Total or Absolute Pressure Calculator

✖Mass Density is a physical quantity that represents the mass of a substance per unit volume.ⓘ Mass Density [ρ]			+10% -10%
✖Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.ⓘ Wave Height [H]			+10% -10%
✖Distance above the Bottom refers to the vertical measurement from the lowest point of a given surface (such as the bottom of waterbody) to a specified point above it.ⓘ Distance above the Bottom [D_Z+d]			+10% -10%
✖Wavelength is the distance between two successive crests or troughs of a wave.ⓘ Wavelength [λ]			+10% -10%
✖Phase Angle characteristic of a periodic wave. The angular component periodic wave is known as the phase angle. It is a complex quantity measured by angular units like radians or degrees.ⓘ Phase Angle [θ]			+10% -10%
✖Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.ⓘ Water Depth [d]			+10% -10%
✖Seabed Elevation refers to the measurement of the depth and topography of the ocean floor or seabed.ⓘ Seabed Elevation [Z]			+10% -10%
✖Atmospheric Pressure is the force per unit area exerted into a surface by the weight of the air above that surface in the atmosphere of Earth.ⓘ Atmospheric Pressure [P_atm]			+10% -10%

✖Absolute Pressure is the total pressure exerted on a system, including atmospheric pressure.ⓘ Total or Absolute Pressure [P_abs]

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Formula

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Total or Absolute Pressure

Formula

`"P"_{"abs"} = ("ρ"*"[g]"*"H"*cosh(2*pi*("D"_{"Z+d"})/"λ")*cos("θ")/2*cosh(2*pi*"d"/"λ"))-("ρ"*"[g]"*"Z")+"P"_{"atm"}`

Example

`"100280.1Pa"=("997kg/m³"*"[g]"*"3m"*cosh(2*pi*("2m")/"26.8m")*cos("65°")/2*cosh(2*pi*"1.05m"/"26.8m"))-("997kg/m³"*"[g]"*"0.8")+"101000Pa"`

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Total or Absolute Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
P_abs = (ρ*[g]*H*cosh(2*pi*(D_Z+d)/λ)*cos(θ)/2*cosh(2*pi*d/λ))-(ρ*[g]*Z)+P_atm
This formula uses 2 Constants, 2 Functions, 9 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., 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., cosh(Number)

Variables Used

Absolute Pressure - (Measured in Pascal) - Absolute Pressure is the total pressure exerted on a system, including atmospheric pressure.
Mass Density - (Measured in Kilogram per Cubic Meter) - Mass Density is a physical quantity that represents the mass of a substance per unit volume.
Wave Height - (Measured in Meter) - Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.
Distance above the Bottom - (Measured in Meter) - Distance above the Bottom refers to the vertical measurement from the lowest point of a given surface (such as the bottom of waterbody) to a specified point above it.
Wavelength - (Measured in Meter) - Wavelength is the distance between two successive crests or troughs of a wave.
Phase Angle - (Measured in Radian) - Phase Angle characteristic of a periodic wave. The angular component periodic wave is known as the phase angle. It is a complex quantity measured by angular units like radians or degrees.
Water Depth - (Measured in Meter) - Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.
Seabed Elevation - Seabed Elevation refers to the measurement of the depth and topography of the ocean floor or seabed.
Atmospheric Pressure - (Measured in Pascal) - Atmospheric Pressure is the force per unit area exerted into a surface by the weight of the air above that surface in the atmosphere of Earth.

STEP 1: Convert Input(s) to Base Unit

Mass Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Wave Height: 3 Meter --> 3 Meter No Conversion Required
Distance above the Bottom: 2 Meter --> 2 Meter No Conversion Required
Wavelength: 26.8 Meter --> 26.8 Meter No Conversion Required
Phase Angle: 65 Degree --> 1.1344640137961 Radian (Check conversion here)
Water Depth: 1.05 Meter --> 1.05 Meter No Conversion Required
Seabed Elevation: 0.8 --> No Conversion Required
Atmospheric Pressure: 101000 Pascal --> 101000 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_abs = (ρ*[g]*H*cosh(2*pi*(D_Z+d)/λ)*cos(θ)/2*cosh(2*pi*d/λ))-(ρ*[g]*Z)+P_atm --> (997*[g]*3*cosh(2*pi*(2)/26.8)*cos(1.1344640137961)/2*cosh(2*pi*1.05/26.8))-(997*[g]*0.8)+101000

Evaluating ... ...

P_abs = 100280.08576408

STEP 3: Convert Result to Output's Unit

100280.08576408 Pascal --> No Conversion Required

FINAL ANSWER

100280.08576408 ≈ 100280.1 Pascal <-- Absolute Pressure

(Calculation completed in 00.005 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Water Wave Mechanics » Subsurface Pressure » Pressure Component » Total or Absolute Pressure

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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National Institute of Technology (NIT), Warangal

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< 14 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

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

Total or Absolute Pressure Formula

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 Total or Absolute Pressure?

Total or Absolute Pressure calculator uses 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 to calculate the Absolute Pressure, The Total or Absolute Pressure formula is defined as the pressure of having no matter inside a space, or a perfect vacuum. Measurements taken in absolute pressure use this absolute zero as their reference point. Absolute Pressure is denoted by P_abs symbol.

How to calculate Total or Absolute Pressure using this online calculator? To use this online calculator for Total or Absolute Pressure, enter Mass Density (ρ), Wave Height (H), Distance above the Bottom (D_Z+d), Wavelength (λ), Phase Angle (θ), Water Depth (d), Seabed Elevation (Z) & Atmospheric Pressure (P_atm) and hit the calculate button. Here is how the Total or Absolute Pressure calculation can be explained with given input values -> 107731.3 = (997*[g]*3*cosh(2*pi*(2)/26.8)*cos(1.1344640137961)/2*cosh(2*pi*1.05/26.8))-(997*[g]*0.8)+101000.

FAQ

What is Total or Absolute Pressure?

The Total or Absolute Pressure formula is defined as the pressure of having no matter inside a space, or a perfect vacuum. Measurements taken in absolute pressure use this absolute zero as their reference point and is represented as P_abs = (ρ*[g]*H*cosh(2*pi*(D_Z+d)/λ)*cos(θ)/2*cosh(2*pi*d/λ))-(ρ*[g]*Z)+P_atm or 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. Mass Density is a physical quantity that represents the mass of a substance per unit volume, Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough, Distance above the Bottom refers to the vertical measurement from the lowest point of a given surface (such as the bottom of waterbody) to a specified point above it, Wavelength is the distance between two successive crests or troughs of a wave, Phase Angle characteristic of a periodic wave. The angular component periodic wave is known as the phase angle. It is a complex quantity measured by angular units like radians or degrees, Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body, Seabed Elevation refers to the measurement of the depth and topography of the ocean floor or seabed & Atmospheric Pressure is the force per unit area exerted into a surface by the weight of the air above that surface in the atmosphere of Earth.

How to calculate Total or Absolute Pressure?

The Total or Absolute Pressure formula is defined as the pressure of having no matter inside a space, or a perfect vacuum. Measurements taken in absolute pressure use this absolute zero as their reference point is calculated using 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. To calculate Total or Absolute Pressure, you need Mass Density (ρ), Wave Height (H), Distance above the Bottom (D_Z+d), Wavelength (λ), Phase Angle (θ), Water Depth (d), Seabed Elevation (Z) & Atmospheric Pressure (P_atm). With our tool, you need to enter the respective value for Mass Density, Wave Height, Distance above the Bottom, Wavelength, Phase Angle, Water Depth, Seabed Elevation & Atmospheric 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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