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Diameter of crater Formula

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Larger diameter is the bigger diameter of hole or other things. Check FAQs

D = \sqrt{\frac{8 \cdot (V - (\frac{π}{6}) \cdot H^{3})}{π \cdot H}}

D - Larger Diameter?V - Volume of Crater?H - Depth of Machined Surface?π - Archimedes' constant?

Diameter of crater Example

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Here is how the Diameter of crater equation looks like with Values.

Here is how the Diameter of crater equation looks like with Units.

Here is how the Diameter of crater equation looks like.

19.0346 = \sqrt{\frac{8 \cdot (3 - (\frac{3.1416}{6}) \cdot 13^{3})}{3.1416 \cdot 13}}

19.0346mm = \sqrt{\frac{8 \cdot (3mm² - (\frac{3.1416}{6}) \cdot {13mm}^{3})}{3.1416 \cdot 13mm}}

19.0346 = \sqrt{\frac{8 \cdot (3 - (\frac{3.1416}{6}) \cdot 13^{3})}{3.1416 \cdot 13}}

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Diameter of crater Solution

Follow our step by step solution on how to calculate Diameter of crater?

FIRST Step Consider the formula

D = \sqrt{\frac{8 \cdot (V - (\frac{π}{6}) \cdot H^{3})}{π \cdot H}}

Next Step Substitute values of Variables

∴

D = \sqrt{\frac{8 \cdot (3mm² - (\frac{π}{6}) \cdot {13mm}^{3})}{π \cdot 13mm}}

Next Step Substitute values of Constants

∴

D = \sqrt{\frac{8 \cdot (3mm² - (\frac{3.1416}{6}) \cdot {13mm}^{3})}{3.1416 \cdot 13mm}}

Next Step Convert Units

∴

D = \sqrt{\frac{8 \cdot (3E-6m² - (\frac{3.1416}{6}) \cdot {0.013m}^{3})}{3.1416 \cdot 0.013m}}

Next Step Prepare to Evaluate

∴

D = \sqrt{\frac{8 \cdot (3E-6 - (\frac{3.1416}{6}) \cdot {0.013}^{3})}{3.1416 \cdot 0.013}}

Next Step Evaluate

∴

D = 0.0190345918609689m

Next Step Convert to Output's Unit

∴

D = 19.0345918609689mm

LAST Step Rounding Answer

∴

D = 19.0346mm

Diameter of crater Formula Elements

Variables

Constants

Functions

Larger Diameter

Larger diameter is the bigger diameter of hole or other things.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Larger Diameter

Volume of Crater

Volume of crater is defined as the Volume of crater made by an electric spark during EDM.

Symbol: V

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Volume of Crater

Depth of Machined Surface

Depth of machined surface is the how deep a surface is machined from the un-machined surface.

Symbol: H

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Machined Surface

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Volume of crater made by an electric spark category

Go Volume of crater related to mean current setting

V = 3.25 \cdot \frac{10^{6}}{S ut} \cdot τ s \cdot {I m}^{\frac{3}{2}}

Go Mean current setting from crater volume

I m = {(\frac{V \cdot S ut}{3.25 \cdot τ s})}^{\frac{2}{3}}

Go Discharge duration of single pulse

τ s = \frac{V \cdot S ut}{3.25 \cdot {I m}^{\frac{3}{2}}}

Go Ultimate tensile strength of work piece material

S ut = \frac{3.25 \cdot τ s \cdot {I m}^{\frac{3}{2}}}{V}

How to Evaluate Diameter of crater?

Diameter of crater evaluator uses Larger Diameter = sqrt((8*(Volume of Crater-(pi/6)*Depth of Machined Surface^3))/(pi*Depth of Machined Surface)) to evaluate the Larger Diameter, The Diameter of crater formula is defined as the diameter of the crater formed from a single spark from EDM. Larger Diameter is denoted by D symbol.

How to evaluate Diameter of crater using this online evaluator? To use this online evaluator for Diameter of crater, enter Volume of Crater (V) & Depth of Machined Surface (H) and hit the calculate button.

FAQs on Diameter of crater

What is the formula to find Diameter of crater?

The formula of Diameter of crater is expressed as Larger Diameter = sqrt((8*(Volume of Crater-(pi/6)*Depth of Machined Surface^3))/(pi*Depth of Machined Surface)). Here is an example- 19034.59 = sqrt((8*(3E-06-(pi/6)*0.013^3))/(pi*0.013)).

How to calculate Diameter of crater?

With Volume of Crater (V) & Depth of Machined Surface (H) we can find Diameter of crater using the formula - Larger Diameter = sqrt((8*(Volume of Crater-(pi/6)*Depth of Machined Surface^3))/(pi*Depth of Machined Surface)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the Diameter of crater be negative?

No, the Diameter of crater, measured in Length cannot be negative.

Which unit is used to measure Diameter of crater?

Diameter of crater is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of crater can be measured.

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Diameter of crater Formula

Diameter of crater Example

Diameter of crater Solution

Diameter of crater Formula Elements

Other formulas in Volume of crater made by an electric spark category

How to Evaluate Diameter of crater?

FAQs on Diameter of crater

Variable Name