Kinetic Energy due to Particle Motion Solution

STEP 0: Pre-Calculation Summary
Formula Used
Kinetic Energy of Wave per Unit Width = (1/16)*Density of Fluid*[g]*(Wave Height^2)*Wavelength
KE = (1/16)*ρ*[g]*(H^2)*λ
This formula uses 1 Constants, 4 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
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.
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
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
Wavelength: 1.5 Meter --> 1.5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
KE = (1/16)*ρ*[g]*(H^2)*λ --> (1/16)*1.225*[g]*(3^2)*1.5
Evaluating ... ...
KE = 10.1360921484375
STEP 3: Convert Result to Output's Unit
10.1360921484375 Joule --> No Conversion Required
FINAL ANSWER
10.1360921484375 10.13609 Joule <-- Kinetic Energy of Wave per Unit Width
(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

Kinetic Energy due to Particle Motion Formula

​LaTeX ​Go
Kinetic Energy of Wave per Unit Width = (1/16)*Density of Fluid*[g]*(Wave Height^2)*Wavelength
KE = (1/16)*ρ*[g]*(H^2)*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 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 Kinetic Energy due to Particle Motion?

Kinetic Energy due to Particle Motion calculator uses Kinetic Energy of Wave per Unit Width = (1/16)*Density of Fluid*[g]*(Wave Height^2)*Wavelength to calculate the Kinetic Energy of Wave per Unit Width, The Kinetic Energy due to Particle Motion formula is defined as the energy possessed by particles due to motion. Particles of a solid cannot move around because they are closely packed, hence they have the least kinetic energy. Kinetic Energy of Wave per Unit Width is denoted by KE symbol.

How to calculate Kinetic Energy due to Particle Motion using this online calculator? To use this online calculator for Kinetic Energy due to Particle Motion, enter Density of Fluid (ρ), Wave Height (H) & Wavelength (λ) and hit the calculate button. Here is how the Kinetic Energy due to Particle Motion calculation can be explained with given input values -> 181.0982 = (1/16)*1.225*[g]*(3^2)*1.5.

FAQ

What is Kinetic Energy due to Particle Motion?
The Kinetic Energy due to Particle Motion formula is defined as the energy possessed by particles due to motion. Particles of a solid cannot move around because they are closely packed, hence they have the least kinetic energy and is represented as KE = (1/16)*ρ*[g]*(H^2)*λ or Kinetic Energy of Wave per Unit Width = (1/16)*Density of Fluid*[g]*(Wave Height^2)*Wavelength. 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 & Wavelength refers to the distance between successive crests or troughs of a wave.
How to calculate Kinetic Energy due to Particle Motion?
The Kinetic Energy due to Particle Motion formula is defined as the energy possessed by particles due to motion. Particles of a solid cannot move around because they are closely packed, hence they have the least kinetic energy is calculated using Kinetic Energy of Wave per Unit Width = (1/16)*Density of Fluid*[g]*(Wave Height^2)*Wavelength. To calculate Kinetic Energy due to Particle Motion, you need Density of Fluid (ρ), Wave Height (H) & Wavelength (λ). With our tool, you need to enter the respective value for Density of Fluid, Wave Height & Wavelength and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Kinetic Energy of Wave per Unit Width?
In this formula, Kinetic Energy of Wave per Unit Width uses Density of Fluid, Wave Height & Wavelength. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Kinetic Energy of Wave per Unit Width = Total Energy of Wave per Width-Potential Energy per Unit Width
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