Depth below SWL of Pressure Gauge Calculator

✖Elevation of Water Surface relative to the SWL, Standing Water Level recorded for the water well.ⓘ Elevation of Water Surface [η]			+10% -10%
✖Mass Density is a physical quantity that represents the mass of a substance per unit volume.ⓘ Mass Density [ρ]			+10% -10%
✖Pressure Response Factor is obtained from linear theory and takes into account pressure due to wave motion.ⓘ Pressure Response Factor [K]			+10% -10%
✖Correction Factor is that which is multiplied with the result of an equation to correct for a known amount of systematic error.ⓘ Correction Factor [f]			+10% -10%
✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure [p]			+10% -10%

✖Depth below the SWL of Pressure Gauge is defined as the bottom level with reference to the water depth.ⓘ Depth below SWL of Pressure Gauge [z]

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Formula

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Depth below SWL of Pressure Gauge

Formula

`"z" = (("η"*"ρ"*"[g]"*"K"/"f")-"p")/"ρ"*"[g]"`

Example

`"1915.539m"=(("100m"*"997kg/m³"*"[g]"*"0.1"/"0.5")-"800Pa")/"997kg/m³"*"[g]"`

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Depth below SWL of Pressure Gauge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth below the SWL of Pressure Gauge = ((Elevation of Water Surface*Mass Density*[g]*Pressure Response Factor/Correction Factor)-Pressure)/Mass Density*[g]
z = ((η*ρ*[g]*K/f)-p)/ρ*[g]
This formula uses 1 Constants, 6 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Depth below the SWL of Pressure Gauge - (Measured in Meter) - Depth below the SWL of Pressure Gauge is defined as the bottom level with reference to the water depth.
Elevation of Water Surface - (Measured in Meter) - Elevation of Water Surface relative to the SWL, Standing Water Level recorded for the water well.
Mass Density - (Measured in Kilogram per Cubic Meter) - Mass Density is a physical quantity that represents the mass of a substance per unit volume.
Pressure Response Factor - Pressure Response Factor is obtained from linear theory and takes into account pressure due to wave motion.
Correction Factor - Correction Factor is that which is multiplied with the result of an equation to correct for a known amount of systematic error.
Pressure - (Measured in Pascal) - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

STEP 1: Convert Input(s) to Base Unit

Elevation of Water Surface: 100 Meter --> 100 Meter No Conversion Required
Mass Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Pressure Response Factor: 0.1 --> No Conversion Required
Correction Factor: 0.5 --> No Conversion Required
Pressure: 800 Pascal --> 800 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

z = ((η*ρ*[g]*K/f)-p)/ρ*[g] --> ((100*997*[g]*0.1/0.5)-800)/997*[g]

Evaluating ... ...

z = 1915.53875766966

STEP 3: Convert Result to Output's Unit

1915.53875766966 Meter --> No Conversion Required

FINAL ANSWER

1915.53875766966 ≈ 1915.539 Meter <-- Depth below the SWL of Pressure Gauge

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Water Wave Mechanics » Subsurface Pressure » Pressure Component » Depth below SWL of Pressure Gauge

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< 16 Pressure Component Calculators

Water Surface Elevation of Two Sinusoidal Wave

Go Elevation of Water Surface = (Wave Height/2)*cos((2*pi*Spatial (Progressive Wave)/Wavelength of Component Wave 1)-(2*pi*Temporal (Progressive Wave)/Wave Period of Component Wave 1))+(Wave Height/2)*cos((2*pi*Spatial (Progressive Wave)/Wavelength of Component Wave 2)-(2*pi*Temporal (Progressive Wave)/Wave Period of Component Wave 2))

Phase Angle for Total or Absolute Pressure

Go Phase Angle = acos((Absolute Pressure+(Mass Density*[g]*Seabed Elevation)-(Atmospheric Pressure))/((Mass Density*[g]*Wave Height*cosh(2*pi*(Distance above the Bottom)/Wavelength))/(2*cosh(2*pi*Water Depth/Wavelength))))

Atmospheric Pressure given Total or Absolute Pressure

Go Atmospheric pressure = Absolute pressure-(Mass Density*[g]*Wave Height*cosh(2*pi*(Distance above the Bottom)/Wavelength))*cos(Phase Angle)/(2*cosh(2*pi*Water Depth/Wavelength))+(Mass Density*[g]*Seabed Elevation)

Total or Absolute Pressure

Go Absolute pressure = (Mass Density*[g]*Wave Height*cosh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle)/2*cosh(2*pi*Water Depth/Wavelength))-(Mass Density*[g]*Seabed Elevation)+Atmospheric Pressure

