Wavelength for Kinetic Energy per unit Length of Wave Crest Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wavelength = Kinetic Energy of Wave Crest/((1/16)*Mass Density*[g]*Wave Height^2)
λ = KE/((1/16)*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 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.
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.
STEP 1: Convert Input(s) to Base Unit
Kinetic Energy of Wave Crest: 147.7 Kilojoule --> 147700 Joule (Check conversion ​here)
Mass Density: 997 Kilogram per Cubic Meter --> 997 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/((1/16)*ρ*[g]*H^2) --> 147700/((1/16)*997*[g]*3^2)
Evaluating ... ...
λ = 26.8560498663707
STEP 3: Convert Result to Output's Unit
26.8560498663707 Meter --> No Conversion Required
FINAL ANSWER
26.8560498663707 26.85605 Meter <-- Wavelength
(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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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

Wavelength for Kinetic Energy per unit Length of Wave Crest Formula

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

What is Wave Crest and Wave Trough?

Wave Crest is the highest part of a wave. Wave Trough is The lowest part of a wave. Wave Height is thus defined as the the vertical distance between the wave trough and the wave crest.

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

Wavelength for Kinetic Energy per unit Length of Wave Crest calculator uses Wavelength = Kinetic Energy of Wave Crest/((1/16)*Mass Density*[g]*Wave Height^2) to calculate the Wavelength, The Wavelength for Kinetic Energy per unit Length of Wave Crest Formula is defined as the a critical parameter when analyzing wave properties, particularly in relation to the kinetic energy per unit length of wave crest. It is a fundamental property of waves, including ocean waves, and is typically measured in meters and also vital in determining the distribution of kinetic energy along the wave. This distribution is crucial for understanding how waves interact with structures and the seabed. Wavelength is denoted by λ symbol.

How to calculate Wavelength for Kinetic Energy per unit Length of Wave Crest using this online calculator? To use this online calculator for Wavelength for Kinetic Energy per unit Length of Wave Crest, enter Kinetic Energy of Wave Crest (KE), Mass Density (ρ) & Wave Height (H) and hit the calculate button. Here is how the Wavelength for Kinetic Energy per unit Length of Wave Crest calculation can be explained with given input values -> 26.85605 = 147700/((1/16)*997*[g]*3^2).

FAQ

What is Wavelength for Kinetic Energy per unit Length of Wave Crest?
The Wavelength for Kinetic Energy per unit Length of Wave Crest Formula is defined as the a critical parameter when analyzing wave properties, particularly in relation to the kinetic energy per unit length of wave crest. It is a fundamental property of waves, including ocean waves, and is typically measured in meters and also vital in determining the distribution of kinetic energy along the wave. This distribution is crucial for understanding how waves interact with structures and the seabed and is represented as λ = KE/((1/16)*ρ*[g]*H^2) or Wavelength = Kinetic Energy of Wave Crest/((1/16)*Mass Density*[g]*Wave Height^2). 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 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.
How to calculate Wavelength for Kinetic Energy per unit Length of Wave Crest?
The Wavelength for Kinetic Energy per unit Length of Wave Crest Formula is defined as the a critical parameter when analyzing wave properties, particularly in relation to the kinetic energy per unit length of wave crest. It is a fundamental property of waves, including ocean waves, and is typically measured in meters and also vital in determining the distribution of kinetic energy along the wave. This distribution is crucial for understanding how waves interact with structures and the seabed is calculated using Wavelength = Kinetic Energy of Wave Crest/((1/16)*Mass Density*[g]*Wave Height^2). To calculate Wavelength for Kinetic Energy per unit Length of Wave Crest, you need Kinetic Energy of Wave Crest (KE), Mass Density (ρ) & Wave Height (H). With our tool, you need to enter the respective value for Kinetic Energy of Wave Crest, Mass Density & Wave Height 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 Wavelength?
In this formula, Wavelength uses Kinetic Energy of Wave Crest, Mass Density & Wave Height. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Wavelength = Potential Energy/((1/16)*Mass Density*[g]*Wave Height^2)
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