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Radius of electrode Formula

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Radius of the electrodes is defined as the radius of the electrode used for unconventional machining by EDM. Check FAQs

R 0 = R 1 \cdot \exp (\frac{π \cdot (P 1 - P atm) \cdot h^{3}}{Q \cdot 6 \cdot μ v})

R₀ - Radius of the Electrodes?R₁ - Radius of Flushing Hole?P₁ - Pressure in Flushing Hole?P_atm - Atmospheric Pressure?h - Gap Spacing?Q - Flow Rate of the Electrolyte?μ_v - Dynamic Viscosity?π - Archimedes' constant?

Radius of electrode Example

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Here is how the Radius of electrode equation looks like with Values.

Here is how the Radius of electrode equation looks like with Units.

Here is how the Radius of electrode equation looks like.

5.0251 = 4 \cdot \exp (\frac{3.1416 \cdot (11 - 10) \cdot 2^{3}}{0.18 \cdot 6 \cdot 10.2})

5.0251cm = 4cm \cdot \exp (\frac{3.1416 \cdot (11N/cm² - 10N/cm²) \cdot {2cm}^{3}}{0.18m³/s \cdot 6 \cdot 10.2P})

5.0251 = 4 \cdot \exp (\frac{3.1416 \cdot (11 - 10) \cdot 2^{3}}{0.18 \cdot 6 \cdot 10.2})

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Radius of electrode Solution

Follow our step by step solution on how to calculate Radius of electrode?

FIRST Step Consider the formula

R 0 = R 1 \cdot \exp (\frac{π \cdot (P 1 - P atm) \cdot h^{3}}{Q \cdot 6 \cdot μ v})

Next Step Substitute values of Variables

∴

R 0 = 4cm \cdot \exp (\frac{π \cdot (11N/cm² - 10N/cm²) \cdot {2cm}^{3}}{0.18m³/s \cdot 6 \cdot 10.2P})

Next Step Substitute values of Constants

∴

R 0 = 4cm \cdot \exp (\frac{3.1416 \cdot (11N/cm² - 10N/cm²) \cdot {2cm}^{3}}{0.18m³/s \cdot 6 \cdot 10.2P})

Next Step Convert Units

∴

R 0 = 0.04m \cdot \exp (\frac{3.1416 \cdot (110000Pa - 100000Pa) \cdot {0.02m}^{3}}{0.18m³/s \cdot 6 \cdot 1.02Pa*s})

Next Step Prepare to Evaluate

∴

R 0 = 0.04 \cdot \exp (\frac{3.1416 \cdot (110000 - 100000) \cdot {0.02}^{3}}{0.18 \cdot 6 \cdot 1.02})

Next Step Evaluate

∴

R 0 = 0.0502508302280387m

Next Step Convert to Output's Unit

∴

R 0 = 5.02508302280387cm

LAST Step Rounding Answer

∴

R 0 = 5.0251cm

Radius of electrode Formula Elements

Variables

Constants

Functions

Radius of the Electrodes

Radius of the electrodes is defined as the radius of the electrode used for unconventional machining by EDM.

Symbol: R₀

Measurement: LengthUnit: cm

Note: Value can be positive or negative.

Formulas to find Radius of the Electrodes

Radius of Flushing Hole

Radius of flushing hole is the radius of flushing hole in EDM.

Symbol: R₁

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Radius of Flushing Hole

Pressure in Flushing Hole

Pressure in Flushing Hole is the pressure in hole during EDM machining.

Symbol: P₁

Measurement: PressureUnit: N/cm²

Note: Value should be greater than 0.

Formulas to find Pressure in Flushing Hole

Atmospheric Pressure

Atmospheric pressure, also known as barometric pressure, is the pressure within the atmosphere of Earth.

Symbol: P_atm

Measurement: PressureUnit: N/cm²

Note: Value can be positive or negative.

Formulas to find Atmospheric Pressure

Gap Spacing

Gap spacing is the width of distance between electrode and work during EDM.

Symbol: h

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Gap Spacing

Flow Rate of the Electrolyte

Flow rate of the electrolyte is the flow rate of the electrolyte used in EDM.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Flow Rate of the Electrolyte

Dynamic Viscosity

The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.

Symbol: μ_v

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 Flow rate of the electrolyte category

Go Flow rate of electrolyte

Q = \frac{π \cdot (P 1 - P atm) \cdot h^{3}}{6 \cdot μ v \cdot \ln (\frac{R 0}{R 1})}

Go Gap spacing

h = {(\frac{Q \cdot 6 \cdot μ v \cdot \ln (\frac{R 0}{R 1})}{π \cdot (P 1 - P atm)})}^{\frac{1}{3}}

How to Evaluate Radius of electrode?

Radius of electrode evaluator uses Radius of the Electrodes = Radius of Flushing Hole*exp((pi*(Pressure in Flushing Hole-Atmospheric Pressure)*Gap Spacing^3)/(Flow Rate of the Electrolyte*6*Dynamic Viscosity)) to evaluate the Radius of the Electrodes, The Radius of electrode formula is defined as radius of electrode used for unconventional machining by EDM. Radius of the Electrodes is denoted by R₀ symbol.

How to evaluate Radius of electrode using this online evaluator? To use this online evaluator for Radius of electrode, enter Radius of Flushing Hole (R₁), Pressure in Flushing Hole (P₁), Atmospheric Pressure (P_atm), Gap Spacing (h), Flow Rate of the Electrolyte (Q) & Dynamic Viscosity (μ_v) and hit the calculate button.

FAQs on Radius of electrode

What is the formula to find Radius of electrode?

The formula of Radius of electrode is expressed as Radius of the Electrodes = Radius of Flushing Hole*exp((pi*(Pressure in Flushing Hole-Atmospheric Pressure)*Gap Spacing^3)/(Flow Rate of the Electrolyte*6*Dynamic Viscosity)). Here is an example- 405.5132 = 0.04*exp((pi*(110000-100000)*0.02^3)/(0.18*6*1.02)).

How to calculate Radius of electrode?

With Radius of Flushing Hole (R₁), Pressure in Flushing Hole (P₁), Atmospheric Pressure (P_atm), Gap Spacing (h), Flow Rate of the Electrolyte (Q) & Dynamic Viscosity (μ_v) we can find Radius of electrode using the formula - Radius of the Electrodes = Radius of Flushing Hole*exp((pi*(Pressure in Flushing Hole-Atmospheric Pressure)*Gap Spacing^3)/(Flow Rate of the Electrolyte*6*Dynamic Viscosity)). This formula also uses Archimedes' constant and Exponential Growth (exp) function(s).

Can the Radius of electrode be negative?

Yes, the Radius of electrode, measured in Length can be negative.

Which unit is used to measure Radius of electrode?

Radius of electrode is usually measured using the Centimeter[cm] for Length. Meter[cm], Millimeter[cm], Kilometer[cm] are the few other units in which Radius of electrode can be measured.

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Radius of electrode Formula

Radius of electrode Example

Radius of electrode Solution

Radius of electrode Formula Elements

Other formulas in Flow rate of the electrolyte category

How to Evaluate Radius of electrode?

FAQs on Radius of electrode

Variable Name