈ 6861.065 Kilogram per Cubic Meter <-- Work Piece Density

(Calculation completed in 00.004 seconds)

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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

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< 13 Material Removal Rate Calculators

Electrochemical Equivalent of Work given Volumetric Material Removal Rate

Go Electrochemical Equivalent = Metal Removal Rate*Work Piece Density/(Current Efficiency in Decimal*Electric Current)

Density of Work Material given Volumetric Material Removal Rate

Go Work Piece Density = Current Efficiency in Decimal*Electrochemical Equivalent*Electric Current/Metal Removal Rate

Volumetric Material Removal Rate

Go Metal Removal Rate = Current Efficiency in Decimal*Electrochemical Equivalent*Electric Current/Work Piece Density

Material Removal Rate in ECM

Go Material Removal Rate = (Atomic Weight of Material*Electric Current)/([Faraday]*Valency)

Valency of Work Material

Go Valency = (Atomic Weight of Material*Electric Current)/(Material Removal Rate*[Faraday])

Atomic Weight of Work Material

Go Atomic Weight of Material = (Material Removal Rate*Valency*[Faraday])/Electric Current

Current Required for given MRR

Go Electric Current = (Material Removal Rate*Valency*[Faraday])/Atomic Weight of Material

Metal Removed by Mechanical Abrasion per Unit Time given Total Material Removal Rate

Go Metal Removal Rate Due to Mechanical Abrasion = Metal Removal Rate-Metal Removal Rate Due to Electrolysis

Metal Removal Rate Electrolytically Given Total Material Removal Rate

Go Metal Removal Rate Due to Electrolysis = Metal Removal Rate-Metal Removal Rate Due to Mechanical Abrasion

Total Material Removal Rate in Electrolytic Grinding

Go Metal Removal Rate = Metal Removal Rate Due to Electrolysis+Metal Removal Rate Due to Mechanical Abrasion

Area of Work Exposed to Electrolysis given Volumetric Material Removal Rate

Go Area of Penetration = Metal Removal Rate/Feed Speed

Volumetric Material Removal Rate given Tool Feed Speed

Go Metal Removal Rate = Feed Speed*Area of Penetration

Tool Feed Speed given Volumetric Material Removal Rate

Go Feed Speed = Metal Removal Rate/Area of Penetration

Density of Work Material given Volumetric Material Removal Rate Formula

Work Piece Density = Current Efficiency in Decimal*Electrochemical Equivalent*Electric Current/Metal Removal Rate
ρ = η_e*e*I/Z_r

Processes that happen at Workpiece (Anode) during ECM

The electrochemical reactions take place at the anode (workpiece) and the cathode (tool), as well as the surrounding electrolyte fluid. As the electrical current is applied across the electrode, positive ions move towards the tool, and negative ions move towards the workpiece. As electrons cross the gap between the workpiece and the tool, metal ions come away from the workpiece.

How to Calculate Density of Work Material given Volumetric Material Removal Rate?

Density of Work Material given Volumetric Material Removal Rate calculator uses Work Piece Density = Current Efficiency in Decimal*Electrochemical Equivalent*Electric Current/Metal Removal Rate to calculate the Work Piece Density, The Density of Work material given Volumetric Material Removal Rate is a method to determine the density of workpiece based on the volume of material removed in total time for which the current is passed. Work Piece Density is denoted by ρ symbol.

How to calculate Density of Work Material given Volumetric Material Removal Rate using this online calculator? To use this online calculator for Density of Work Material given Volumetric Material Removal Rate, enter Current Efficiency in Decimal (η_e), Electrochemical Equivalent (e), Electric Current (I) & Metal Removal Rate (Z_r) and hit the calculate button. Here is how the Density of Work Material given Volumetric Material Removal Rate calculation can be explained with given input values -> 8765.602 = 0.9009*2.894E-07*1000/3.8E-08.

FAQ

What is Density of Work Material given Volumetric Material Removal Rate?

The Density of Work material given Volumetric Material Removal Rate is a method to determine the density of workpiece based on the volume of material removed in total time for which the current is passed and is represented as ρ = η_e*e*I/Z_r or Work Piece Density = Current Efficiency in Decimal*Electrochemical Equivalent*Electric Current/Metal Removal Rate. Current Efficiency in Decimal is the ratio of the actual mass of a substance liberated from an electrolyte by the passage of current to the theoretical mass liberated according to Faraday's law, The Electrochemical Equivalent is the mass of a substance produced at the electrode during electrolysis by one coulomb of charge, Electric current is the rate of flow of electric charge through a circuit, measured in amperes & Metal Removal Rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine.

How to calculate Density of Work Material given Volumetric Material Removal Rate?

The Density of Work material given Volumetric Material Removal Rate is a method to determine the density of workpiece based on the volume of material removed in total time for which the current is passed is calculated using Work Piece Density = Current Efficiency in Decimal*Electrochemical Equivalent*Electric Current/Metal Removal Rate. To calculate Density of Work Material given Volumetric Material Removal Rate, you need Current Efficiency in Decimal (η_e), Electrochemical Equivalent (e), Electric Current (I) & Metal Removal Rate (Z_r). With our tool, you need to enter the respective value for Current Efficiency in Decimal, Electrochemical Equivalent, Electric Current & Metal Removal Rate 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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