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

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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
Z_r = η_e*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

Z_r = η_e*e*I/ρ --> 0.9009*2.894E-07*1000/6861.065

Evaluating ... ...

Z_r = 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 00.020 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

Parul Keshav has verified this Calculator and 400+ more calculators!

< Material Removal Rate Calculators

Electrochemical Equivalent of Work given Volumetric Material Removal Rate

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

Density of Work Material given Volumetric Material Removal Rate

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

Volumetric Material Removal Rate

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

Volumetric Material Removal Rate given Tool Feed Speed

LaTeX Go Metal Removal Rate = Feed Speed*Area of Penetration

Volumetric Material Removal Rate Formula

LaTeX Go

Metal Removal Rate = Current Efficiency in Decimal*Electrochemical Equivalent*Electric Current/Work Piece Density
Z_r = η_e*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 Z_r 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 (η_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 Z_r = η_e*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 (η_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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