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Water Surface Elevation Formula

GoWater Surface Elevation of Two Sinusoidal Wave Formula

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Water Elevation is the height or level of water relative to a specified reference point. It's a crucial parameter in understanding the behavior of coastal and ocean environments. Check FAQs

η'' = (\frac{H}{2}) \cdot \cos (θ)

η^'' - Water Elevation?H - Wave Height?θ - Phase Angle?

Water Surface Elevation Example

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Here is how the Water Surface Elevation equation looks like with Values.

Here is how the Water Surface Elevation equation looks like with Units.

Here is how the Water Surface Elevation equation looks like.

0.75 = (\frac{3}{2}) \cdot \cos (60)

0.75m = (\frac{3m}{2}) \cdot \cos (60°)

0.75 = (\frac{3}{2}) \cdot \cos (60)

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Water Surface Elevation Solution

Follow our step by step solution on how to calculate Water Surface Elevation?

FIRST Step Consider the formula

η'' = (\frac{H}{2}) \cdot \cos (θ)

Next Step Substitute values of Variables

∴

η'' = (\frac{3m}{2}) \cdot \cos (60°)

Next Step Convert Units

∴

η'' = (\frac{3m}{2}) \cdot \cos (1.0472rad)

Next Step Prepare to Evaluate

∴

η'' = (\frac{3}{2}) \cdot \cos (1.0472)

Next Step Evaluate

∴

η'' = 0.750000000000257m

LAST Step Rounding Answer

∴

η'' = 0.75m

Water Surface Elevation Formula Elements

Variables

Functions

Water Elevation

Water Elevation is the height or level of water relative to a specified reference point. It's a crucial parameter in understanding the behavior of coastal and ocean environments.

Symbol: η^''

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Water Elevation

Wave Height

Wave Height is the vertical distance between the crest and the trough of a wave. Higher wave heights correspond to greater wave forces, which leads to increased structural loading.

Symbol: H

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wave Height

Phase Angle

Phase Angle is the angular displacement between the oscillations of water level and pore water pressure within the seabed or coastal structures.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Phase Angle

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Water Elevation

Go Water Surface Elevation of Two Sinusoidal Wave

η'' = (\frac{H}{2}) \cdot \cos ((2 \cdot π \cdot \frac{x}{L1}) - (2 \cdot π \cdot \frac{t}{T 1})) + (\frac{H}{2}) \cdot \cos ((2 \cdot π \cdot \frac{x}{L2}) - (2 \cdot π \cdot \frac{t}{T 2}))

Other formulas in Pressure Component category

Go Total or Absolute Pressure

P abs = (ρ \cdot [g] \cdot H \cdot \cosh (2 \cdot π \cdot \frac{D Z+d}{λ}) \cdot \frac{\cos (θ)}{2} \cdot \cosh (2 \cdot π \cdot \frac{d}{λ})) - (ρ \cdot [g] \cdot Z) + P atm

Go Atmospheric Pressure given Total or Absolute Pressure

P atm = P abs - (ρ \cdot [g] \cdot H \cdot \cosh (2 \cdot π \cdot \frac{D Z+d}{λ})) \cdot \frac{\cos (θ)}{2 \cdot \cosh (2 \cdot π \cdot \frac{d}{λ})} + (ρ \cdot [g] \cdot Z)

Go Phase Angle for Total or Absolute Pressure

θ = a \cos (\frac{P abs + (ρ \cdot [g] \cdot Z) - (P atm)}{\frac{ρ \cdot [g] \cdot H \cdot \cosh (2 \cdot π \cdot \frac{D Z+d}{λ})}{2 \cdot \cosh (2 \cdot π \cdot \frac{d}{λ})}})

Go Friction Velocity given Dimensionless Time

V f = \frac{[g] \cdot t d}{t'}

How to Evaluate Water Surface Elevation?

Water Surface Elevation evaluator uses Water Elevation = (Wave Height/2)*cos(Phase Angle) to evaluate the Water Elevation, The Water Surface Elevation Formula is defined as the water level or stage, is a critical parameter it indicates the height of the water surface above a reference point, typically above sea level or a specified datum. Water Elevation is denoted by η^'' symbol.

How to evaluate Water Surface Elevation using this online evaluator? To use this online evaluator for Water Surface Elevation, enter Wave Height (H) & Phase Angle (θ) and hit the calculate button.

FAQs on Water Surface Elevation

What is the formula to find Water Surface Elevation?

The formula of Water Surface Elevation is expressed as Water Elevation = (Wave Height/2)*cos(Phase Angle). Here is an example- 0.75 = (3/2)*cos(1.0471975511964).

How to calculate Water Surface Elevation?

With Wave Height (H) & Phase Angle (θ) we can find Water Surface Elevation using the formula - Water Elevation = (Wave Height/2)*cos(Phase Angle). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Water Elevation?

Here are the different ways to Calculate Water Elevation-

Water Elevation=(Wave Height/2)*cos((2*pi*Spatial Progressive Wave/Wavelength of Component Wave 1)-(2*pi*Temporal Progressive Wave/Wave Period of Component Wave 1))+(Wave Height/2)*cos((2*pi*Spatial Progressive Wave/Wavelength of Component Wave 2)-(2*pi*Temporal Progressive Wave/Wave Period of Component Wave 2))

Can the Water Surface Elevation be negative?

Yes, the Water Surface Elevation, measured in Length can be negative.

Which unit is used to measure Water Surface Elevation?

Water Surface Elevation is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Water Surface Elevation can be measured.

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Water Surface Elevation Formula

​GoWater Surface Elevation of Two Sinusoidal Wave Formula

Water Surface Elevation Example

Water Surface Elevation Solution

Water Surface Elevation Formula Elements

Other Formulas to find Water Elevation

Other formulas in Pressure Component category

How to Evaluate Water Surface Elevation?

FAQs on Water Surface Elevation

Variable Name

GoWater Surface Elevation of Two Sinusoidal Wave Formula