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Proportionality constant for MRR Formula

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

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

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

Proportionality constant for MRR Example

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Here is how the Proportionality constant for MRR equation looks like with Values.

Here is how the Proportionality constant for MRR equation looks like with Units.

Here is how the Proportionality constant for MRR equation looks like.

1.5 = - \frac{74690 \cdot (2 \cdot 0.18 \cdot \ln (1 - (\frac{2}{10})))}{2^{2}}

1.5 = - \frac{74690g/s \cdot (2 \cdot 0.18Ω \cdot \ln (1 - (\frac{2V}{10V})))}{{2V}^{2}}

1.5 = - \frac{74690 \cdot (2 \cdot 0.18 \cdot \ln (1 - (\frac{2}{10})))}{2^{2}}

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Proportionality constant for MRR Solution

Follow our step by step solution on how to calculate Proportionality constant for MRR?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K mrr = - \frac{74690g/s \cdot (2 \cdot 0.18Ω \cdot \ln (1 - (\frac{2V}{10V})))}{{2V}^{2}}

Next Step Convert Units

∴

K mrr = - \frac{74.69kg/s \cdot (2 \cdot 0.18Ω \cdot \ln (1 - (\frac{2V}{10V})))}{{2V}^{2}}

Next Step Prepare to Evaluate

∴

K mrr = - \frac{74.69 \cdot (2 \cdot 0.18 \cdot \ln (1 - (\frac{2}{10})))}{2^{2}}

Next Step Evaluate

∴

K mrr = 1.49999326628925

LAST Step Rounding Answer

∴

K mrr = 1.5

Proportionality constant for MRR Formula Elements

Variables

Functions

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

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

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 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

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 Material removal rate, MRR

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

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 Proportionality constant for MRR?

Proportionality constant for MRR evaluator uses Proportionality Constant of MRR = -(Material Removal Rate*(2*Resistance of the Charging Circuit*ln(1-(Voltage at any Time t/Voltage of Power Supply))))/Voltage at any Time t^2 to evaluate the Proportionality Constant of MRR, The Proportionality constant for MRR formula is defined as the constant introduced to remove the proportionality from MRR equation. Proportionality Constant of MRR is denoted by K_mrr symbol.

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

FAQs on Proportionality constant for MRR

What is the formula to find Proportionality constant for MRR?

The formula of Proportionality constant for MRR is expressed as Proportionality Constant of MRR = -(Material Removal Rate*(2*Resistance of the Charging Circuit*ln(1-(Voltage at any Time t/Voltage of Power Supply))))/Voltage at any Time t^2. Here is an example- 5.8E-6 = -(74.69*(2*0.18*ln(1-(2/10))))/2^2.

How to calculate Proportionality constant for MRR?

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

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Proportionality constant for MRR Formula

Proportionality constant for MRR Example

Proportionality constant for MRR Solution

Proportionality constant for MRR Formula Elements

Other formulas in Material removal rate (MRR) category

How to Evaluate Proportionality constant for MRR?

FAQs on Proportionality constant for MRR

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