Kinetic Energy per unit Length of Wave Crest Solution

STEP 0: Pre-Calculation Summary
Formula Used
Kinetic Energy of Wave Crest = (1/16)*Mass Density*[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 Crest - (Measured in Joule) - Kinetic Energy of Wave Crest influences the subsurface pressure experienced at different depths. This pressure affects the design and stability of underwater structures, such as pipelines.
Mass Density - (Measured in Kilogram per Cubic Meter) - Mass Density is crucial for understanding the distribution of pressures exerted by overlying soil or water layers on underground structures like foundations, tunnels, or pipelines.
Wave Height - (Measured in Meter) - Wave Height is the vertical distance between the crest and the trough of a wave. Higher wave heights correspond to greater wave forces, which leads to increased structural loading.
Wavelength - (Measured in Meter) - Wavelength is the distance between successive peaks or troughs of a wave. It is crucial in understanding the behavior of waves, particularly in relation to subsurface pressure.
STEP 1: Convert Input(s) to Base Unit
Mass Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Wave Height: 3 Meter --> 3 Meter No Conversion Required
Wavelength: 26.8 Meter --> 26.8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
KE = (1/16)*ρ*[g]*H^2*λ --> (1/16)*997*[g]*3^2*26.8
Evaluating ... ...
KE = 147391.74300375
STEP 3: Convert Result to Output's Unit
147391.74300375 Joule -->147.39174300375 Kilojoule (Check conversion ​here)
FINAL ANSWER
147.39174300375 147.3917 Kilojoule <-- Kinetic Energy of Wave Crest
(Calculation completed in 00.004 seconds)

Credits

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Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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Verified by M Naveen
National Institute of Technology (NIT), Warangal
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Energy per unit Length of Wave Crest Calculators

Wave Height given Kinetic Energy per unit Length of Wave Crest
​ LaTeX ​ Go Wave Height = sqrt(Kinetic Energy of Wave Crest/((1/16)*Mass Density*[g]*Wavelength))
Wavelength for Kinetic Energy per unit Length of Wave Crest
​ LaTeX ​ Go Wavelength = Kinetic Energy of Wave Crest/((1/16)*Mass Density*[g]*Wave Height^2)
Kinetic Energy per unit Length of Wave Crest
​ LaTeX ​ Go Kinetic Energy of Wave Crest = (1/16)*Mass Density*[g]*Wave Height^2*Wavelength
Potential Energy per unit Length of Wave Crest
​ LaTeX ​ Go Potential Energy = (1/16)*Mass Density*[g]*Wave Height^2*Wavelength

Kinetic Energy per unit Length of Wave Crest Formula

​LaTeX ​Go
Kinetic Energy of Wave Crest = (1/16)*Mass Density*[g]*Wave Height^2*Wavelength
KE = (1/16)*ρ*[g]*H^2*λ

What is Wavelength?

Wavelength, distance between corresponding points of two consecutive waves. “Corresponding points” refers to two points or particles in the same phase i.e., points that have completed identical fractions of their periodic motion.

How to Calculate Kinetic Energy per unit Length of Wave Crest?

Kinetic Energy per unit Length of Wave Crest calculator uses Kinetic Energy of Wave Crest = (1/16)*Mass Density*[g]*Wave Height^2*Wavelength to calculate the Kinetic Energy of Wave Crest, The Kinetic Energy per unit Length of Wave Crest Formula is defined as the amount of kinetic energy associated with a unit length of a wave front, perpendicular to the direction of wave propagation. In coastal and ocean engineering, this metric is crucial for understanding the energy dynamics of ocean waves, particularly when assessing the impact of waves on coastal structures and subsurface environments. Kinetic Energy of Wave Crest is denoted by KE symbol.

How to calculate Kinetic Energy per unit Length of Wave Crest using this online calculator? To use this online calculator for Kinetic Energy per unit Length of Wave Crest, enter Mass Density (ρ), Wave Height (H) & Wavelength (λ) and hit the calculate button. Here is how the Kinetic Energy per unit Length of Wave Crest calculation can be explained with given input values -> 0.147392 = (1/16)*997*[g]*3^2*26.8.

FAQ

What is Kinetic Energy per unit Length of Wave Crest?
The Kinetic Energy per unit Length of Wave Crest Formula is defined as the amount of kinetic energy associated with a unit length of a wave front, perpendicular to the direction of wave propagation. In coastal and ocean engineering, this metric is crucial for understanding the energy dynamics of ocean waves, particularly when assessing the impact of waves on coastal structures and subsurface environments and is represented as KE = (1/16)*ρ*[g]*H^2*λ or Kinetic Energy of Wave Crest = (1/16)*Mass Density*[g]*Wave Height^2*Wavelength. Mass Density is crucial for understanding the distribution of pressures exerted by overlying soil or water layers on underground structures like foundations, tunnels, or pipelines, Wave Height is the vertical distance between the crest and the trough of a wave. Higher wave heights correspond to greater wave forces, which leads to increased structural loading & Wavelength is the distance between successive peaks or troughs of a wave. It is crucial in understanding the behavior of waves, particularly in relation to subsurface pressure.
How to calculate Kinetic Energy per unit Length of Wave Crest?
The Kinetic Energy per unit Length of Wave Crest Formula is defined as the amount of kinetic energy associated with a unit length of a wave front, perpendicular to the direction of wave propagation. In coastal and ocean engineering, this metric is crucial for understanding the energy dynamics of ocean waves, particularly when assessing the impact of waves on coastal structures and subsurface environments is calculated using Kinetic Energy of Wave Crest = (1/16)*Mass Density*[g]*Wave Height^2*Wavelength. To calculate Kinetic Energy per unit Length of Wave Crest, you need Mass Density (ρ), Wave Height (H) & Wavelength (λ). With our tool, you need to enter the respective value for Mass Density, Wave Height & 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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