Wave Height Required to Produce Difference in Pressure on Seabed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of The Wave = Change in Pressure/((Density of Salt Water*[g])*(0.5+(0.5*sqrt(1-((3*Change in Pressure)/(Density of Salt Water*[g]*Water Depth for Cnoidal Wave))))))
Hw = ΔP/((ρs*[g])*(0.5+(0.5*sqrt(1-((3*ΔP)/(ρs*[g]*dc))))))
This formula uses 1 Constants, 1 Functions, 4 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Height of The Wave - (Measured in Meter) - Height of The Wave is the difference between the elevations of a crest and a neighboring trough.
Change in Pressure - (Measured in Pascal) - Change in Pressure is defined as the difference between final pressure and initial pressure. In differential form it is represented as dP.
Density of Salt Water - (Measured in Kilogram per Cubic Meter) - The Density of Salt Water is the weight of the salt water per cubic meter volume. It is greater than density of pure water.
Water Depth for Cnoidal Wave - (Measured in Meter) - Water Depth for Cnoidal Wave is the y depth from bed under cnoidal wave.
STEP 1: Convert Input(s) to Base Unit
Change in Pressure: 100 Pascal --> 100 Pascal No Conversion Required
Density of Salt Water: 1025 Kilogram per Cubic Meter --> 1025 Kilogram per Cubic Meter No Conversion Required
Water Depth for Cnoidal Wave: 16 Meter --> 16 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Hw = ΔP/((ρs*[g])*(0.5+(0.5*sqrt(1-((3*ΔP)/(ρs*[g]*dc)))))) --> 100/((1025*[g])*(0.5+(0.5*sqrt(1-((3*100)/(1025*[g]*16))))))
Evaluating ... ...
Hw = 0.00995309448753427
STEP 3: Convert Result to Output's Unit
0.00995309448753427 Meter --> No Conversion Required
FINAL ANSWER
0.00995309448753427 0.009953 Meter <-- Height of The Wave
(Calculation completed in 00.004 seconds)

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14 Cnoidal Wave Theory Calculators

Wavelength for Distance from Bottom to Wave Trough
Go Wavelength of Wave = sqrt((16*Water Depth for Cnoidal Wave^2*Complete Elliptic Integral of the first kind*(Complete Elliptic Integral of the first kind-Complete Elliptic Integral of the Second Kind))/(3*((Distance from the Bottom to the Wave Trough/Water Depth for Cnoidal Wave)+(Height of The Wave/Water Depth for Cnoidal Wave)-1)))
Complete Elliptic Integral of Second Kind
Go Complete Elliptic Integral of the Second Kind = -((((Distance from the Bottom to the Wave Trough/Water Depth for Cnoidal Wave)+(Height of The Wave/Water Depth for Cnoidal Wave)-1)*(3*Wavelength of Wave^2)/((16*Water Depth for Cnoidal Wave^2)*Complete Elliptic Integral of the first kind))-Complete Elliptic Integral of the first kind)
Wave Height given Distance from Bottom to Wave Trough and Water Depth
Go Height of The Wave = -Water Depth for Cnoidal Wave*((Distance from the Bottom to the Wave Trough/Water Depth for Cnoidal Wave)-1-((16*Water Depth for Cnoidal Wave^2/(3*Wavelength of Wave^2))*Complete Elliptic Integral of the first kind*(Complete Elliptic Integral of the first kind-Complete Elliptic Integral of the Second Kind)))
Wave Height Required to Produce Difference in Pressure on Seabed
Go Height of The Wave = Change in Pressure/((Density of Salt Water*[g])*(0.5+(0.5*sqrt(1-((3*Change in Pressure)/(Density of Salt Water*[g]*Water Depth for Cnoidal Wave))))))
Free Surface Elevation of Solitary Waves
Go Free Surface Elevation = Height of The Wave*(Particle Velocity/(sqrt([g]*Water Depth for Cnoidal Wave)*(Height of The Wave/Water Depth for Cnoidal Wave)))
Particle Velocities given Free Surface Elevation of Solitary Waves
Go Particle Velocity = Free Surface Elevation*sqrt([g]*Water Depth for Cnoidal Wave)*(Height of The Wave/Water Depth for Cnoidal Wave)/Height of The Wave
Distance from Bottom to Wave Trough
Go Distance from the Bottom to the Wave Trough = Water Depth for Cnoidal Wave*((Distance from the Bottom to the Crest/Water Depth for Cnoidal Wave)-(Height of The Wave/Water Depth for Cnoidal Wave))
Distance from Bottom to Crest
Go Distance from the Bottom to the Crest = Water Depth for Cnoidal Wave*((Distance from the Bottom to the Wave Trough/Water Depth for Cnoidal Wave)+(Height of The Wave/Water Depth for Cnoidal Wave))
Trough to Crest Wave Height
Go Height of The Wave = Water Depth for Cnoidal Wave*((Distance from the Bottom to the Crest/Water Depth for Cnoidal Wave)-(Distance from the Bottom to the Wave Trough/Water Depth for Cnoidal Wave))
Wave Height when Free Surface Elevation of Solitary Waves
Go Height of The Wave = Free Surface Elevation*sqrt([g]*Water Depth for Cnoidal Wave)/(Particle Velocity*Water Depth for Cnoidal Wave)
Wavelength for Complete Elliptic Integral of First Kind
Go Wavelength of Wave = sqrt(16*Water Depth for Cnoidal Wave^3/(3*Height of The Wave))*Modulus of the Elliptic Integrals*Complete Elliptic Integral of the first kind
Elevation above Bottom given Pressure under Cnoidal Wave in Hydrostatic Form
Go Any Elevation above the Bottom = -((Pressure under A Wave/(Density of Salt Water*[g]))-Ordinate of the Water Surface)
Ordinate of Water Surface given Pressure under Cnoidal Wave in Hydrostatic Form
Go Ordinate of the Water Surface = (Pressure under A Wave/(Density of Salt Water*[g]))+Any Elevation above the Bottom
Pressure under Cnoidal Wave in Hydrostatic Form
Go Pressure under A Wave = Density of Salt Water*[g]*(Ordinate of the Water Surface-Any Elevation above the Bottom)

