FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Surface Elevation given Potential Energy due to Deformation of Free Surface Formula

Fx Copy

LaTeX Copy

Surface Elevation often simply referred to as elevation, is the vertical distance from a specific point on the Earth’s surface to mean sea level. Check FAQs

η = \sqrt{\frac{2 \cdot E p}{ρ \cdot [g] \cdot λ}}

η - Surface Elevation?E_p - Potential Energy of Wave?ρ - Density of Fluid?λ - Wavelength?[g] - Gravitational acceleration on Earth?

Surface Elevation given Potential Energy due to Deformation of Free Surface Example

With values

With units

Only example

Here is how the Surface Elevation given Potential Energy due to Deformation of Free Surface equation looks like with Values.

Here is how the Surface Elevation given Potential Energy due to Deformation of Free Surface equation looks like with Units.

Here is how the Surface Elevation given Potential Energy due to Deformation of Free Surface equation looks like.

6 = \sqrt{\frac{2 \cdot 324.35}{1.225 \cdot 9.8066 \cdot 1.5}}

6m = \sqrt{\frac{2 \cdot 324.35J}{1.225kg/m³ \cdot 9.8066m/s² \cdot 1.5m}}

6 = \sqrt{\frac{2 \cdot 324.35}{1.225 \cdot 9.8066 \cdot 1.5}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Coastal and Ocean Engineering » fx Surface Elevation given Potential Energy due to Deformation of Free Surface

Surface Elevation given Potential Energy due to Deformation of Free Surface Solution

Follow our step by step solution on how to calculate Surface Elevation given Potential Energy due to Deformation of Free Surface?

FIRST Step Consider the formula

η = \sqrt{\frac{2 \cdot E p}{ρ \cdot [g] \cdot λ}}

Next Step Substitute values of Variables

∴

η = \sqrt{\frac{2 \cdot 324.35J}{1.225kg/m³ \cdot [g] \cdot 1.5m}}

Next Step Substitute values of Constants

∴

η = \sqrt{\frac{2 \cdot 324.35J}{1.225kg/m³ \cdot 9.8066m/s² \cdot 1.5m}}

Next Step Prepare to Evaluate

∴

η = \sqrt{\frac{2 \cdot 324.35}{1.225 \cdot 9.8066 \cdot 1.5}}

Next Step Evaluate

∴

η = 5.99995422820991m

LAST Step Rounding Answer

∴

η = 6m

Surface Elevation given Potential Energy due to Deformation of Free Surface Formula Elements

Variables

Constants

Functions

Surface Elevation

Surface Elevation often simply referred to as elevation, is the vertical distance from a specific point on the Earth’s surface to mean sea level.

Symbol: η

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Surface Elevation

Potential Energy of Wave

Potential Energy of Wave is the energy stored within the wave due to its height or amplitude above the surrounding water level.

Symbol: E_p

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Potential Energy of Wave

Density of Fluid

Density of Fluid is the mass of fluid per unit volume of the fluid.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Fluid

Wavelength

Wavelength refers to the distance between successive crests or troughs of a wave.

Symbol: λ

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wavelength

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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.

Syntax: sqrt(Number)

Other formulas in Potential Energy category

Go Potential Energy due to Deformation of Free Surface

E p = \frac{ρ \cdot [g] \cdot η^{2} \cdot λ}{2}

Go Length given Potential Energy due to Deformation of Free Surface

λ = \frac{2 \cdot E p}{ρ \cdot [g] \cdot η^{2}}

Go Potential Energy per unit Width in One Wave

PE = (\frac{1}{16}) \cdot ρ \cdot [g] \cdot (H^{2}) \cdot λ

Go Wave Height given Potential Energy per Unit Width in One Wave

H = \sqrt{\frac{PE}{0.0625 \cdot ρ \cdot [g] \cdot λ}}

How to Evaluate Surface Elevation given Potential Energy due to Deformation of Free Surface?

Surface Elevation given Potential Energy due to Deformation of Free Surface evaluator uses Surface Elevation = sqrt((2*Potential Energy of Wave)/(Density of Fluid*[g]*Wavelength)) to evaluate the Surface Elevation, The Surface Elevation given Potential Energy due to Deformation of Free Surface formula is defined as the elevation of a geographic location as its height above or below a fixed reference point. Surface Elevation is denoted by η symbol.

How to evaluate Surface Elevation given Potential Energy due to Deformation of Free Surface using this online evaluator? To use this online evaluator for Surface Elevation given Potential Energy due to Deformation of Free Surface, enter Potential Energy of Wave (E_p), Density of Fluid (ρ) & Wavelength (λ) and hit the calculate button.

FAQs on Surface Elevation given Potential Energy due to Deformation of Free Surface

What is the formula to find Surface Elevation given Potential Energy due to Deformation of Free Surface?

The formula of Surface Elevation given Potential Energy due to Deformation of Free Surface is expressed as Surface Elevation = sqrt((2*Potential Energy of Wave)/(Density of Fluid*[g]*Wavelength)). Here is an example- 1.41947 = sqrt((2*324.35)/(1.225*[g]*1.5)).

How to calculate Surface Elevation given Potential Energy due to Deformation of Free Surface?

With Potential Energy of Wave (E_p), Density of Fluid (ρ) & Wavelength (λ) we can find Surface Elevation given Potential Energy due to Deformation of Free Surface using the formula - Surface Elevation = sqrt((2*Potential Energy of Wave)/(Density of Fluid*[g]*Wavelength)). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

Can the Surface Elevation given Potential Energy due to Deformation of Free Surface be negative?

No, the Surface Elevation given Potential Energy due to Deformation of Free Surface, measured in Length cannot be negative.

Which unit is used to measure Surface Elevation given Potential Energy due to Deformation of Free Surface?

Surface Elevation given Potential Energy due to Deformation of Free Surface is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Surface Elevation given Potential Energy due to Deformation of Free Surface can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Surface Elevation given Potential Energy due to Deformation of Free Surface Formula

Surface Elevation given Potential Energy due to Deformation of Free Surface Example

Surface Elevation given Potential Energy due to Deformation of Free Surface Solution

Surface Elevation given Potential Energy due to Deformation of Free Surface Formula Elements

Other formulas in Potential Energy category

How to Evaluate Surface Elevation given Potential Energy due to Deformation of Free Surface?

FAQs on Surface Elevation given Potential Energy due to Deformation of Free Surface

Variable Name