Wave Height given Total Wave Energy in one Wavelength per unit Crest Width Calculator

✖Total Energy of Wave per Width is the sum of its kinetic energy and its potential energy.ⓘ Total Energy of Wave per Width [TE]			+10% -10%
✖Density of Fluid is the mass of fluid per unit volume of the fluid.ⓘ Density of Fluid [ρ]			+10% -10%
✖Wavelength refers to the distance between successive crests or troughs of a wave.ⓘ Wavelength [λ]			+10% -10%

✖Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.ⓘ Wave Height given Total Wave Energy in one Wavelength per unit Crest Width [H]

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Wave Height given Total Wave Energy in one Wavelength per unit Crest Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Height = sqrt((8*Total Energy of Wave per Width)/(Density of Fluid*[g]*Wavelength))
H = sqrt((8*TE)/(ρ*[g]*λ))
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

Wave Height - (Measured in Meter) - Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.
Total Energy of Wave per Width - (Measured in Joule per Meter) - Total Energy of Wave per Width is the sum of its kinetic energy and its potential energy.
Density of Fluid - (Measured in Kilogram per Cubic Meter) - Density of Fluid is the mass of fluid per unit volume of the fluid.
Wavelength - (Measured in Meter) - Wavelength refers to the distance between successive crests or troughs of a wave.

STEP 1: Convert Input(s) to Base Unit

Total Energy of Wave per Width: 20.26 Joule per Meter --> 20.26 Joule per Meter No Conversion Required
Density of Fluid: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Wavelength: 1.5 Meter --> 1.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = sqrt((8*TE)/(ρ*[g]*λ)) --> sqrt((8*20.26)/(1.225*[g]*1.5))

Evaluating ... ...

H = 2.99909831165368

STEP 3: Convert Result to Output's Unit

2.99909831165368 Meter --> No Conversion Required

FINAL ANSWER

2.99909831165368 ≈ 2.999098 Meter <-- Wave Height

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< Wave Energy Calculators

Wave Height given Total Wave Energy in one Wavelength per unit Crest Width

LaTeX Go Wave Height = sqrt((8*Total Energy of Wave per Width)/(Density of Fluid*[g]*Wavelength))

Total Wave Energy in one Wavelength per unit Crest Width

LaTeX Go Total Energy of Wave per Width = (Density of Fluid*[g]*Wave Height^2*Wavelength)/8

Total Wave Energy given Kinetic Energy and Potential Energy

LaTeX Go Total Energy of Wave per Width = Kinetic Energy of Wave per Unit Width+Potential Energy per Unit Width

Potential Energy given Total Wave Energy

LaTeX Go Potential Energy per Unit Width = Total Energy of Wave per Width-Kinetic Energy of Wave per Unit Width

Wave Height given Total Wave Energy in one Wavelength per unit Crest Width Formula

LaTeX Go

Wave Height = sqrt((8*Total Energy of Wave per Width)/(Density of Fluid*[g]*Wavelength))
H = sqrt((8*TE)/(ρ*[g]*λ))

What type of energy is Wave Energy?

Wave Energy is an indirect form of wind energy that causes movement of the water on the surface of the oceans and by capturing this energy the motion of the waves is converted to mechanical energy and used to drive an electricity generator.

How to Calculate Wave Height given Total Wave Energy in one Wavelength per unit Crest Width?

Wave Height given Total Wave Energy in one Wavelength per unit Crest Width calculator uses Wave Height = sqrt((8*Total Energy of Wave per Width)/(Density of Fluid*[g]*Wavelength)) to calculate the Wave Height, The Wave Height given Total Wave Energy in one Wavelength per unit Crest Width formula is defined as the difference between elevations of a crest and neighbouring trough. Wave Height is denoted by H symbol.

How to calculate Wave Height given Total Wave Energy in one Wavelength per unit Crest Width using this online calculator? To use this online calculator for Wave Height given Total Wave Energy in one Wavelength per unit Crest Width, enter Total Energy of Wave per Width (TE), Density of Fluid (ρ) & Wavelength (λ) and hit the calculate button. Here is how the Wave Height given Total Wave Energy in one Wavelength per unit Crest Width calculation can be explained with given input values -> 0.709527 = sqrt((8*20.26)/(1.225*[g]*1.5)).

FAQ

What is Wave Height given Total Wave Energy in one Wavelength per unit Crest Width?

The Wave Height given Total Wave Energy in one Wavelength per unit Crest Width formula is defined as the difference between elevations of a crest and neighbouring trough and is represented as H = sqrt((8*TE)/(ρ*[g]*λ)) or Wave Height = sqrt((8*Total Energy of Wave per Width)/(Density of Fluid*[g]*Wavelength)). Total Energy of Wave per Width is the sum of its kinetic energy and its potential energy, Density of Fluid is the mass of fluid per unit volume of the fluid & Wavelength refers to the distance between successive crests or troughs of a wave.

How to calculate Wave Height given Total Wave Energy in one Wavelength per unit Crest Width?

The Wave Height given Total Wave Energy in one Wavelength per unit Crest Width formula is defined as the difference between elevations of a crest and neighbouring trough is calculated using Wave Height = sqrt((8*Total Energy of Wave per Width)/(Density of Fluid*[g]*Wavelength)). To calculate Wave Height given Total Wave Energy in one Wavelength per unit Crest Width, you need Total Energy of Wave per Width (TE), Density of Fluid (ρ) & Wavelength (λ). With our tool, you need to enter the respective value for Total Energy of Wave per Width, Density of Fluid & Wavelength 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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