Wave Height Required to Produce Difference in Pressure on Seabed Formula

Height of The Wave = Change in Pressure/((Density of Salt Water*[g])*(0.5+(0.5*sqrt(1-((3*Change in Pressure)/(Density of Salt Water*[g]*Water Depth for Cnoidal Wave))))))
Hw = ΔP/((ρs*[g])*(0.5+(0.5*sqrt(1-((3*ΔP)/(ρs*[g]*dc))))))

What are the characteristics of progressive waves?

A progressive wave is formed due to continuous vibration of the particles of the medium.
The wave travels with a certain velocity.
There is a flow of energy in the direction of the wave.
No particles in the medium are at rest.
The amplitude of all the particles is the same.

How to Calculate Wave Height Required to Produce Difference in Pressure on Seabed?

Wave Height Required to Produce Difference in Pressure on Seabed calculator uses Height of The Wave = Change in Pressure/((Density of Salt Water*[g])*(0.5+(0.5*sqrt(1-((3*Change in Pressure)/(Density of Salt Water*[g]*Water Depth for Cnoidal Wave)))))) to calculate the Height of The Wave, The Wave height required to produce difference in pressure on seabed of a surface wave is the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering. Height of The Wave is denoted by Hw symbol.

How to calculate Wave Height Required to Produce Difference in Pressure on Seabed using this online calculator? To use this online calculator for Wave Height Required to Produce Difference in Pressure on Seabed, enter Change in Pressure (ΔP), Density of Salt Water s) & Water Depth for Cnoidal Wave (dc) and hit the calculate button. Here is how the Wave Height Required to Produce Difference in Pressure on Seabed calculation can be explained with given input values -> 0.009953 = 100/((1025*[g])*(0.5+(0.5*sqrt(1-((3*100)/(1025*[g]*16)))))).

FAQ

What is Wave Height Required to Produce Difference in Pressure on Seabed?
The Wave height required to produce difference in pressure on seabed of a surface wave is the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering and is represented as Hw = ΔP/((ρs*[g])*(0.5+(0.5*sqrt(1-((3*ΔP)/(ρs*[g]*dc)))))) or Height of The Wave = Change in Pressure/((Density of Salt Water*[g])*(0.5+(0.5*sqrt(1-((3*Change in Pressure)/(Density of Salt Water*[g]*Water Depth for Cnoidal Wave)))))). Change in Pressure is defined as the difference between final pressure and initial pressure. In differential form it is represented as dP, The Density of Salt Water is the weight of the salt water per cubic meter volume. It is greater than density of pure water & Water Depth for Cnoidal Wave is the y depth from bed under cnoidal wave.
How to calculate Wave Height Required to Produce Difference in Pressure on Seabed?
The Wave height required to produce difference in pressure on seabed of a surface wave is the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering is calculated using Height of The Wave = Change in Pressure/((Density of Salt Water*[g])*(0.5+(0.5*sqrt(1-((3*Change in Pressure)/(Density of Salt Water*[g]*Water Depth for Cnoidal Wave)))))). To calculate Wave Height Required to Produce Difference in Pressure on Seabed, you need Change in Pressure (ΔP), Density of Salt Water s) & Water Depth for Cnoidal Wave (dc). With our tool, you need to enter the respective value for Change in Pressure, Density of Salt Water & Water Depth for Cnoidal Wave 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 Height of The Wave?
In this formula, Height of The Wave uses Change in Pressure, Density of Salt Water & Water Depth for Cnoidal Wave. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Height of The Wave = Water Depth for Cnoidal Wave*((Distance from the Bottom to the Crest/Water Depth for Cnoidal Wave)-(Distance from the Bottom to the Wave Trough/Water Depth for Cnoidal Wave))
  • Height of The Wave = -Water Depth for Cnoidal Wave*((Distance from the Bottom to the Wave Trough/Water Depth for Cnoidal Wave)-1-((16*Water Depth for Cnoidal Wave^2/(3*Wavelength of Wave^2))*Complete Elliptic Integral of the first kind*(Complete Elliptic Integral of the first kind-Complete Elliptic Integral of the Second Kind)))
  • Height of The Wave = Free Surface Elevation*sqrt([g]*Water Depth for Cnoidal Wave)/(Particle Velocity*Water Depth for Cnoidal Wave)
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