Volumetric Material Removal Rate Solution

STEP 0: Pre-Calculation Summary
Formula Used
Metal Removal Rate = Current Efficiency in Decimal*Electrochemical Equivalent*Electric Current/Work Piece Density
Zr = ηe*e*I/ρ
This formula uses 5 Variables
Variables Used
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.
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.
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.
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
Work Piece Density: 6861.065 Kilogram per Cubic Meter --> 6861.065 Kilogram per Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Zr = ηe*e*I/ρ --> 0.9009*2.894E-07*1000/6861.065
Evaluating ... ...
Zr = 3.79999985425003E-08
STEP 3: Convert Result to Output's Unit
3.79999985425003E-08 Cubic Meter per Second -->37.9999985425003 Cubic Millimeter per Second (Check conversion here)
FINAL ANSWER
37.9999985425003 38 Cubic Millimeter per Second <-- Metal Removal Rate
(Calculation completed in 00.004 seconds)

Credits

Created by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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Verified by Parul Keshav
National Institute of Technology (NIT), Srinagar
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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

Volumetric Material Removal Rate Formula

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

Electrochemical Machining (ECM)

Electrochemical Machining (ECM) refers to the process of metal removal in which electrolytic action is utilized to dissolve the workpiece metal. For ECM, the workpiece must be a conductor of electricity, which is placed in a tank of electrolyte solution and connected to the positive terminal of a high-current, low-voltage DC supply.

How to Calculate Volumetric Material Removal Rate?

Volumetric Material Removal Rate calculator uses Metal Removal Rate = Current Efficiency in Decimal*Electrochemical Equivalent*Electric Current/Work Piece Density to calculate the Metal Removal Rate, The Volumetric Material Removal Rate formula is used to find the Volume of total mass removed per unit time when the removal is done using electrolysis. Metal Removal Rate is denoted by Zr symbol.

How to calculate Volumetric Material Removal Rate using this online calculator? To use this online calculator for Volumetric Material Removal Rate, enter Current Efficiency in Decimal e), Electrochemical Equivalent (e), Electric Current (I) & Work Piece Density (ρ) and hit the calculate button. Here is how the Volumetric Material Removal Rate calculation can be explained with given input values -> 3.8E+10 = 0.9009*2.894E-07*1000/6861.065.

FAQ

What is Volumetric Material Removal Rate?
The Volumetric Material Removal Rate formula is used to find the Volume of total mass removed per unit time when the removal is done using electrolysis and is represented as Zr = ηe*e*I/ρ or Metal Removal Rate = Current Efficiency in Decimal*Electrochemical Equivalent*Electric Current/Work Piece Density. 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 & The Work Piece Density is the mass per unit volume ratio of the material of workpiece.
How to calculate Volumetric Material Removal Rate?
The Volumetric Material Removal Rate formula is used to find the Volume of total mass removed per unit time when the removal is done using electrolysis is calculated using Metal Removal Rate = Current Efficiency in Decimal*Electrochemical Equivalent*Electric Current/Work Piece Density. To calculate Volumetric Material Removal Rate, you need Current Efficiency in Decimal e), Electrochemical Equivalent (e), Electric Current (I) & Work Piece Density (ρ). With our tool, you need to enter the respective value for Current Efficiency in Decimal, Electrochemical Equivalent, Electric Current & Work Piece Density 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 Metal Removal Rate?
In this formula, Metal Removal Rate uses Current Efficiency in Decimal, Electrochemical Equivalent, Electric Current & Work Piece Density. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Metal Removal Rate = Feed Speed*Area of Penetration
  • Metal Removal Rate = Metal Removal Rate Due to Electrolysis+Metal Removal Rate Due to Mechanical Abrasion
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