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Depth below SWL of Pressure Gauge Formula

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Depth below the SWL of Pressure Gauge it determines the subsurface pressure the gauge measures, which is essential for understanding the pressure exerted by the water column above the gauge. Check FAQs

z = \frac{(η \cdot ρ \cdot [g] \cdot \frac{k}{f}) - P ss}{ρ \cdot [g]}

z - Depth below the SWL of Pressure Gauge?η - Water Surface Elevation?ρ - Mass Density?k - Pressure Response Factor?f - Correction Factor?P_ss - Pressure?[g] - Gravitational acceleration on Earth?[g] - Gravitational acceleration on Earth?

Depth below SWL of Pressure Gauge Example

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Here is how the Depth below SWL of Pressure Gauge equation looks like with Values.

Here is how the Depth below SWL of Pressure Gauge equation looks like with Units.

Here is how the Depth below SWL of Pressure Gauge equation looks like.

49.9063 = \frac{(19.2 \cdot 997 \cdot 9.8066 \cdot \frac{1.32}{0.507}) - 800}{997 \cdot 9.8066}

49.9063m = \frac{(19.2m \cdot 997kg/m³ \cdot 9.8066m/s² \cdot \frac{1.32}{0.507}) - 800Pa}{997kg/m³ \cdot 9.8066m/s²}

49.9063 = \frac{(19.2 \cdot 997 \cdot 9.8066 \cdot \frac{1.32}{0.507}) - 800}{997 \cdot 9.8066}

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Depth below SWL of Pressure Gauge Solution

Follow our step by step solution on how to calculate Depth below SWL of Pressure Gauge?

FIRST Step Consider the formula

z = \frac{(η \cdot ρ \cdot [g] \cdot \frac{k}{f}) - P ss}{ρ \cdot [g]}

Next Step Substitute values of Variables

∴

z = \frac{(19.2m \cdot 997kg/m³ \cdot [g] \cdot \frac{1.32}{0.507}) - 800Pa}{997kg/m³ \cdot [g]}

Next Step Substitute values of Constants

∴

z = \frac{(19.2m \cdot 997kg/m³ \cdot 9.8066m/s² \cdot \frac{1.32}{0.507}) - 800Pa}{997kg/m³ \cdot 9.8066m/s²}

Next Step Prepare to Evaluate

∴

z = \frac{(19.2 \cdot 997 \cdot 9.8066 \cdot \frac{1.32}{0.507}) - 800}{997 \cdot 9.8066}

Next Step Evaluate

∴

z = 49.9063429151391m

LAST Step Rounding Answer

∴

z = 49.9063m

Depth below SWL of Pressure Gauge Formula Elements

Variables

Constants

Depth below the SWL of Pressure Gauge

Depth below the SWL of Pressure Gauge it determines the subsurface pressure the gauge measures, which is essential for understanding the pressure exerted by the water column above the gauge.

Symbol: z

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Depth below the SWL of Pressure Gauge

Water Surface Elevation

Water Surface Elevation directly impacts the magnitude and distribution of hydrostatic pressure acting on submerged structures, such as seawalls, offshore platforms.

Symbol: η

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Water Surface Elevation

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

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

Correction Factor

Correction Factor adjusts theoretical models to better reflect real conditions. This factor accounts for variables like water table fluctuations, and wave impacts that influence subsurface pressure.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Correction Factor

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

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

Other formulas in Pressure Component category

Go Total or Absolute Pressure

P abs = (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 atm

Go Atmospheric Pressure given Total or Absolute Pressure

P atm = P abs - (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 Phase Angle for Total or Absolute Pressure

θ = a \cos (\frac{P abs + (ρ \cdot [g] \cdot Z) - (P atm)}{\frac{ρ \cdot [g] \cdot H \cdot \cosh (2 \cdot π \cdot \frac{D Z+d}{λ})}{2 \cdot \cosh (2 \cdot π \cdot \frac{d}{λ})}})

Go Friction Velocity given Dimensionless Time

V f = \frac{[g] \cdot t d}{t'}

How to Evaluate Depth below SWL of Pressure Gauge?

Depth below SWL of Pressure Gauge evaluator uses Depth below the SWL of Pressure Gauge = ((Water Surface Elevation*Mass Density*[g]*Pressure Response Factor/Correction Factor)-Pressure)/(Mass Density*[g]) to evaluate the Depth below the SWL of Pressure Gauge, The Depth below SWL of Pressure Gauge Formula is defined as the distance from the surface of the water to where the pressure gauge is submerged underwater. In coastal and ocean engineering, this depth is crucial for understanding the pressures exerted by water at different depths. Depth below the SWL of Pressure Gauge is denoted by z symbol.

How to evaluate Depth below SWL of Pressure Gauge using this online evaluator? To use this online evaluator for Depth below SWL of Pressure Gauge, enter Water Surface Elevation (η), Mass Density (ρ), Pressure Response Factor (k), Correction Factor (f) & Pressure (P_ss) and hit the calculate button.

FAQs on Depth below SWL of Pressure Gauge

What is the formula to find Depth below SWL of Pressure Gauge?

The formula of Depth below SWL of Pressure Gauge is expressed as Depth below the SWL of Pressure Gauge = ((Water Surface Elevation*Mass Density*[g]*Pressure Response Factor/Correction Factor)-Pressure)/(Mass Density*[g]). Here is an example- 49.90634 = ((19.2*997*[g]*1.32/0.507)-800)/(997*[g]).

How to calculate Depth below SWL of Pressure Gauge?

With Water Surface Elevation (η), Mass Density (ρ), Pressure Response Factor (k), Correction Factor (f) & Pressure (P_ss) we can find Depth below SWL of Pressure Gauge using the formula - Depth below the SWL of Pressure Gauge = ((Water Surface Elevation*Mass Density*[g]*Pressure Response Factor/Correction Factor)-Pressure)/(Mass Density*[g]). This formula also uses Gravitational acceleration on Earth, Gravitational acceleration on Earth constant(s).

Can the Depth below SWL of Pressure Gauge be negative?

Yes, the Depth below SWL of Pressure Gauge, measured in Length can be negative.

Which unit is used to measure Depth below SWL of Pressure Gauge?

Depth below SWL of Pressure Gauge is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Depth below SWL of Pressure Gauge can be measured.

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Depth below SWL of Pressure Gauge Formula

Depth below SWL of Pressure Gauge Example

Depth below SWL of Pressure Gauge Solution

Depth below SWL of Pressure Gauge Formula Elements

Other formulas in Pressure Component category

How to Evaluate Depth below SWL of Pressure Gauge?

FAQs on Depth below SWL of Pressure Gauge

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