Wave Height given Kinetic Energy due to Particle Motion Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wave Height = sqrt(Kinetic Energy/0.0625*Density of Fluid*[g]*Wavelength)
H = sqrt(KE/0.0625*ρfluid*[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.
Kinetic Energy - (Measured in Joule) - Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.
Density of Fluid - (Measured in Kilogram per Cubic Meter) - Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.
Wavelength - (Measured in Meter) - Wavelength can be defined as the distance between two successive crests or troughs of a wave.
STEP 1: Convert Input(s) to Base Unit
Kinetic Energy: 75 Joule --> 75 Joule No Conversion Required
Density of Fluid: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Wavelength: 26.8 Meter --> 26.8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
H = sqrt(KE/0.0625*ρfluid*[g]*λ) --> sqrt(75/0.0625*1.225*[g]*26.8)
Evaluating ... ...
H = 621.564786164725
STEP 3: Convert Result to Output's Unit
621.564786164725 Meter --> No Conversion Required
FINAL ANSWER
621.564786164725 621.5648 Meter <-- Wave Height
(Calculation completed in 00.004 seconds)

Credits

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Coorg Institute of Technology (CIT), Coorg
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4 Kinetic Energy Calculators

Wave Height given Kinetic Energy due to Particle Motion
Go Wave Height = sqrt(Kinetic Energy/0.0625*Density of Fluid*[g]*Wavelength)
Wave Length for Kinetic Energy due to Particle Motion
Go Wavelength = Kinetic Energy/(0.0625*Density of Fluid*[g]*Height of Wave Energy^2)
Kinetic Energy due to Particle Motion
Go Kinetic Energy = (1/16)*Density of Fluid*[g]*(Height of Wave Energy^2)*Wavelength
Kinetic Energy given Total Wave Energy
Go Kinetic Energy = Total Wave Energy-Potential Energy

Wave Height given Kinetic Energy due to Particle Motion Formula

Wave Height = sqrt(Kinetic Energy/0.0625*Density of Fluid*[g]*Wavelength)
H = sqrt(KE/0.0625*ρfluid*[g]*λ)

What is Wavenumber?

The Wavenumber is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance. Whereas temporal frequency can be thought of as the number of waves per unit time, wavenumber is the number of waves per unit distance.

How to Calculate Wave Height given Kinetic Energy due to Particle Motion?

Wave Height given Kinetic Energy due to Particle Motion calculator uses Wave Height = sqrt(Kinetic Energy/0.0625*Density of Fluid*[g]*Wavelength) to calculate the Wave Height, Wave Height given Kinetic Energy due to Particle Motion of surface wave is difference between elevations of crest and neighboring trough. Wave height is term used by mariners, as well as in coastal, ocean and naval engineering. Wave Height is denoted by H symbol.

How to calculate Wave Height given Kinetic Energy due to Particle Motion using this online calculator? To use this online calculator for Wave Height given Kinetic Energy due to Particle Motion, enter Kinetic Energy (KE), Density of Fluid fluid) & Wavelength (λ) and hit the calculate button. Here is how the Wave Height given Kinetic Energy due to Particle Motion calculation can be explained with given input values -> 621.5648 = sqrt(75/0.0625*1.225*[g]*26.8).

FAQ

What is Wave Height given Kinetic Energy due to Particle Motion?
Wave Height given Kinetic Energy due to Particle Motion of surface wave is difference between elevations of crest and neighboring trough. Wave height is term used by mariners, as well as in coastal, ocean and naval engineering and is represented as H = sqrt(KE/0.0625*ρfluid*[g]*λ) or Wave Height = sqrt(Kinetic Energy/0.0625*Density of Fluid*[g]*Wavelength). Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes, Density of Fluid is defined as the mass of fluid per unit volume of the said fluid & Wavelength can be defined as the distance between two successive crests or troughs of a wave.
How to calculate Wave Height given Kinetic Energy due to Particle Motion?
Wave Height given Kinetic Energy due to Particle Motion of surface wave is difference between elevations of crest and neighboring trough. Wave height is term used by mariners, as well as in coastal, ocean and naval engineering is calculated using Wave Height = sqrt(Kinetic Energy/0.0625*Density of Fluid*[g]*Wavelength). To calculate Wave Height given Kinetic Energy due to Particle Motion, you need Kinetic Energy (KE), Density of Fluid fluid) & Wavelength (λ). With our tool, you need to enter the respective value for Kinetic Energy, 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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