Potential Energy per unit Length of Wave Crest Calculator

✖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.ⓘ Mass Density [ρ]			+10% -10%
✖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.ⓘ Wave Height [H]			+10% -10%
✖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.ⓘ Wavelength [λ]			+10% -10%

✖Potential Energy is the gravitational potential energy of water, which is influenced by the water's depth and the pressure exerted by the water column.ⓘ Potential Energy per unit Length of Wave Crest [PE]

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Formula

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Potential Energy per unit Length of Wave Crest

Formula

`"PE" = (1/16)*"ρ"*"[g]"*"H"^2*"λ"`

Example

`"147391.7J"=(1/16)*"997kg/m³"*"[g]"*("3m")^2*"26.8m"`

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Potential Energy per unit Length of Wave Crest Solution

STEP 0: Pre-Calculation Summary

Formula Used

Potential Energy = (1/16)*Mass Density*[g]*Wave Height^2*Wavelength
PE = (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

Potential Energy - (Measured in Joule) - Potential Energy is the gravitational potential energy of water, which is influenced by the water's depth and the pressure exerted by the water column.
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

PE = (1/16)*ρ*[g]*H^2*λ --> (1/16)*997*[g]*3^2*26.8

Evaluating ... ...

PE = 147391.74300375

STEP 3: Convert Result to Output's Unit

147391.74300375 Joule --> No Conversion Required

FINAL ANSWER

147391.74300375 ≈ 147391.7 Joule <-- Potential Energy

(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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National Institute of Technology (NIT), Warangal

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< 6 Energy per unit Length of Wave Crest Calculators

Wave Height given Kinetic Energy per unit Length of Wave Crest

Go Wave Height = sqrt(Kinetic Energy of Wave Crest/((1/16)*Mass Density*[g]*Wavelength))

Wave Height given Potential Energy per unit Length of Wave Crest

Go Wave Height = sqrt(Potential Energy/((1/16)*Mass Density*[g]*Wavelength))

Wavelength for Kinetic Energy per unit Length of Wave Crest

Go Wavelength = Kinetic Energy of Wave Crest/((1/16)*Mass Density*[g]*Wave Height^2)

Kinetic Energy per unit Length of Wave Crest

Go Kinetic Energy of Wave Crest = (1/16)*Mass Density*[g]*Wave Height^2*Wavelength

Wavelength given Potential Energy per unit Length of Wave Crest

Go Wavelength = Potential Energy/((1/16)*Mass Density*[g]*Wave Height^2)

Potential Energy per unit Length of Wave Crest

Go Potential Energy = (1/16)*Mass Density*[g]*Wave Height^2*Wavelength

Potential Energy per unit Length of Wave Crest Formula

Potential Energy = (1/16)*Mass Density*[g]*Wave Height^2*Wavelength
PE = (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 Potential Energy per unit Length of Wave Crest?

Potential Energy per unit Length of Wave Crest calculator uses Potential Energy = (1/16)*Mass Density*[g]*Wave Height^2*Wavelength to calculate the Potential Energy, The Potential Energy per unit Length of Wave Crest is defined as that part of the energy resulting from part of the fluid mass being above the trough. Potential Energy is denoted by PE symbol.

How to calculate Potential Energy per unit Length of Wave Crest using this online calculator? To use this online calculator for Potential 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 Potential Energy per unit Length of Wave Crest calculation can be explained with given input values -> 147391.7 = (1/16)*997*[g]*3^2*26.8.

FAQ

What is Potential Energy per unit Length of Wave Crest?

The Potential Energy per unit Length of Wave Crest is defined as that part of the energy resulting from part of the fluid mass being above the trough and is represented as PE = (1/16)*ρ*[g]*H^2*λ or Potential Energy = (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 Potential Energy per unit Length of Wave Crest?

The Potential Energy per unit Length of Wave Crest is defined as that part of the energy resulting from part of the fluid mass being above the trough is calculated using Potential Energy = (1/16)*Mass Density*[g]*Wave Height^2*Wavelength. To calculate Potential 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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