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Pressure taken as Gauge Pressure relative to Wave Mechanics Formula

GoPressure given Height of Surface Waves based on Subsurface Measurements Formula

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Sub Surface Pressure is the pressure exerted by the overlying water column and any additional pressures such as atmospheric pressure at a specific depth below the ocean. Check FAQs

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)

p - Sub Surface Pressure?ρ - Mass Density?H - Wave Height?D_z'+d' - Upper Bottom Distance?λ - Wavelength?θ - Phase Angle?d - Water Depth?Z - Seabed Elevation?[g] - Gravitational acceleration on Earth?[g] - Gravitational acceleration on Earth?π - Archimedes' constant?

Pressure taken as Gauge Pressure relative to Wave Mechanics Example

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Here is how the Pressure taken as Gauge Pressure relative to Wave Mechanics equation looks like with Values.

Here is how the Pressure taken as Gauge Pressure relative to Wave Mechanics equation looks like with Units.

Here is how the Pressure taken as Gauge Pressure relative to Wave Mechanics equation looks like.

320.2747 = (997 \cdot 9.8066 \cdot 3 \cdot \cosh (2 \cdot 3.1416 \cdot \frac{19.31}{26.8})) \cdot \frac{\cos (60)}{2 \cdot \cosh (2 \cdot 3.1416 \cdot \frac{1.05}{26.8})} - (997 \cdot 9.8066 \cdot 0.908)

320.2747kPa = (997kg/m³ \cdot 9.8066m/s² \cdot 3m \cdot \cosh (2 \cdot 3.1416 \cdot \frac{19.31m}{26.8m})) \cdot \frac{\cos (60°)}{2 \cdot \cosh (2 \cdot 3.1416 \cdot \frac{1.05m}{26.8m})} - (997kg/m³ \cdot 9.8066m/s² \cdot 0.908)

320.2747 = (997 \cdot 9.8066 \cdot 3 \cdot \cosh (2 \cdot 3.1416 \cdot \frac{19.31}{26.8})) \cdot \frac{\cos (60)}{2 \cdot \cosh (2 \cdot 3.1416 \cdot \frac{1.05}{26.8})} - (997 \cdot 9.8066 \cdot 0.908)

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Pressure taken as Gauge Pressure relative to Wave Mechanics Solution

Follow our step by step solution on how to calculate Pressure taken as Gauge Pressure relative to Wave Mechanics?

FIRST Step Consider the formula

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)

Next Step Substitute values of Variables

∴

p = (997kg/m³ \cdot [g] \cdot 3m \cdot \cosh (2 \cdot π \cdot \frac{19.31m}{26.8m})) \cdot \frac{\cos (60°)}{2 \cdot \cosh (2 \cdot π \cdot \frac{1.05m}{26.8m})} - (997kg/m³ \cdot [g] \cdot 0.908)

Next Step Substitute values of Constants

∴

p = (997kg/m³ \cdot 9.8066m/s² \cdot 3m \cdot \cosh (2 \cdot 3.1416 \cdot \frac{19.31m}{26.8m})) \cdot \frac{\cos (60°)}{2 \cdot \cosh (2 \cdot 3.1416 \cdot \frac{1.05m}{26.8m})} - (997kg/m³ \cdot 9.8066m/s² \cdot 0.908)

Next Step Convert Units

∴

p = (997kg/m³ \cdot 9.8066m/s² \cdot 3m \cdot \cosh (2 \cdot 3.1416 \cdot \frac{19.31m}{26.8m})) \cdot \frac{\cos (1.0472rad)}{2 \cdot \cosh (2 \cdot 3.1416 \cdot \frac{1.05m}{26.8m})} - (997kg/m³ \cdot 9.8066m/s² \cdot 0.908)

Next Step Prepare to Evaluate

∴

p = (997 \cdot 9.8066 \cdot 3 \cdot \cosh (2 \cdot 3.1416 \cdot \frac{19.31}{26.8})) \cdot \frac{\cos (1.0472)}{2 \cdot \cosh (2 \cdot 3.1416 \cdot \frac{1.05}{26.8})} - (997 \cdot 9.8066 \cdot 0.908)

Next Step Evaluate

∴

p = 320274.706440574Pa

Next Step Convert to Output's Unit

∴

p = 320.274706440574kPa

LAST Step Rounding Answer

∴

p = 320.2747kPa

Pressure taken as Gauge Pressure relative to Wave Mechanics Formula Elements

Variables

Constants

Functions

Sub Surface Pressure

Sub Surface Pressure is the pressure exerted by the overlying water column and any additional pressures such as atmospheric pressure at a specific depth below the ocean.

Symbol: p

Measurement: PressureUnit: kPa

Note: Value can be positive or negative.

Formulas to find Sub Surface 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

Upper Bottom Distance

Upper Bottom Distance is the vertical distance between the seabed or ocean floor and the water surface. It holds significant importance, especially in relation to subsurface pressure.

Symbol: D_z'+d'

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Upper Bottom Distance

Wavelength

Wavelength is the distance between successive peaks or troughs of a wave. It is crucial in understanding the behavior of waves, particularly in relation to subsurface pressure.

