Atmospheric Pressure given Total or Absolute Pressure Calculator

✖Absolute Pressure is the total pressure measured with respect to absolute zero, which is a perfect vacuum. It is the sum of the gauge pressure and the atmospheric pressure.ⓘ Absolute Pressure [P_abs]			+10% -10%
✖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.ⓘ Mass Density [ρ]			+10% -10%
✖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.ⓘ Wave Height [H]			+10% -10%
✖Distance above the Bottom directly influences the magnitude of pressure exerted by the overlying water column on submerged structures or sediments.ⓘ Distance above the Bottom [D_Z+d]			+10% -10%
✖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.ⓘ Wavelength [λ]			+10% -10%
✖Phase Angle is the angular displacement between the oscillations of water level and pore water pressure within the seabed or coastal structures.ⓘ Phase Angle [θ]			+10% -10%
✖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.ⓘ Water Depth [d]			+10% -10%
✖Seabed Elevation impact on the distribution of subsurface pressures in coastal areas. Variations in seabed elevation can affect the flow of groundwater.ⓘ Seabed Elevation [Z]			+10% -10%

✖Atmospheric Pressure is the force per unit area exerted against a surface by the weight of air above that surface in the Earth’s atmosphere.ⓘ Atmospheric Pressure given Total or Absolute Pressure [P_atm]

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Atmospheric Pressure given Total or Absolute Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
P_atm = P_abs-(ρ*[g]*H*cosh(2*pi*(D_Z+d)/λ))*cos(θ)/(2*cosh(2*pi*d/λ))+(ρ*[g]*Z)
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

Atmospheric Pressure - (Measured in Pascal) - Atmospheric Pressure is the force per unit area exerted against a surface by the weight of air above that surface in the Earth’s atmosphere.
Absolute Pressure - (Measured in Pascal) - Absolute Pressure is the total pressure measured with respect to absolute zero, which is a perfect vacuum. It is the sum of the gauge pressure and the atmospheric pressure.
Mass Density - (Measured in Kilogram per Cubic Meter) - 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.
Wave Height - (Measured in Meter) - 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.
Distance above the Bottom - (Measured in Meter) - Distance above the Bottom directly influences the magnitude of pressure exerted by the overlying water column on submerged structures or sediments.
Wavelength - (Measured in Meter) - 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.
Phase Angle - (Measured in Radian) - Phase Angle is the angular displacement between the oscillations of water level and pore water pressure within the seabed or coastal structures.
Water Depth - (Measured in Meter) - 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.
Seabed Elevation - Seabed Elevation impact on the distribution of subsurface pressures in coastal areas. Variations in seabed elevation can affect the flow of groundwater.

STEP 1: Convert Input(s) to Base Unit

Absolute Pressure: 100000 Pascal --> 100000 Pascal No Conversion Required
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: 60 Degree --> 1.0471975511964 Radian (Check conversion here)
Water Depth: 1.05 Meter --> 1.05 Meter No Conversion Required
Seabed Elevation: 0.908 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_atm = P_abs-(ρ*[g]*H*cosh(2*pi*(D_Z+d)/λ))*cos(θ)/(2*cosh(2*pi*d/λ))+(ρ*[g]*Z) --> 100000-(997*[g]*3*cosh(2*pi*(2)/26.8))*cos(1.0471975511964)/(2*cosh(2*pi*1.05/26.8))+(997*[g]*0.908)

Evaluating ... ...

P_atm = 100964.781979786

STEP 3: Convert Result to Output's Unit

100964.781979786 Pascal --> No Conversion Required

FINAL ANSWER

100964.781979786 ≈ 100964.8 Pascal <-- Atmospheric Pressure

(Calculation completed in 00.004 seconds)

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

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Coorg Institute of Technology (CIT), Coorg

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< Pressure Component Calculators

Phase Angle for Total or Absolute Pressure

LaTeX 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

LaTeX 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

LaTeX 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

Friction Velocity given Dimensionless Time

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

Atmospheric Pressure given Total or Absolute Pressure Formula

LaTeX Go

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 Atmospheric Pressure given Total or Absolute Pressure?

Atmospheric Pressure given Total or Absolute Pressure calculator uses 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) to calculate the Atmospheric Pressure, The Atmospheric Pressure given 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. Atmospheric Pressure is denoted by P_atm symbol.

How to calculate Atmospheric Pressure given Total or Absolute Pressure using this online calculator? To use this online calculator for Atmospheric Pressure given Total or Absolute Pressure, enter Absolute Pressure (P_abs), Mass Density (ρ), Wave Height (H), Distance above the Bottom (D_Z+d), Wavelength (λ), Phase Angle (θ), Water Depth (d) & Seabed Elevation (Z) and hit the calculate button. Here is how the Atmospheric Pressure given Total or Absolute Pressure calculation can be explained with given input values -> 99908.84 = 100000-(997*[g]*3*cosh(2*pi*(2)/26.8))*cos(1.0471975511964)/(2*cosh(2*pi*1.05/26.8))+(997*[g]*0.908).

FAQ

What is Atmospheric Pressure given Total or Absolute Pressure?

The Atmospheric Pressure given 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_atm = P_abs-(ρ*[g]*H*cosh(2*pi*(D_Z+d)/λ))*cos(θ)/(2*cosh(2*pi*d/λ))+(ρ*[g]*Z) or 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). Absolute Pressure is the total pressure measured with respect to absolute zero, which is a perfect vacuum. It is the sum of the gauge pressure and the atmospheric pressure, 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, 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, Distance above the Bottom directly influences the magnitude of pressure exerted by the overlying water column on submerged structures or sediments, 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, Phase Angle is the angular displacement between the oscillations of water level and pore water pressure within the seabed or coastal structures, 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 & Seabed Elevation impact on the distribution of subsurface pressures in coastal areas. Variations in seabed elevation can affect the flow of groundwater.

How to calculate Atmospheric Pressure given Total or Absolute Pressure?

The Atmospheric Pressure given 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 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). To calculate Atmospheric Pressure given Total or Absolute Pressure, you need Absolute Pressure (P_abs), Mass Density (ρ), Wave Height (H), Distance above the Bottom (D_Z+d), Wavelength (λ), Phase Angle (θ), Water Depth (d) & Seabed Elevation (Z). With our tool, you need to enter the respective value for Absolute Pressure, Mass Density, Wave Height, Distance above the Bottom, Wavelength, Phase Angle, Water Depth & Seabed Elevation and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Atmospheric Pressure?

In this formula, Atmospheric Pressure uses Absolute Pressure, Mass Density, Wave Height, Distance above the Bottom, Wavelength, Phase Angle, Water Depth & Seabed Elevation. We can use 1 other way(s) to calculate the same, which is/are as follows -

Atmospheric Pressure = Absolute Pressure-Gauge Pressure

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