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Material removal rate, MRR Formula

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Material Removal Rate is the rate at which the material is removed from the work metal. Check FAQs

MRR = - \frac{K mrr \cdot {V c}^{2}}{2 \cdot R c \cdot \ln (1 - (\frac{V c}{V 0}))}

MRR - Material Removal Rate?K_mrr - Proportionality Constant of MRR?V_c - Voltage at any Time t?R_c - Resistance of the Charging Circuit?V₀ - Voltage of Power Supply?

Material removal rate, MRR Example

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Here is how the Material removal rate, MRR equation looks like with Values.

Here is how the Material removal rate, MRR equation looks like with Units.

Here is how the Material removal rate, MRR equation looks like.

74690.3353 = - \frac{1.5 \cdot 2^{2}}{2 \cdot 0.18 \cdot \ln (1 - (\frac{2}{10}))}

74690.3353g/s = - \frac{1.5 \cdot {2V}^{2}}{2 \cdot 0.18Ω \cdot \ln (1 - (\frac{2V}{10V}))}

74690.3353 = - \frac{1.5 \cdot 2^{2}}{2 \cdot 0.18 \cdot \ln (1 - (\frac{2}{10}))}

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Material removal rate, MRR Solution

Follow our step by step solution on how to calculate Material removal rate, MRR?

FIRST Step Consider the formula

MRR = - \frac{K mrr \cdot {V c}^{2}}{2 \cdot R c \cdot \ln (1 - (\frac{V c}{V 0}))}

Next Step Substitute values of Variables

∴

MRR = - \frac{1.5 \cdot {2V}^{2}}{2 \cdot 0.18Ω \cdot \ln (1 - (\frac{2V}{10V}))}

Next Step Prepare to Evaluate

∴

MRR = - \frac{1.5 \cdot 2^{2}}{2 \cdot 0.18 \cdot \ln (1 - (\frac{2}{10}))}

Next Step Evaluate

∴

MRR = 74.6903352954092kg/s

Next Step Convert to Output's Unit

∴

MRR = 74690.3352954092g/s

LAST Step Rounding Answer

∴

MRR = 74690.3353g/s

Material removal rate, MRR Formula Elements

Variables

Functions

Material Removal Rate

Material Removal Rate is the rate at which the material is removed from the work metal.

Symbol: MRR

Measurement: Mass Flow RateUnit: g/s

Note: Value should be greater than 0.

Formulas to find Material Removal Rate

Proportionality Constant of MRR

Proportionality constant of MRR is a proportionality constant defined to calculate MRR.

Symbol: K_mrr

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Proportionality Constant of MRR

Voltage at any Time t

Voltage at any time t is the charging voltage in the circuit at any given time.

Symbol: V_c

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Voltage at any Time t

Resistance of the Charging Circuit

Resistance of the charging circuit is the resistance of the charging circuit.

Symbol: R_c

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Resistance of the Charging Circuit

Voltage of Power Supply

Voltage of power supply is the voltage required to charge a given device within given time.

Symbol: V₀

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Voltage of Power Supply

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Material removal rate (MRR) category

Go Proportionality constant for MRR

K mrr = - \frac{MRR \cdot (2 \cdot R c \cdot \ln (1 - (\frac{V c}{V 0})))}{{V c}^{2}}

Go Resistance of circuit

R c = - \frac{K mrr \cdot {V c}^{2}}{2 \cdot MRR \cdot \ln (1 - (\frac{V c}{V 0}))}

Go Input power supply to achieve given MRR

V 0 = \frac{V c}{1 - \exp (- \frac{K mrr \cdot {V c}^{2}}{2 \cdot R c \cdot Z w})}

Go Metal removal rate from volume of crater

Z w = V \cdot f c

How to Evaluate Material removal rate, MRR?

Material removal rate, MRR evaluator uses Material Removal Rate = -(Proportionality Constant of MRR*Voltage at any Time t^2)/(2*Resistance of the Charging Circuit*ln(1-(Voltage at any Time t/Voltage of Power Supply))) to evaluate the Material Removal Rate, The Material removal rate, MRR formula is defined as material removal rate is the rate at which the material is removed from the work metal. Material Removal Rate is denoted by MRR symbol.

How to evaluate Material removal rate, MRR using this online evaluator? To use this online evaluator for Material removal rate, MRR, enter Proportionality Constant of MRR (K_mrr), Voltage at any Time t (V_c), Resistance of the Charging Circuit (R_c) & Voltage of Power Supply (V₀) and hit the calculate button.

FAQs on Material removal rate, MRR

What is the formula to find Material removal rate, MRR?

The formula of Material removal rate, MRR is expressed as Material Removal Rate = -(Proportionality Constant of MRR*Voltage at any Time t^2)/(2*Resistance of the Charging Circuit*ln(1-(Voltage at any Time t/Voltage of Power Supply))). Here is an example- 7.5E+7 = -(1.5*2^2)/(2*0.18*ln(1-(2/10))).

How to calculate Material removal rate, MRR?

With Proportionality Constant of MRR (K_mrr), Voltage at any Time t (V_c), Resistance of the Charging Circuit (R_c) & Voltage of Power Supply (V₀) we can find Material removal rate, MRR using the formula - Material Removal Rate = -(Proportionality Constant of MRR*Voltage at any Time t^2)/(2*Resistance of the Charging Circuit*ln(1-(Voltage at any Time t/Voltage of Power Supply))). This formula also uses Natural Logarithm (ln) function(s).

Can the Material removal rate, MRR be negative?

No, the Material removal rate, MRR, measured in Mass Flow Rate cannot be negative.

Which unit is used to measure Material removal rate, MRR?

Material removal rate, MRR is usually measured using the Gram per Second[g/s] for Mass Flow Rate. Kilogram per Second[g/s], Gram per Hour[g/s], Milligram per Minute[g/s] are the few other units in which Material removal rate, MRR can be measured.

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Material removal rate, MRR Formula

Material removal rate, MRR Example

Material removal rate, MRR Solution

Material removal rate, MRR Formula Elements

Other formulas in Material removal rate (MRR) category

How to Evaluate Material removal rate, MRR?

FAQs on Material removal rate, MRR

Variable Name