Pressure given Height of Surface Waves based on Subsurface Measurements Solution

STEP 0: Pre-Calculation Summary
Formula Used
Sub Surface Pressure = ((Elevation of Water Surface*Mass Density*[g]*Pressure Factor)/Correction Factor)-(Mass Density*[g]*Depth below the SWL of Pressure Gauge)
p = ((η*ρ*[g]*K)/f)-(ρ*[g]*z)
This formula uses 1 Constants, 6 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
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.
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 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.
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.
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 Factor: 0.9 --> No Conversion Required
Correction Factor: 0.5 --> No Conversion Required
Depth below the SWL of Pressure Gauge: 50 Meter --> 50 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
p = ((η*ρ*[g]*K)/f)-(ρ*[g]*z) --> ((100*997*[g]*0.9)/0.5)-(997*[g]*50)
Evaluating ... ...
p = 1271039.9065
STEP 3: Convert Result to Output's Unit
1271039.9065 Pascal -->1271.0399065 Kilopascal (Check conversion here)
FINAL ANSWER
1271.0399065 1271.04 Kilopascal <-- Sub Surface Pressure
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Calculator and 2000+ more calculators!
Verified by M Naveen
National Institute of Technology (NIT), Warangal
M Naveen has verified this Calculator and 900+ more calculators!

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 Height of Surface Waves based on Subsurface Measurements Formula

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

Pressure given Height of Surface Waves based on Subsurface Measurements calculator uses Sub Surface Pressure = ((Elevation of Water Surface*Mass Density*[g]*Pressure Factor)/Correction Factor)-(Mass Density*[g]*Depth below the SWL of Pressure Gauge) to calculate the Sub Surface Pressure, The Pressure given Height of Surface Waves based on Subsurface Measurements is the force applied perpendicular to the surface of an object per unit area over which that force is distributed. Sub Surface Pressure is denoted by p symbol.

How to calculate Pressure given Height of Surface Waves based on Subsurface Measurements using this online calculator? To use this online calculator for Pressure given Height of Surface Waves based on Subsurface Measurements, enter Elevation of Water Surface (η), Mass Density (ρ), Pressure Factor (K), Correction Factor (f) & Depth below the SWL of Pressure Gauge (z) and hit the calculate button. Here is how the Pressure given Height of Surface Waves based on Subsurface Measurements calculation can be explained with given input values -> 1.27104 = ((100*997*[g]*0.9)/0.5)-(997*[g]*50).

FAQ

What is Pressure given Height of Surface Waves based on Subsurface Measurements?
The Pressure given Height of Surface Waves based on Subsurface Measurements is the force applied perpendicular to the surface of an object per unit area over which that force is distributed and is represented as p = ((η*ρ*[g]*K)/f)-(ρ*[g]*z) or Sub Surface Pressure = ((Elevation of Water Surface*Mass Density*[g]*Pressure Factor)/Correction Factor)-(Mass Density*[g]*Depth below the SWL of Pressure Gauge). 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 Factor is the Pressure Response Factor 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 & Depth below the SWL of Pressure Gauge is defined as the bottom level with reference to the water depth.
How to calculate Pressure given Height of Surface Waves based on Subsurface Measurements?
The Pressure given Height of Surface Waves based on Subsurface Measurements is the force applied perpendicular to the surface of an object per unit area over which that force is distributed is calculated using Sub Surface Pressure = ((Elevation of Water Surface*Mass Density*[g]*Pressure Factor)/Correction Factor)-(Mass Density*[g]*Depth below the SWL of Pressure Gauge). To calculate Pressure given Height of Surface Waves based on Subsurface Measurements, you need Elevation of Water Surface (η), Mass Density (ρ), Pressure Factor (K), Correction Factor (f) & Depth below the SWL of Pressure Gauge (z). With our tool, you need to enter the respective value for Elevation of Water Surface, Mass Density, Pressure Factor, Correction Factor & Depth below the SWL of Pressure Gauge 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 Elevation of Water Surface, Mass Density, Pressure Factor, Correction Factor & Depth below the SWL of Pressure Gauge. 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 = Mass Density*[g]*(((Wave Height/2)*cos(Phase Angle)*Pressure Factor)-Seabed Elevation)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!