Dynamic Component due to Acceleration from Absolute Pressure Equation

Go Dynamic Component due to Acceleration = (Mass Density*[g]*Wave Height*cosh(2*pi*(Distance above the Bottom)/Wavelength))*cos(Phase Angle)/(2*cosh(2*pi*Water Depth/Wavelength))

Height of Surface Waves based on Subsurface Measurements

Go Elevation of Water Surface = Correction Factor*(Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge))/(Mass Density*[g]*Pressure Response Factor)

Correction Factor given Height of Surface Waves based on Subsurface Measurements

Go Correction Factor = Elevation of Water Surface*Mass Density*[g]*Pressure Response Factor/(Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge))

Depth below SWL of Pressure Gauge

Go Depth below the SWL of Pressure Gauge = ((Elevation of Water Surface*Mass Density*[g]*Pressure Response Factor/Correction Factor)-Pressure)/Mass Density*[g]

Friction Velocity given Dimensionless Time

Go Friction Velocity = ([g]*Time for Dimensionless Parameter Calculation)/Dimensionless Time

Water Surface Elevation

Go Elevation of Water Surface = (Wave Height/2)*cos(Phase Angle)

Wave celerity for shallow water given water depth

Go Celerity of the Wave = sqrt([g]*Water Depth)

Atmospheric Pressure given Gauge Pressure

Go Atmospheric Pressure = Absolute Pressure-Gauge Pressure

Total Pressure given Gauge Pressure

Go Total Pressure = Gauge Pressure+Atmospheric Pressure

Water Depth given Wave Celerity for Shallow Water

Go Water Depth = (Celerity of the Wave^2)/[g]

Radian Frequency given Wave Period

Go Wave Angular Frequency = 1/Mean Wave Period

Wave Period given average Frequency

Go Wave Period = 1/Wave Angular Frequency

Depth below SWL of Pressure Gauge Formula

Depth below the SWL of Pressure Gauge = ((Elevation of Water Surface*Mass Density*[g]*Pressure Response Factor/Correction Factor)-Pressure)/Mass Density*[g]
z = ((η*ρ*[g]*K/f)-p)/ρ*[g]

What is Wavelength?

Wavelength, distance between corresponding points of two consecutive waves. “Corresponding points” refers to two points or particles in the same phase i.e., points that have completed identical fractions of their periodic motion.

How to Calculate Depth below SWL of Pressure Gauge?

Depth below SWL of Pressure Gauge calculator uses Depth below the SWL of Pressure Gauge = ((Elevation of Water Surface*Mass Density*[g]*Pressure Response Factor/Correction Factor)-Pressure)/Mass Density*[g] to calculate the Depth below the SWL of Pressure Gauge, The Depth below SWL of Pressure Gauge is defined as bottom level with reference to water depth. Depth below the SWL of Pressure Gauge is denoted by z symbol.

How to calculate Depth below SWL of Pressure Gauge using this online calculator? To use this online calculator for Depth below SWL of Pressure Gauge, enter Elevation of Water Surface (η), Mass Density (ρ), Pressure Response Factor (K), Correction Factor (f) & Pressure (p) and hit the calculate button. Here is how the Depth below SWL of Pressure Gauge calculation can be explained with given input values -> 1915.539 = ((100*997*[g]*0.1/0.5)-800)/997*[g].

FAQ

What is Depth below SWL of Pressure Gauge?

The Depth below SWL of Pressure Gauge is defined as bottom level with reference to water depth and is represented as z = ((η*ρ*[g]*K/f)-p)/ρ*[g] or Depth below the SWL of Pressure Gauge = ((Elevation of Water Surface*Mass Density*[g]*Pressure Response Factor/Correction Factor)-Pressure)/Mass Density*[g]. Elevation of Water Surface relative to the SWL, Standing Water Level recorded for the water well, Mass Density is a physical quantity that represents the mass of a substance per unit volume, Pressure Response Factor is obtained from linear theory and takes into account pressure due to wave motion, Correction Factor is that which is multiplied with the result of an equation to correct for a known amount of systematic error & Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

How to calculate Depth below SWL of Pressure Gauge?

The Depth below SWL of Pressure Gauge is defined as bottom level with reference to water depth is calculated using Depth below the SWL of Pressure Gauge = ((Elevation of Water Surface*Mass Density*[g]*Pressure Response Factor/Correction Factor)-Pressure)/Mass Density*[g]. To calculate Depth below SWL of Pressure Gauge, you need Elevation of Water Surface (η), Mass Density (ρ), Pressure Response Factor (K), Correction Factor (f) & Pressure (p). With our tool, you need to enter the respective value for Elevation of Water Surface, Mass Density, Pressure Response Factor, Correction Factor & Pressure and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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