Current Supplied given Volumetric Material Removal Rate Solution

STEP 0: Pre-Calculation Summary
Formula Used
Electric Current = Metal Removal Rate*Work Piece Density/(Electrochemical Equivalent*Current Efficiency in Decimal)
I = Zr*ρ/(e*ηe)
This formula uses 5 Variables
Variables Used
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.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Metal Removal Rate: 38 Cubic Millimeter per Second --> 3.8E-08 Cubic Meter per Second (Check conversion here)
Work Piece Density: 6861.065 Kilogram per Cubic Meter --> 6861.065 Kilogram per Cubic Meter No Conversion Required
Electrochemical Equivalent: 2.894E-07 Kilogram Per Coulomb --> 2.894E-07 Kilogram Per Coulomb No Conversion Required
Current Efficiency in Decimal: 0.9009 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
I = Zr*ρ/(e*ηe) --> 3.8E-08*6861.065/(2.894E-07*0.9009)
Evaluating ... ...
I = 1000.00003835526
STEP 3: Convert Result to Output's Unit
1000.00003835526 Ampere --> No Conversion Required
FINAL ANSWER
1000.00003835526 1000 Ampere <-- Electric Current
(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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National Institute of Technology (NIT), Srinagar
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4 Current Supplied Calculators

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

Current Supplied given Volumetric Material Removal Rate Formula

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

Reactions at Anode and Cathode

The possible reactions occurring at the cathode (at tool):
1. Evolution of hydrogen gas,
2. Neutralization of positively charged metal ions
At the anode also two possible reactions are occurring as follows:
1. Evolution of oxygen and halogen gas, and
2. Dissolution of metal ions.

How to Calculate Current Supplied given Volumetric Material Removal Rate?

Current Supplied given Volumetric Material Removal Rate calculator uses Electric Current = Metal Removal Rate*Work Piece Density/(Electrochemical Equivalent*Current Efficiency in Decimal) to calculate the Electric Current, The Current Supplied given Volumetric Material Removal Rate is a method to determine the current supplied for the ECM when the rate of Material Removal is known. Electric Current is denoted by I symbol.

How to calculate Current Supplied given Volumetric Material Removal Rate using this online calculator? To use this online calculator for Current Supplied given Volumetric Material Removal Rate, enter Metal Removal Rate (Zr), Work Piece Density (ρ), Electrochemical Equivalent (e) & Current Efficiency in Decimal e) and hit the calculate button. Here is how the Current Supplied given Volumetric Material Removal Rate calculation can be explained with given input values -> 782.7261 = 3.8E-08*6861.065/(2.894E-07*0.9009).

FAQ

What is Current Supplied given Volumetric Material Removal Rate?
The Current Supplied given Volumetric Material Removal Rate is a method to determine the current supplied for the ECM when the rate of Material Removal is known and is represented as I = Zr*ρ/(e*ηe) or Electric Current = Metal Removal Rate*Work Piece Density/(Electrochemical Equivalent*Current Efficiency in Decimal). 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, The Work Piece Density is the mass per unit volume ratio of the material of workpiece, The Electrochemical Equivalent is the mass of a substance produced at the electrode during electrolysis by one coulomb of charge & 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.
How to calculate Current Supplied given Volumetric Material Removal Rate?
The Current Supplied given Volumetric Material Removal Rate is a method to determine the current supplied for the ECM when the rate of Material Removal is known is calculated using Electric Current = Metal Removal Rate*Work Piece Density/(Electrochemical Equivalent*Current Efficiency in Decimal). To calculate Current Supplied given Volumetric Material Removal Rate, you need Metal Removal Rate (Zr), Work Piece Density (ρ), Electrochemical Equivalent (e) & Current Efficiency in Decimal e). With our tool, you need to enter the respective value for Metal Removal Rate, Work Piece Density, Electrochemical Equivalent & Current Efficiency in Decimal 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 Electric Current?
In this formula, Electric Current uses Metal Removal Rate, Work Piece Density, Electrochemical Equivalent & Current Efficiency in Decimal. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Electric Current = Supply Voltage/Ohmic Resistance
  • Electric Current = Area of Penetration*Supply Voltage/(Gap Between Tool and Work Surface*Specific Resistance of The Electrolyte)
  • Electric Current = Feed Speed*Work Piece Density*Area of Penetration/(Electrochemical Equivalent*Current Efficiency in Decimal)
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