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Input power supply to achieve given MRR Formula

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

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

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

Input power supply to achieve given MRR Example

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Here is how the Input power supply to achieve given MRR equation looks like with Values.

Here is how the Input power supply to achieve given MRR equation looks like with Units.

Here is how the Input power supply to achieve given MRR equation looks like.

10.6347 = \frac{2}{1 - \exp (- \frac{1.5 \cdot 2^{2}}{2 \cdot 0.18 \cdot 80})}

10.6347V = \frac{2V}{1 - \exp (- \frac{1.5 \cdot {2V}^{2}}{2 \cdot 0.18Ω \cdot 80m³/s})}

10.6347 = \frac{2}{1 - \exp (- \frac{1.5 \cdot 2^{2}}{2 \cdot 0.18 \cdot 80})}

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Input power supply to achieve given MRR Solution

Follow our step by step solution on how to calculate Input power supply to achieve given MRR?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V 0 = \frac{2V}{1 - \exp (- \frac{1.5 \cdot {2V}^{2}}{2 \cdot 0.18Ω \cdot 80m³/s})}

Next Step Prepare to Evaluate

∴

V 0 = \frac{2}{1 - \exp (- \frac{1.5 \cdot 2^{2}}{2 \cdot 0.18 \cdot 80})}

Next Step Evaluate

∴

V 0 = 10.6346971308021V

LAST Step Rounding Answer

∴

V 0 = 10.6347V

Input power supply to achieve given MRR Formula Elements

Variables

Functions

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

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

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

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

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_w

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Metal Removal Rate

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(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 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 Metal removal rate from volume of crater

Z w = V \cdot f c

How to Evaluate Input power supply to achieve given MRR?

Input power supply to achieve given MRR evaluator uses Voltage of Power Supply = Voltage at any Time t/(1-exp(-(Proportionality Constant of MRR*Voltage at any Time t^2)/(2*Resistance of the Charging Circuit*Metal Removal Rate))) to evaluate the Voltage of Power Supply, The Input power supply to achieve given MRR formula is defined as the voltage of the power supply used to charge the relaxation circuit used to provide a spark in unconventional EDM. Voltage of Power Supply is denoted by V₀ symbol.

How to evaluate Input power supply to achieve given MRR using this online evaluator? To use this online evaluator for Input power supply to achieve given MRR, enter Voltage at any Time t (V_c), Proportionality Constant of MRR (K_mrr), Resistance of the Charging Circuit (R_c) & Metal Removal Rate (Z_w) and hit the calculate button.

FAQs on Input power supply to achieve given MRR

What is the formula to find Input power supply to achieve given MRR?

The formula of Input power supply to achieve given MRR is expressed as Voltage of Power Supply = Voltage at any Time t/(1-exp(-(Proportionality Constant of MRR*Voltage at any Time t^2)/(2*Resistance of the Charging Circuit*Metal Removal Rate))). Here is an example- 2 = 2/(1-exp(-(1.5*2^2)/(2*0.18*80))).

How to calculate Input power supply to achieve given MRR?

With Voltage at any Time t (V_c), Proportionality Constant of MRR (K_mrr), Resistance of the Charging Circuit (R_c) & Metal Removal Rate (Z_w) we can find Input power supply to achieve given MRR using the formula - Voltage of Power Supply = Voltage at any Time t/(1-exp(-(Proportionality Constant of MRR*Voltage at any Time t^2)/(2*Resistance of the Charging Circuit*Metal Removal Rate))). This formula also uses Exponential Growth (exp) function(s).

Can the Input power supply to achieve given MRR be negative?

Yes, the Input power supply to achieve given MRR, measured in Electric Potential can be negative.

Which unit is used to measure Input power supply to achieve given MRR?

Input power supply to achieve given MRR is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Input power supply to achieve given MRR can be measured.

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Input power supply to achieve given MRR Formula

Input power supply to achieve given MRR Example

Input power supply to achieve given MRR Solution

Input power supply to achieve given MRR Formula Elements

Other formulas in Material removal rate (MRR) category

How to Evaluate Input power supply to achieve given MRR?

FAQs on Input power supply to achieve given MRR

Variable Name