Pressure given Pressure Response Factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Sub Surface Pressure = Mass Density*[g]*(((Wave Height/2)*cos(Phase Angle)*Pressure Factor)-Seabed Elevation)
p = ρ*[g]*(((H/2)*cos(θ)*K)-Z)
This formula uses 1 Constants, 1 Functions, 6 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
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)
Variables Used
Sub Surface Pressure - (Measured in Pascal) - Sub Surface Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Mass Density - (Measured in Kilogram per Cubic Meter) - The Mass Density of a substance is its mass 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.
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.
Pressure Factor - Pressure Factor is the Pressure Response Factor obtained from linear theory and takes into account pressure due to wave motion.
Seabed Elevation - Seabed Elevation of the catchment under consideration. Seabed is the bottom of the ocean.
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
Phase Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Pressure Factor: 0.9 --> No Conversion Required
Seabed Elevation: 0.8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
p = ρ*[g]*(((H/2)*cos(θ)*K)-Z) --> 997*[g]*(((3/2)*cos(0.5235987755982)*0.9)-0.8)
Evaluating ... ...
p = 3609.11092262521
STEP 3: Convert Result to Output's Unit
3609.11092262521 Pascal -->3.60911092262521 Kilopascal (Check conversion here)
FINAL ANSWER
3.60911092262521 3.609111 Kilopascal <-- Sub Surface Pressure
(Calculation completed in 00.004 seconds)

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7 Pressure Reference Factor Calculators

Pressure taken as Gauge Pressure relative to Wave Mechanics
Go Sub Surface 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)
Pressure Reference Factor given Height of Surface Waves based on Subsurface Measurements
Go Pressure Factor = Correction Factor*(Sub Surface Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge))/(Elevation of Water Surface*Mass Density*[g])
Pressure given Height of Surface Waves based on Subsurface Measurements
Go Sub Surface Pressure = ((Elevation of Water Surface*Mass Density*[g]*Pressure Factor)/Correction Factor)-(Mass Density*[g]*Depth below the SWL of Pressure Gauge)
Pressure Reference Factor
Go Pressure Factor = cosh(2*pi*(Distance above the Bottom)/Wavelength)/(cosh(2*pi*Water Depth/Wavelength))
Pressure given Pressure Response Factor
Go Sub Surface Pressure = Mass Density*[g]*(((Wave Height/2)*cos(Phase Angle)*Pressure Factor)-Seabed Elevation)
Wavelength for Pressure Response Factor at bottom
Go Wavelength = 2*pi*Water Depth/(acosh(1/Pressure Factor))
Pressure response factor at bottom
Go Pressure Factor = 1/cosh(2*pi*Water Depth/Wavelength)

Pressure given Pressure Response Factor Formula

Sub Surface Pressure = Mass Density*[g]*(((Wave Height/2)*cos(Phase Angle)*Pressure Factor)-Seabed Elevation)
p = ρ*[g]*(((H/2)*cos(θ)*K)-Z)

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 Pressure given Pressure Response Factor?

Pressure given Pressure Response Factor calculator uses Sub Surface Pressure = Mass Density*[g]*(((Wave Height/2)*cos(Phase Angle)*Pressure Factor)-Seabed Elevation) to calculate the Sub Surface Pressure, Pressure given Pressure Response Factor is 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 calculate Pressure given Pressure Response Factor using this online calculator? To use this online calculator for Pressure given Pressure Response Factor, enter Mass Density (ρ), Wave Height (H), Phase Angle (θ), Pressure Factor (K) & Seabed Elevation (Z) and hit the calculate button. Here is how the Pressure given Pressure Response Factor calculation can be explained with given input values -> 0.003609 = 997*[g]*(((3/2)*cos(0.5235987755982)*0.9)-0.8).

FAQ

What is Pressure given Pressure Response Factor?
Pressure given Pressure Response Factor is pressure relative to atmospheric pressure. Gauge pressure is positive for pressures above atmospheric pressure, and negative for pressures below it and is represented as p = ρ*[g]*(((H/2)*cos(θ)*K)-Z) or Sub Surface Pressure = Mass Density*[g]*(((Wave Height/2)*cos(Phase Angle)*Pressure Factor)-Seabed Elevation). The Mass Density of a substance is its mass per unit volume, Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough, 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, Pressure Factor is the Pressure Response Factor obtained from linear theory and takes into account pressure due to wave motion & Seabed Elevation of the catchment under consideration. Seabed is the bottom of the ocean.
How to calculate Pressure given Pressure Response Factor?
Pressure given Pressure Response Factor is pressure relative to atmospheric pressure. Gauge pressure is positive for pressures above atmospheric pressure, and negative for pressures below it is calculated using Sub Surface Pressure = Mass Density*[g]*(((Wave Height/2)*cos(Phase Angle)*Pressure Factor)-Seabed Elevation). To calculate Pressure given Pressure Response Factor, you need Mass Density (ρ), Wave Height (H), Phase Angle (θ), Pressure Factor (K) & Seabed Elevation (Z). With our tool, you need to enter the respective value for Mass Density, Wave Height, Phase Angle, Pressure Factor & 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 Sub Surface Pressure?
In this formula, Sub Surface Pressure uses Mass Density, Wave Height, Phase Angle, Pressure Factor & Seabed Elevation. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Sub Surface 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)
  • Sub Surface Pressure = ((Elevation of Water Surface*Mass Density*[g]*Pressure Factor)/Correction Factor)-(Mass Density*[g]*Depth below the SWL of Pressure Gauge)
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