Wavelength for 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%
✖Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.ⓘ Wave Height [H]			+10% -10%

✖Wavelength refers to the distance between successive crests or troughs of a wave.ⓘ Wavelength for Kinetic Energy due to Particle Motion [λ]

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Formula

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Wavelength for Kinetic Energy due to Particle Motion

Formula

`"λ" = "KE"/(0.0625*"ρ"*"[g]"*"H"^2)`

Example

`"1.499986m"="10.136J"/(0.0625*"1.225kg/m³"*"[g]"*("3m")^2)`

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Wavelength for Kinetic Energy due to Particle Motion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wavelength = Kinetic Energy of Wave per Unit Width/(0.0625*Density of Fluid*[g]*Wave Height^2)
λ = KE/(0.0625*ρ*[g]*H^2)
This formula uses 1 Constants, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Wavelength - (Measured in Meter) - Wavelength refers to the distance between successive crests or troughs of a wave.
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.
Wave Height - (Measured in Meter) - Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.

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
Wave Height: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ = KE/(0.0625*ρ*[g]*H^2) --> 10.136/(0.0625*1.225*[g]*3^2)

Evaluating ... ...

λ = 1.4999863633189

STEP 3: Convert Result to Output's Unit

1.4999863633189 Meter --> No Conversion Required

FINAL ANSWER

1.4999863633189 ≈ 1.499986 Meter <-- Wavelength

(Calculation completed in 00.020 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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NSS College of Engineering (NSSCE), Palakkad

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< 4 Kinetic Energy Calculators

Wave Height given Kinetic Energy due to Particle Motion

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

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

Kinetic Energy due to Particle Motion

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

Kinetic Energy given Total Wave Energy

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

Wavelength for Kinetic Energy due to Particle Motion Formula

Wavelength = Kinetic Energy of Wave per Unit Width/(0.0625*Density of Fluid*[g]*Wave Height^2)
λ = KE/(0.0625*ρ*[g]*H^2)

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 of 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 Wavelength for Kinetic Energy due to Particle Motion?

Wavelength for Kinetic Energy due to Particle Motion calculator uses Wavelength = Kinetic Energy of Wave per Unit Width/(0.0625*Density of Fluid*[g]*Wave Height^2) to calculate the Wavelength, The Wavelength for Kinetic Energy due to Particle Motion formula is defined as the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space. Wavelength is denoted by λ symbol.

How to calculate Wavelength for Kinetic Energy due to Particle Motion using this online calculator? To use this online calculator for Wavelength for Kinetic Energy due to Particle Motion, enter Kinetic Energy of Wave per Unit Width (KE), Density of Fluid (ρ) & Wave Height (H) and hit the calculate button. Here is how the Wavelength for Kinetic Energy due to Particle Motion calculation can be explained with given input values -> 1.499986 = 10.136/(0.0625*1.225*[g]*3^2).

FAQ

What is Wavelength for Kinetic Energy due to Particle Motion?

The Wavelength for Kinetic Energy due to Particle Motion formula is defined as the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space and is represented as λ = KE/(0.0625*ρ*[g]*H^2) or Wavelength = Kinetic Energy of Wave per Unit Width/(0.0625*Density of Fluid*[g]*Wave Height^2). 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 & Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.

How to calculate Wavelength for Kinetic Energy due to Particle Motion?

The Wavelength for Kinetic Energy due to Particle Motion formula is defined as the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space is calculated using Wavelength = Kinetic Energy of Wave per Unit Width/(0.0625*Density of Fluid*[g]*Wave Height^2). To calculate Wavelength for Kinetic Energy due to Particle Motion, you need Kinetic Energy of Wave per Unit Width (KE), Density of Fluid (ρ) & Wave Height (H). With our tool, you need to enter the respective value for Kinetic Energy of Wave per Unit Width, Density of Fluid & Wave Height 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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