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 = ηe*e*I/Zr
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 = ηe*e*I/Zr --> 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)

Credits

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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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15 ECM (Electrochemical Machining) Calculators

Specific Resistivity of Electrolyte given Gap between Tool and Work Surface
Go Specific Resistance of The Electrolyte = Current Efficiency in Decimal*Supply Voltage*Electrochemical Equivalent/(Gap Between Tool and Work Surface*Work Piece Density*Feed Speed)
Density of Work Material given Gap between Tool and Work Surface
Go Work Piece Density = Current Efficiency in Decimal*Supply Voltage*Electrochemical Equivalent/(Specific Resistance of The Electrolyte*Feed Speed*Gap Between Tool and Work Surface)
Gap between Tool and Work Surface
Go Gap Between Tool and Work Surface = Current Efficiency in Decimal*Supply Voltage*Electrochemical Equivalent/(Specific Resistance of The Electrolyte*Work Piece Density*Feed Speed)
Electrochemical Equivalent of Work given Tool Feed Speed
Go Electrochemical Equivalent = Feed Speed*Work Piece Density*Area of Penetration/(Current Efficiency in Decimal*Electric Current)
Density of Work given Tool Feed Speed
Go Work Piece Density = Electrochemical Equivalent*Current Efficiency in Decimal*Electric Current/(Feed Speed*Area of Penetration)
Specific Resistivity of Electrolyte given Supply Current
Go Specific Resistance of The Electrolyte = Area of Penetration*Supply Voltage/(Gap Between Tool and Work Surface*Electric Current)
Gap between Tool and Work Surface given Supply Current
Go Gap Between Tool and Work Surface = Area of Penetration*Supply Voltage/(Specific Resistance of The Electrolyte*Electric Current)
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
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
Volumetric Material Removal Rate given Tool Feed Speed
Go Metal Removal Rate = Feed Speed*Area of Penetration
Resistance Owing to Electrolyte given Supply Current and Voltage
Go Ohmic Resistance = Supply Voltage/Electric Current

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 = ηe*e*I/Zr

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 e), Electrochemical Equivalent (e), Electric Current (I) & Metal Removal Rate (Zr) 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 = ηe*e*I/Zr 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 e), Electrochemical Equivalent (e), Electric Current (I) & Metal Removal Rate (Zr). 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.
How many ways are there to calculate Work Piece Density?
In this formula, Work Piece Density uses Current Efficiency in Decimal, Electrochemical Equivalent, Electric Current & Metal Removal Rate. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Work Piece Density = Electrochemical Equivalent*Current Efficiency in Decimal*Electric Current/(Feed Speed*Area of Penetration)
  • Work Piece Density = Current Efficiency in Decimal*Supply Voltage*Electrochemical Equivalent/(Specific Resistance of The Electrolyte*Feed Speed*Gap Between Tool and Work Surface)
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