Ordinate of Water Surface given Pressure under Cnoidal Wave in Hydrostatic Form Calculator

✖Pressure Under Wave refers to the hydrodynamic pressure exerted by the water column due to the weight of the overlying water and the dynamic forces associated with the wave motion.ⓘ Pressure Under Wave [p]			+10% -10%
✖The Density of Salt Water is the weight of the salt water per cubic meter volume. It is greater than density of pure water.ⓘ Density of Salt Water [ρ_s]			+10% -10%
✖Elevation above the Bottom refers to the height or depth of an object or feature above the seabed or ocean floor.ⓘ Elevation above the Bottom [y]			+10% -10%

✖Ordinate of the Water Surface is defined as the vertical distance between two points on the water plane.ⓘ Ordinate of Water Surface given Pressure under Cnoidal Wave in Hydrostatic Form [y_s]

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Ordinate of Water Surface given Pressure under Cnoidal Wave in Hydrostatic Form Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ordinate of the Water Surface = (Pressure Under Wave/(Density of Salt Water*[g]))+Elevation above the Bottom
y_s = (p/(ρ_s*[g]))+y
This formula uses 1 Constants, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Ordinate of the Water Surface - Ordinate of the Water Surface is defined as the vertical distance between two points on the water plane.
Pressure Under Wave - (Measured in Pascal) - Pressure Under Wave refers to the hydrodynamic pressure exerted by the water column due to the weight of the overlying water and the dynamic forces associated with the wave motion.
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.
Elevation above the Bottom - (Measured in Meter) - Elevation above the Bottom refers to the height or depth of an object or feature above the seabed or ocean floor.

STEP 1: Convert Input(s) to Base Unit

Pressure Under Wave: 804.1453 Pascal --> 804.1453 Pascal No Conversion Required
Density of Salt Water: 1025 Kilogram per Cubic Meter --> 1025 Kilogram per Cubic Meter No Conversion Required
Elevation above the Bottom: 4.92 Meter --> 4.92 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

y_s = (p/(ρ_s*[g]))+y --> (804.1453/(1025*[g]))+4.92

Evaluating ... ...

y_s = 5

STEP 3: Convert Result to Output's Unit

5 --> No Conversion Required

FINAL ANSWER

5 <-- Ordinate of the Water Surface

(Calculation completed in 00.004 seconds)

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< Cnoidal Wave Theory Calculators

Complete Elliptic Integral of Second Kind

LaTeX 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)

Distance from Bottom to Wave Trough

LaTeX 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

LaTeX 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

LaTeX 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))

Ordinate of Water Surface given Pressure under Cnoidal Wave in Hydrostatic Form Formula

LaTeX Go

Ordinate of the Water Surface = (Pressure Under Wave/(Density of Salt Water*[g]))+Elevation above the Bottom
y_s = (p/(ρ_s*[g]))+y

What is Cnoidal Wave?

In fluid dynamics, a cnoidal wave is a nonlinear and exact periodic wave solution of the Korteweg–de Vries equation. These solutions are in terms of the Jacobi elliptic function cn, which is why they are coined cnoidal waves.

How to Calculate Ordinate of Water Surface given Pressure under Cnoidal Wave in Hydrostatic Form?

Ordinate of Water Surface given Pressure under Cnoidal Wave in Hydrostatic Form calculator uses Ordinate of the Water Surface = (Pressure Under Wave/(Density of Salt Water*[g]))+Elevation above the Bottom to calculate the Ordinate of the Water Surface, The Ordinate of Water Surface given Pressure under Cnoidal Wave in Hydrostatic Form formula is defined as the vertical distance between two points on water plane. Ordinate of the Water Surface is denoted by y_s symbol.

How to calculate Ordinate of Water Surface given Pressure under Cnoidal Wave in Hydrostatic Form using this online calculator? To use this online calculator for Ordinate of Water Surface given Pressure under Cnoidal Wave in Hydrostatic Form, enter Pressure Under Wave (p), Density of Salt Water (ρ_s) & Elevation above the Bottom (y) and hit the calculate button. Here is how the Ordinate of Water Surface given Pressure under Cnoidal Wave in Hydrostatic Form calculation can be explained with given input values -> 5 = (804.1453/(1025*[g]))+4.92.

FAQ

What is Ordinate of Water Surface given Pressure under Cnoidal Wave in Hydrostatic Form?

The Ordinate of Water Surface given Pressure under Cnoidal Wave in Hydrostatic Form formula is defined as the vertical distance between two points on water plane and is represented as y_s = (p/(ρ_s*[g]))+y or Ordinate of the Water Surface = (Pressure Under Wave/(Density of Salt Water*[g]))+Elevation above the Bottom. Pressure Under Wave refers to the hydrodynamic pressure exerted by the water column due to the weight of the overlying water and the dynamic forces associated with the wave motion, The Density of Salt Water is the weight of the salt water per cubic meter volume. It is greater than density of pure water & Elevation above the Bottom refers to the height or depth of an object or feature above the seabed or ocean floor.

How to calculate Ordinate of Water Surface given Pressure under Cnoidal Wave in Hydrostatic Form?

The Ordinate of Water Surface given Pressure under Cnoidal Wave in Hydrostatic Form formula is defined as the vertical distance between two points on water plane is calculated using Ordinate of the Water Surface = (Pressure Under Wave/(Density of Salt Water*[g]))+Elevation above the Bottom. To calculate Ordinate of Water Surface given Pressure under Cnoidal Wave in Hydrostatic Form, you need Pressure Under Wave (p), Density of Salt Water (ρ_s) & Elevation above the Bottom (y). With our tool, you need to enter the respective value for Pressure Under Wave, Density of Salt Water & Elevation above the Bottom and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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