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Pressure at any Point with Origin at Free Surface Formula

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Absolute Pressure refers to the total pressure exerted on a system, measured relative to a perfect vacuum (zero pressure). Check FAQs

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

P_Abs - Absolute Pressure?P_atm - Atmospheric Pressure?y - Specific Weight of Liquid?ω - Angular Velocity?d_r - Radial Distance from Central Axis?h - Height of Crack?[g] - Gravitational acceleration on Earth?

Pressure at any Point with Origin at Free Surface Example

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Here is how the Pressure at any Point with Origin at Free Surface equation looks like with Values.

Here is how the Pressure at any Point with Origin at Free Surface equation looks like with Units.

Here is how the Pressure at any Point with Origin at Free Surface equation looks like.

101785.1708 = 101325 + (\frac{9.81}{9.8066}) \cdot (0.5 \cdot {(2 \cdot 0.5)}^{2}) - 2 \cdot 20000

101785.1708Pa = 101325Pa + (\frac{9.81kN/m³}{9.8066m/s²}) \cdot (0.5 \cdot {(2rad/s \cdot 0.5m)}^{2}) - 2rad/s \cdot 20000mm

101785.1708 = 101325 + (\frac{9.81}{9.8066}) \cdot (0.5 \cdot {(2 \cdot 0.5)}^{2}) - 2 \cdot 20000

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Pressure at any Point with Origin at Free Surface Solution

Follow our step by step solution on how to calculate Pressure at any Point with Origin at Free Surface?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P Abs = 101325Pa + (\frac{9.81kN/m³}{[g]}) \cdot (0.5 \cdot {(2rad/s \cdot 0.5m)}^{2}) - 2rad/s \cdot 20000mm

Next Step Substitute values of Constants

∴

P Abs = 101325Pa + (\frac{9.81kN/m³}{9.8066m/s²}) \cdot (0.5 \cdot {(2rad/s \cdot 0.5m)}^{2}) - 2rad/s \cdot 20000mm

Next Step Convert Units

∴

P Abs = 101325Pa + (\frac{9810N/m³}{9.8066m/s²}) \cdot (0.5 \cdot {(2rad/s \cdot 0.5m)}^{2}) - 2rad/s \cdot 20m

Next Step Prepare to Evaluate

∴

P Abs = 101325 + (\frac{9810}{9.8066}) \cdot (0.5 \cdot {(2 \cdot 0.5)}^{2}) - 2 \cdot 20

Next Step Evaluate

∴

P Abs = 101785.170802466Pa

LAST Step Rounding Answer

∴

P Abs = 101785.1708Pa

Pressure at any Point with Origin at Free Surface Formula Elements

Variables

Constants

Absolute Pressure

Absolute Pressure refers to the total pressure exerted on a system, measured relative to a perfect vacuum (zero pressure).

Symbol: P_Abs

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Absolute Pressure

Atmospheric Pressure

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

Symbol: P_atm

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Atmospheric Pressure

Specific Weight of Liquid

The Specific weight of liquid is also known as the unit weight, is the weight per unit volume of the liquid. For Example - Specific weight of water on Earth at 4°C is 9.807 kN/m3 or 62.43 lbf/ft3.

Symbol: y

Measurement: Specific WeightUnit: kN/m³

Note: Value can be positive or negative.

Formulas to find Specific Weight of Liquid

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

Radial Distance from Central Axis

Radial Distance from Central Axis refers to the distance between whisker sensor's pivot point to whisker-object contact point.

Symbol: d_r

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radial Distance from Central Axis

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

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 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 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}

Go Equation of Free Surface of liquid

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

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)

How to Evaluate Pressure at any Point with Origin at Free Surface?

Pressure at any Point with Origin at Free Surface evaluator uses Absolute Pressure = Atmospheric Pressure+(Specific Weight of Liquid/[g])*(0.5*(Angular Velocity*Radial Distance from Central Axis)^2)-Angular Velocity*Height of Crack to evaluate the Absolute Pressure, The Pressure at any Point with Origin at Free Surface formula is defined as the pressure in rotating fluid about the axis. Absolute Pressure is denoted by P_Abs symbol.

How to evaluate Pressure at any Point with Origin at Free Surface using this online evaluator? To use this online evaluator for Pressure at any Point with Origin at Free Surface, enter Atmospheric Pressure (P_atm), Specific Weight of Liquid (y), Angular Velocity (ω), Radial Distance from Central Axis (d_r) & Height of Crack (h) and hit the calculate button.

FAQs on Pressure at any Point with Origin at Free Surface

What is the formula to find Pressure at any Point with Origin at Free Surface?

The formula of Pressure at any Point with Origin at Free Surface is expressed as Absolute Pressure = Atmospheric Pressure+(Specific Weight of Liquid/[g])*(0.5*(Angular Velocity*Radial Distance from Central Axis)^2)-Angular Velocity*Height of Crack. Here is an example- 101785.2 = 101325+(9810/[g])*(0.5*(2*0.5)^2)-2*20.

How to calculate Pressure at any Point with Origin at Free Surface?

With Atmospheric Pressure (P_atm), Specific Weight of Liquid (y), Angular Velocity (ω), Radial Distance from Central Axis (d_r) & Height of Crack (h) we can find Pressure at any Point with Origin at Free Surface using the formula - Absolute Pressure = Atmospheric Pressure+(Specific Weight of Liquid/[g])*(0.5*(Angular Velocity*Radial Distance from Central Axis)^2)-Angular Velocity*Height of Crack. This formula also uses Gravitational acceleration on Earth constant(s).

Can the Pressure at any Point with Origin at Free Surface be negative?

Yes, the Pressure at any Point with Origin at Free Surface, measured in Pressure can be negative.

Which unit is used to measure Pressure at any Point with Origin at Free Surface?

Pressure at any Point with Origin at Free Surface is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Pressure at any Point with Origin at Free Surface can be measured.

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Pressure at any Point with Origin at Free Surface Formula

Pressure at any Point with Origin at Free Surface Example

Pressure at any Point with Origin at Free Surface Solution

Pressure at any Point with Origin at Free Surface Formula Elements

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

How to Evaluate Pressure at any Point with Origin at Free Surface?

FAQs on Pressure at any Point with Origin at Free Surface

Variable Name