Current Supplied given Volumetric Material Removal Rate Calculator

✖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.ⓘ Work Piece Density [ρ]			+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%
✖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%

✖Electric current is the rate of flow of electric charge through a circuit, measured in amperes.ⓘ Current Supplied given Volumetric Material Removal Rate [I]

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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 = Z_r*ρ/(e*η_e)
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 = Z_r*ρ/(e*η_e) --> 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)

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Created by Kumar Siddhant

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

Kumar Siddhant has created this Calculator and 400+ more calculators!

Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

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< Current in ECM Calculators

Current Efficiency given Gap between Tool and Work Surface

LaTeX Go Current Efficiency in Decimal = Gap Between Tool And Work Surface*Specific Resistance of The Electrolyte*Work Piece Density*Feed Speed/(Supply Voltage*Electrochemical Equivalent)

Current Efficiency given Tool Feed Speed

LaTeX Go Current Efficiency in Decimal = Feed Speed*Work Piece Density*Area of Penetration/(Electrochemical Equivalent*Electric Current)

Current Efficiency given Volumetric Material Removal Rate

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

Current Supplied given Volumetric Material Removal Rate

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

Current Supplied given Volumetric Material Removal Rate Formula

LaTeX Go

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

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 (Z_r), Work Piece Density (ρ), Electrochemical Equivalent (e) & Current Efficiency in Decimal (η_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 = Z_r*ρ/(e*η_e) 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 (Z_r), Work Piece Density (ρ), Electrochemical Equivalent (e) & Current Efficiency in Decimal (η_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 = Feed Speed*Work Piece Density*Area of Penetration/(Electrochemical Equivalent*Current Efficiency in Decimal)
Electric Current = Supply Voltage/Ohmic Resistance
Electric Current = Area of Penetration*Supply Voltage/(Gap Between Tool And Work Surface*Specific Resistance of The Electrolyte)

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