Pressure Reference Factor given Height of Surface Waves based on Subsurface Measurements Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pressure Factor = Correction Factor*(Sub Surface Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge))/(Elevation of Water Surface*Mass Density*[g])
K = f*(p+(ρ*[g]*z))/(η*ρ*[g])
This formula uses 1 Constants, 6 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Pressure Factor - Pressure Factor is the Pressure Response Factor 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.
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) - Mass Density is a physical quantity that represents the mass of a substance per unit volume.
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.
STEP 1: Convert Input(s) to Base Unit
Correction Factor: 0.5 --> No Conversion Required
Sub Surface Pressure: 1271 Kilopascal --> 1271000 Pascal (Check conversion ​here)
Mass Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Depth below the SWL of Pressure Gauge: 50 Meter --> 50 Meter No Conversion Required
Elevation of Water Surface: 100 Meter --> 100 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
K = f*(p+(ρ*[g]*z))/(η*ρ*[g]) --> 0.5*(1271000+(997*[g]*50))/(100*997*[g])
Evaluating ... ...
K = 0.899979592123845
STEP 3: Convert Result to Output's Unit
0.899979592123845 --> No Conversion Required
FINAL ANSWER
0.899979592123845 0.89998 <-- Pressure Factor
(Calculation completed in 00.004 seconds)

Credits

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Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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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 Reference Factor given Height of Surface Waves based on Subsurface Measurements Formula

Pressure Factor = Correction Factor*(Sub Surface Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge))/(Elevation of Water Surface*Mass Density*[g])
K = f*(p+(ρ*[g]*z))/(η*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 Pressure Reference Factor given Height of Surface Waves based on Subsurface Measurements?

Pressure Reference Factor given Height of Surface Waves based on Subsurface Measurements calculator uses Pressure Factor = Correction Factor*(Sub Surface Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge))/(Elevation of Water Surface*Mass Density*[g]) to calculate the Pressure Factor, The Pressure Reference Factor given Height of Surface Waves based on Subsurface Measurements is defined as a response factor obtained from linear theory and takes into account pressure due to wave motion. Pressure Factor is denoted by K symbol.

How to calculate Pressure Reference Factor given Height of Surface Waves based on Subsurface Measurements using this online calculator? To use this online calculator for Pressure Reference Factor given Height of Surface Waves based on Subsurface Measurements, enter Correction Factor (f), Sub Surface Pressure (p), Mass Density (ρ), Depth below the SWL of Pressure Gauge (z) & Elevation of Water Surface (η) and hit the calculate button. Here is how the Pressure Reference Factor given Height of Surface Waves based on Subsurface Measurements calculation can be explained with given input values -> 0.89998 = 0.5*(1271000+(997*[g]*50))/(100*997*[g]).

FAQ

What is Pressure Reference Factor given Height of Surface Waves based on Subsurface Measurements?
The Pressure Reference Factor given Height of Surface Waves based on Subsurface Measurements is defined as a response factor obtained from linear theory and takes into account pressure due to wave motion and is represented as K = f*(p+(ρ*[g]*z))/(η*ρ*[g]) or Pressure Factor = Correction Factor*(Sub Surface Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge))/(Elevation of Water Surface*Mass Density*[g]). Correction Factor is that which is multiplied with the result of an equation to correct for a known amount of systematic error, 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 is a physical quantity that represents the mass of a substance per unit volume, Depth below the SWL of Pressure Gauge is defined as the bottom level with reference to the water depth & Elevation of Water Surface relative to the SWL, Standing Water Level recorded for the water well.
How to calculate Pressure Reference Factor given Height of Surface Waves based on Subsurface Measurements?
The Pressure Reference Factor given Height of Surface Waves based on Subsurface Measurements is defined as a response factor obtained from linear theory and takes into account pressure due to wave motion is calculated using Pressure Factor = Correction Factor*(Sub Surface Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge))/(Elevation of Water Surface*Mass Density*[g]). To calculate Pressure Reference Factor given Height of Surface Waves based on Subsurface Measurements, you need Correction Factor (f), Sub Surface Pressure (p), Mass Density (ρ), Depth below the SWL of Pressure Gauge (z) & Elevation of Water Surface (η). With our tool, you need to enter the respective value for Correction Factor, Sub Surface Pressure, Mass Density, Depth below the SWL of Pressure Gauge & Elevation of Water Surface 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 Pressure Factor?
In this formula, Pressure Factor uses Correction Factor, Sub Surface Pressure, Mass Density, Depth below the SWL of Pressure Gauge & Elevation of Water Surface. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Pressure Factor = cosh(2*pi*(Distance above the Bottom)/Wavelength)/(cosh(2*pi*Water Depth/Wavelength))
  • Pressure Factor = 1/cosh(2*pi*Water Depth/Wavelength)
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