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Pressure given Pressure Response Factor Formula

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Pressure is the force exerted by water or other fluids beneath the earth's surface or within coastal areas. Check FAQs

P ss = ρ \cdot [g] \cdot (((\frac{H}{2}) \cdot \cos (θ) \cdot k) - Z)

P_ss - Pressure?ρ - Mass Density?H - Wave Height?θ - Phase Angle?k - Pressure Response Factor?Z - Seabed Elevation?[g] - Gravitational acceleration on Earth?

Pressure given Pressure Response Factor Example

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Here is how the Pressure given Pressure Response Factor equation looks like with Values.

Here is how the Pressure given Pressure Response Factor equation looks like with Units.

Here is how the Pressure given Pressure Response Factor equation looks like.

801.7329 = 997 \cdot 9.8066 \cdot (((\frac{3}{2}) \cdot \cos (60) \cdot 1.32) - 0.908)

801.7329Pa = 997kg/m³ \cdot 9.8066m/s² \cdot (((\frac{3m}{2}) \cdot \cos (60°) \cdot 1.32) - 0.908)

801.7329 = 997 \cdot 9.8066 \cdot (((\frac{3}{2}) \cdot \cos (60) \cdot 1.32) - 0.908)

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Pressure given Pressure Response Factor Solution

Follow our step by step solution on how to calculate Pressure given Pressure Response Factor?

FIRST Step Consider the formula

P ss = ρ \cdot [g] \cdot (((\frac{H}{2}) \cdot \cos (θ) \cdot k) - Z)

Next Step Substitute values of Variables

∴

P ss = 997kg/m³ \cdot [g] \cdot (((\frac{3m}{2}) \cdot \cos (60°) \cdot 1.32) - 0.908)

Next Step Substitute values of Constants

∴

P ss = 997kg/m³ \cdot 9.8066m/s² \cdot (((\frac{3m}{2}) \cdot \cos (60°) \cdot 1.32) - 0.908)

Next Step Convert Units

∴

P ss = 997kg/m³ \cdot 9.8066m/s² \cdot (((\frac{3m}{2}) \cdot \cos (1.0472rad) \cdot 1.32) - 0.908)

Next Step Prepare to Evaluate

∴

P ss = 997 \cdot 9.8066 \cdot (((\frac{3}{2}) \cdot \cos (1.0472) \cdot 1.32) - 0.908)

Next Step Evaluate

∴

P ss = 801.732864103315Pa

LAST Step Rounding Answer

∴

P ss = 801.7329Pa

Pressure given Pressure Response Factor Formula Elements

Variables

Constants

Functions

Pressure

Pressure is the force exerted by water or other fluids beneath the earth's surface or within coastal areas.

Symbol: P_ss

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure

Mass Density

Mass Density is crucial for understanding the distribution of pressures exerted by overlying soil or water layers on underground structures like foundations, tunnels, or pipelines.

Symbol: ρ

Measurement: Mass ConcentrationUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Mass Density

Wave Height

Wave Height is the vertical distance between the crest and the trough of a wave. Higher wave heights correspond to greater wave forces, which leads to increased structural loading.

Symbol: H

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wave Height

Phase Angle

Phase Angle is the angular displacement between the oscillations of water level and pore water pressure within the seabed or coastal structures.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Phase Angle

Pressure Response Factor

Pressure Response Factor quantifies how the pore pressure within the soil or rock changes in response to changes in applied stress.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Pressure Response Factor

Seabed Elevation

Seabed Elevation impact on the distribution of subsurface pressures in coastal areas. Variations in seabed elevation can affect the flow of groundwater.

Symbol: Z

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Seabed Elevation

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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Pressure Reference Factor category

Go Pressure taken as Gauge Pressure relative to Wave Mechanics

p = (ρ \cdot [g] \cdot H \cdot \cosh (2 \cdot π \cdot \frac{D z'+d'}{λ})) \cdot \frac{\cos (θ)}{2 \cdot \cosh (2 \cdot π \cdot \frac{d}{λ})} - (ρ \cdot [g] \cdot Z)

Go Pressure Reference Factor

K = \frac{\cosh (2 \cdot π \cdot \frac{D Z+d}{λ})}{\cosh (2 \cdot π \cdot \frac{d}{λ})}

Go Pressure Response Factor at Bottom

K = \frac{1}{\cosh (2 \cdot π \cdot \frac{d}{λ})}

Go Wavelength for Pressure Response Factor at bottom

λ = 2 \cdot π \cdot \frac{d}{a \cosh (\frac{1}{K})}

How to Evaluate Pressure given Pressure Response Factor?

Pressure given Pressure Response Factor evaluator uses Pressure = Mass Density*[g]*(((Wave Height/2)*cos(Phase Angle)*Pressure Response Factor)-Seabed Elevation) to evaluate the Pressure, The Pressure given Pressure Response Factor Formula is defined as the pressure relative to atmospheric pressure. Gauge pressure is positive for pressures above atmospheric pressure, and negative for pressures below it. Pressure is denoted by P_ss symbol.

How to evaluate Pressure given Pressure Response Factor using this online evaluator? To use this online evaluator for Pressure given Pressure Response Factor, enter Mass Density (ρ), Wave Height (H), Phase Angle (θ), Pressure Response Factor (k) & Seabed Elevation (Z) and hit the calculate button.

FAQs on Pressure given Pressure Response Factor

What is the formula to find Pressure given Pressure Response Factor?

The formula of Pressure given Pressure Response Factor is expressed as Pressure = Mass Density*[g]*(((Wave Height/2)*cos(Phase Angle)*Pressure Response Factor)-Seabed Elevation). Here is an example- 801.7329 = 997*[g]*(((3/2)*cos(1.0471975511964)*1.32)-0.908).

How to calculate Pressure given Pressure Response Factor?

With Mass Density (ρ), Wave Height (H), Phase Angle (θ), Pressure Response Factor (k) & Seabed Elevation (Z) we can find Pressure given Pressure Response Factor using the formula - Pressure = Mass Density*[g]*(((Wave Height/2)*cos(Phase Angle)*Pressure Response Factor)-Seabed Elevation). This formula also uses Gravitational acceleration on Earth constant(s) and Cosine (cos) function(s).

Can the Pressure given Pressure Response Factor be negative?

Yes, the Pressure given Pressure Response Factor, measured in Pressure can be negative.

Which unit is used to measure Pressure given Pressure Response Factor?

Pressure given Pressure Response Factor 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 given Pressure Response Factor can be measured.

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Pressure given Pressure Response Factor Formula

Pressure given Pressure Response Factor Example

Pressure given Pressure Response Factor Solution

Pressure given Pressure Response Factor Formula Elements

Other formulas in Pressure Reference Factor category

How to Evaluate Pressure given Pressure Response Factor?

FAQs on Pressure given Pressure Response Factor

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