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Volumetric Material Removal Rate Formula

GoVolumetric Material Removal Rate given Tool Feed Speed Formula

GoTotal Material Removal Rate in Electrolytic Grinding Formula

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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. Check FAQs

Z r = η e \cdot e \cdot \frac{I}{ρ}

Z_r - Metal Removal Rate?η_e - Current Efficiency in Decimal?e - Electrochemical Equivalent?I - Electric Current?ρ - Work Piece Density?

Volumetric Material Removal Rate Example

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With units

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Here is how the Volumetric Material Removal Rate equation looks like with Values.

Here is how the Volumetric Material Removal Rate equation looks like with Units.

Here is how the Volumetric Material Removal Rate equation looks like.

38 = 0.9009 \cdot 2.9E-7 \cdot \frac{1000}{6861.065}

38mm³/s = 0.9009 \cdot 2.9E-7kg/C \cdot \frac{1000A}{6861.065kg/m³}

38 = 0.9009 \cdot 2.9E-7 \cdot \frac{1000}{6861.065}

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Volumetric Material Removal Rate Solution

Follow our step by step solution on how to calculate Volumetric Material Removal Rate?

FIRST Step Consider the formula

Z r = η e \cdot e \cdot \frac{I}{ρ}

Next Step Substitute values of Variables

∴

Z r = 0.9009 \cdot 2.9E-7kg/C \cdot \frac{1000A}{6861.065kg/m³}

Next Step Prepare to Evaluate

∴

Z r = 0.9009 \cdot 2.9E-7 \cdot \frac{1000}{6861.065}

Next Step Evaluate

∴

Z r = 3.79999985425003E-08m³/s

Next Step Convert to Output's Unit

∴

Z r = 37.9999985425003mm³/s

LAST Step Rounding Answer

∴

Z r = 38mm³/s

Volumetric Material Removal Rate Formula Elements

Variables

Metal Removal Rate

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.

Symbol: Z_r

Measurement: Volumetric Flow RateUnit: mm³/s

Note: Value should be greater than 0.

Formulas to find Metal Removal Rate

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.

Symbol: η_e

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Current Efficiency in Decimal

Electrochemical Equivalent

The Electrochemical Equivalent is the mass of a substance produced at the electrode during electrolysis by one coulomb of charge.

Symbol: e

Measurement: Electrochemical EquivalentUnit: kg/C

Note: Value should be greater than 0.

Formulas to find Electrochemical Equivalent

Electric Current

Electric current is the rate of flow of electric charge through a circuit, measured in amperes.

Symbol: I

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Electric Current

Work Piece Density

The Work Piece Density is the mass per unit volume ratio of the material of workpiece.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Work Piece Density

Other Formulas to find Metal Removal Rate

Go Volumetric Material Removal Rate given Tool Feed Speed

Z r = V f \cdot A

Go Total Material Removal Rate in Electrolytic Grinding

Z r = Z e + Z a

Other formulas in Material Removal Rate category

Go Density of Work Material given Volumetric Material Removal Rate

ρ = η e \cdot e \cdot \frac{I}{Z r}

Go Electrochemical Equivalent of Work given Volumetric Material Removal Rate

e = Z r \cdot \frac{ρ}{η e \cdot I}

Go Metal Removed by Mechanical Abrasion per Unit Time given Total Material Removal Rate

Z a = Z r - Z e

Go Metal Removal Rate Electrolytically Given Total Material Removal Rate

Z e = Z r - Z a

How to Evaluate Volumetric Material Removal Rate?

Volumetric Material Removal Rate evaluator uses Metal Removal Rate = Current Efficiency in Decimal*Electrochemical Equivalent*Electric Current/Work Piece Density to evaluate 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 evaluate Volumetric Material Removal Rate using this online evaluator? To use this online evaluator 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.

FAQs on Volumetric Material Removal Rate

What is the formula to find Volumetric Material Removal Rate?

The formula of Volumetric Material Removal Rate is expressed as Metal Removal Rate = Current Efficiency in Decimal*Electrochemical Equivalent*Electric Current/Work Piece Density. Here is an example- 3.8E+10 = 0.9009*2.894E-07*1000/6861.065.

How to calculate Volumetric Material Removal Rate?

With Current Efficiency in Decimal (η_e), Electrochemical Equivalent (e), Electric Current (I) & Work Piece Density (ρ) we can find Volumetric Material Removal Rate using the formula - Metal Removal Rate = Current Efficiency in Decimal*Electrochemical Equivalent*Electric Current/Work Piece Density.

What are the other ways to Calculate Metal Removal Rate?

Here are the different ways to Calculate Metal Removal Rate-

Metal Removal Rate=Feed Speed*Area of Penetration
Metal Removal Rate=Metal Removal Rate Due to Electrolysis+Metal Removal Rate Due to Mechanical Abrasion

Can the Volumetric Material Removal Rate be negative?

No, the Volumetric Material Removal Rate, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Volumetric Material Removal Rate?

Volumetric Material Removal Rate is usually measured using the Cubic Millimeter per Second[mm³/s] for Volumetric Flow Rate. Cubic Meter per Second[mm³/s], Cubic Meter per Day[mm³/s], Cubic Meter per Hour[mm³/s] are the few other units in which Volumetric Material Removal Rate can be measured.

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Volumetric Material Removal Rate Formula

​GoVolumetric Material Removal Rate given Tool Feed Speed Formula

​GoTotal Material Removal Rate in Electrolytic Grinding Formula

Volumetric Material Removal Rate Example

Volumetric Material Removal Rate Solution

Volumetric Material Removal Rate Formula Elements

Other Formulas to find Metal Removal Rate

Other formulas in Material Removal Rate category

How to Evaluate Volumetric Material Removal Rate?

FAQs on Volumetric Material Removal Rate

Variable Name

GoVolumetric Material Removal Rate given Tool Feed Speed Formula

GoTotal Material Removal Rate in Electrolytic Grinding Formula