Symbol: λ

Measurement: WavelengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wavelength

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

Water Depth

Water Depth is vertical distance from the surface of a body of water to its bottom, it is a critical parameter for understanding the characteristics and behaviors of the marine environment.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Water Depth

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

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

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

cos

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

Syntax: cos(Angle)

cosh

The hyperbolic cosine function is a mathematical function that is defined as the ratio of the sum of the exponential functions of x and negative x to 2.

Syntax: cosh(Number)

Other Formulas to find Sub Surface Pressure

Go Pressure given Height of Surface Waves based on Subsurface Measurements

p = (\frac{η \cdot ρ \cdot [g] \cdot K}{f}) - (ρ \cdot [g] \cdot z'')

Other formulas in Pressure Reference Factor category

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 given Pressure Response Factor

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

How to Evaluate Pressure taken as Gauge Pressure relative to Wave Mechanics?

Pressure taken as Gauge Pressure relative to Wave Mechanics evaluator uses Sub Surface Pressure = (Mass Density*[g]*Wave Height*cosh(2*pi*(Upper Bottom Distance)/Wavelength))*cos(Phase Angle)/(2*cosh(2*pi*Water Depth/Wavelength))-(Mass Density*[g]*Seabed Elevation) to evaluate the Sub Surface Pressure, The Pressure taken as Gauge Pressure relative to Wave Mechanics 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. Sub Surface Pressure is denoted by p symbol.

How to evaluate Pressure taken as Gauge Pressure relative to Wave Mechanics using this online evaluator? To use this online evaluator for Pressure taken as Gauge Pressure relative to Wave Mechanics, enter Mass Density (ρ), Wave Height (H), Upper Bottom Distance (D_z'+d'), Wavelength (λ), Phase Angle (θ), Water Depth (d) & Seabed Elevation (Z) and hit the calculate button.

FAQs on Pressure taken as Gauge Pressure relative to Wave Mechanics

What is the formula to find Pressure taken as Gauge Pressure relative to Wave Mechanics?

The formula of Pressure taken as Gauge Pressure relative to Wave Mechanics is expressed as Sub Surface Pressure = (Mass Density*[g]*Wave Height*cosh(2*pi*(Upper Bottom Distance)/Wavelength))*cos(Phase Angle)/(2*cosh(2*pi*Water Depth/Wavelength))-(Mass Density*[g]*Seabed Elevation). Here is an example- 0.320275 = (997*[g]*3*cosh(2*pi*(19.31)/26.8))*cos(1.0471975511964)/(2*cosh(2*pi*1.05/26.8))-(997*[g]*0.908).

How to calculate Pressure taken as Gauge Pressure relative to Wave Mechanics?

With Mass Density (ρ), Wave Height (H), Upper Bottom Distance (D_z'+d'), Wavelength (λ), Phase Angle (θ), Water Depth (d) & Seabed Elevation (Z) we can find Pressure taken as Gauge Pressure relative to Wave Mechanics using the formula - Sub Surface Pressure = (Mass Density*[g]*Wave Height*cosh(2*pi*(Upper Bottom Distance)/Wavelength))*cos(Phase Angle)/(2*cosh(2*pi*Water Depth/Wavelength))-(Mass Density*[g]*Seabed Elevation). This formula also uses Gravitational acceleration on Earth, Gravitational acceleration on Earth, Archimedes' constant and , Cosine (cos), Hyperbolic Cosine (cosh) function(s).

What are the other ways to Calculate Sub Surface Pressure?

Here are the different ways to Calculate Sub Surface Pressure-

Sub Surface Pressure=((Water Surface Elevation*Mass Density*[g]*Pressure Factor)/Correction Factor)-(Mass Density*[g]*Depth of Pressure Gauge)

Can the Pressure taken as Gauge Pressure relative to Wave Mechanics be negative?

Yes, the Pressure taken as Gauge Pressure relative to Wave Mechanics, measured in Pressure can be negative.

Which unit is used to measure Pressure taken as Gauge Pressure relative to Wave Mechanics?

Pressure taken as Gauge Pressure relative to Wave Mechanics is usually measured using the Kilopascal[kPa] for Pressure. Pascal[kPa], Bar[kPa], Pound Per Square Inch[kPa] are the few other units in which Pressure taken as Gauge Pressure relative to Wave Mechanics can be measured.

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Pressure taken as Gauge Pressure relative to Wave Mechanics Formula

​GoPressure given Height of Surface Waves based on Subsurface Measurements Formula

Pressure taken as Gauge Pressure relative to Wave Mechanics Example

Pressure taken as Gauge Pressure relative to Wave Mechanics Solution

Pressure taken as Gauge Pressure relative to Wave Mechanics Formula Elements

Other Formulas to find Sub Surface Pressure

Other formulas in Pressure Reference Factor category

How to Evaluate Pressure taken as Gauge Pressure relative to Wave Mechanics?

FAQs on Pressure taken as Gauge Pressure relative to Wave Mechanics

Variable Name

GoPressure given Height of Surface Waves based on Subsurface Measurements Formula