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Equation of Free Surface of liquid Formula

GoVertical Depth given Pressure at any point with Origin at Free Surface Formula

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Height of Crack refers to the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress. Check FAQs

h = \frac{{(ω \cdot d')}^{2}}{2 \cdot [g]}

h - Height of Crack?ω - Angular Velocity?d' - Distance from Center to Point?[g] - Gravitational acceleration on Earth?

Equation of Free Surface of liquid Example

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Here is how the Equation of Free Surface of liquid equation looks like with Values.

Here is how the Equation of Free Surface of liquid equation looks like with Units.

Here is how the Equation of Free Surface of liquid equation looks like.

20394.3243 = \frac{{(2 \cdot 10000)}^{2}}{2 \cdot 9.8066}

20394.3243mm = \frac{{(2rad/s \cdot 10000mm)}^{2}}{2 \cdot 9.8066m/s²}

20394.3243 = \frac{{(2 \cdot 10000)}^{2}}{2 \cdot 9.8066}

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Equation of Free Surface of liquid Solution

Follow our step by step solution on how to calculate Equation of Free Surface of liquid?

FIRST Step Consider the formula

h = \frac{{(ω \cdot d')}^{2}}{2 \cdot [g]}

Next Step Substitute values of Variables

∴

h = \frac{{(2rad/s \cdot 10000mm)}^{2}}{2 \cdot [g]}

Next Step Substitute values of Constants

∴

h = \frac{{(2rad/s \cdot 10000mm)}^{2}}{2 \cdot 9.8066m/s²}

Next Step Convert Units

∴

h = \frac{{(2rad/s \cdot 10m)}^{2}}{2 \cdot 9.8066m/s²}

Next Step Prepare to Evaluate

∴

h = \frac{{(2 \cdot 10)}^{2}}{2 \cdot 9.8066}

Next Step Evaluate

∴

h = 20.3943242595586m

Next Step Convert to Output's Unit

∴

h = 20394.3242595586mm

LAST Step Rounding Answer

∴

h = 20394.3243mm

Equation of Free Surface of liquid Formula Elements

Variables

Constants

Height of Crack

Height of Crack refers to the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Height of Crack

Angular Velocity

The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Velocity

Distance from Center to Point

Distance from center to point refers to the length of line segment measured from the center of a body to a particular point.

Symbol: d'

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Distance from Center to Point

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other Formulas to find Height of Crack

Go Vertical Depth given Pressure at any point with Origin at Free Surface

h = \frac{P atm - P Abs + (\frac{y}{[g]}) \cdot (0.5 \cdot {(ω \cdot d r)}^{2})}{ω}

Other formulas in Cylindrical Vessel Containing Liquid Rotating with its Axis Vertical category

Go Constant Angular Velocity given Equation of Free Surface of Liquid

ω = \sqrt{h \cdot \frac{2 \cdot [g]}{{d'}^{2}}}

Go Atmospheric Pressure given Pressure at any Point with Origin at Free Surface

P atm = P Abs - ((\frac{y}{[g]}) \cdot (0.5 \cdot {(ω \cdot d r)}^{2}) + ω \cdot h)

Go Radial Distance for Pressure at Any Point with Origin at Free Surface

d r = \sqrt{(2 \cdot \frac{[g]}{y} \cdot (ω^{2})) \cdot (P Abs - P atm + y \cdot h)}

Go Pressure at any Point with Origin at Free Surface

P Abs = P atm + (\frac{y}{[g]}) \cdot (0.5 \cdot {(ω \cdot d r)}^{2}) - ω \cdot h

How to Evaluate Equation of Free Surface of liquid?

Equation of Free Surface of liquid evaluator uses Height of Crack = ((Angular Velocity*Distance from Center to Point)^2)/(2*[g]) to evaluate the Height of Crack, The Equation of Free Surface of liquid formula is defined as the general equation of flow of fluid in rotation about vertical axis. Height of Crack is denoted by h symbol.

How to evaluate Equation of Free Surface of liquid using this online evaluator? To use this online evaluator for Equation of Free Surface of liquid, enter Angular Velocity (ω) & Distance from Center to Point (d') and hit the calculate button.

FAQs on Equation of Free Surface of liquid

What is the formula to find Equation of Free Surface of liquid?

The formula of Equation of Free Surface of liquid is expressed as Height of Crack = ((Angular Velocity*Distance from Center to Point)^2)/(2*[g]). Here is an example- 2E+7 = ((2*10)^2)/(2*[g]).

How to calculate Equation of Free Surface of liquid?

With Angular Velocity (ω) & Distance from Center to Point (d') we can find Equation of Free Surface of liquid using the formula - Height of Crack = ((Angular Velocity*Distance from Center to Point)^2)/(2*[g]). This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Height of Crack?

Here are the different ways to Calculate Height of Crack-

Height of Crack=(Atmospheric Pressure-Absolute Pressure+(Specific Weight of Liquid/[g])*(0.5*(Angular Velocity*Radial Distance from Central Axis)^2))/Angular Velocity

Can the Equation of Free Surface of liquid be negative?

No, the Equation of Free Surface of liquid, measured in Length cannot be negative.

Which unit is used to measure Equation of Free Surface of liquid?

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

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