Wave Height given Kinetic Energy due to Particle Motion Calculator

✖Kinetic Energy of Wave per Unit Width is the energy associated with the motion of water particles as the wave propagates through a medium.ⓘ Kinetic Energy of Wave per Unit Width [KE]			+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 Kinetic Energy due to Particle Motion [H]

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Wave Height given Kinetic Energy due to Particle Motion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Height = sqrt(Kinetic Energy of Wave per Unit Width/(0.0625*Density of Fluid*[g]*Wavelength))
H = sqrt(KE/(0.0625*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.
Kinetic Energy of Wave per Unit Width - (Measured in Joule) - Kinetic Energy of Wave per Unit Width is the energy associated with the motion of water particles as the wave propagates through a medium.
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

Kinetic Energy of Wave per Unit Width: 10.136 Joule --> 10.136 Joule 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(KE/(0.0625*ρ*[g]*λ)) --> sqrt(10.136/(0.0625*1.225*[g]*1.5))

Evaluating ... ...

H = 2.9999863632879

STEP 3: Convert Result to Output's Unit

2.9999863632879 Meter --> No Conversion Required

FINAL ANSWER

2.9999863632879 ≈ 2.999986 Meter <-- Wave Height

(Calculation completed in 00.020 seconds)

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Coorg Institute of Technology (CIT), Coorg

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< Kinetic Energy Calculators

Wave Height given Kinetic Energy due to Particle Motion

LaTeX Go Wave Height = sqrt(Kinetic Energy of Wave per Unit Width/(0.0625*Density of Fluid*[g]*Wavelength))

Wavelength for Kinetic Energy due to Particle Motion

LaTeX Go Wavelength = Kinetic Energy of Wave per Unit Width/(0.0625*Density of Fluid*[g]*Wave Height^2)

Kinetic Energy due to Particle Motion

LaTeX Go Kinetic Energy of Wave per Unit Width = (1/16)*Density of Fluid*[g]*(Wave Height^2)*Wavelength

Kinetic Energy given Total Wave Energy

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

Wave Height given Kinetic Energy due to Particle Motion Formula

LaTeX Go

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

What is Wave Number?

The Wave number 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 are particle motion and kinetic energy related?

Particles are objects in motion, so they have kinetic energy. The faster a particle moves, the more kinetic energy it has. Kinetic energy is related to heat. Energy can move, or transfer, from one particle to another when particles collide.

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 of Wave per Unit Width/(0.0625*Density of Fluid*[g]*Wavelength)) to calculate the Wave Height, The Wave Height given Kinetic Energy due to Particle Motion 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 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 of Wave per Unit Width (KE), Density of Fluid (ρ) & 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 -> 0.709737 = sqrt(10.136/(0.0625*1.225*[g]*1.5)).

FAQ

What is Wave Height given Kinetic Energy due to Particle Motion?

The Wave Height given Kinetic Energy due to Particle Motion formula is defined as the difference between elevations of a crest and neighbouring trough and is represented as H = sqrt(KE/(0.0625*ρ*[g]*λ)) or Wave Height = sqrt(Kinetic Energy of Wave per Unit Width/(0.0625*Density of Fluid*[g]*Wavelength)). Kinetic Energy of Wave per Unit Width is the energy associated with the motion of water particles as the wave propagates through a medium, 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 Kinetic Energy due to Particle Motion?

The Wave Height given Kinetic Energy due to Particle Motion formula is defined as the difference between elevations of a crest and neighbouring trough is calculated using Wave Height = sqrt(Kinetic Energy of Wave per Unit Width/(0.0625*Density of Fluid*[g]*Wavelength)). To calculate Wave Height given Kinetic Energy due to Particle Motion, you need Kinetic Energy of Wave per Unit Width (KE), Density of Fluid (ρ) & Wavelength (λ). With our tool, you need to enter the respective value for Kinetic Energy of Wave per Unit 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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