Kinetic Energy per unit Length of Wave Crest Calculator

✖Mass Density is a physical quantity that represents the mass of a substance per unit volume.ⓘ Mass Density [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 is the distance between two successive crests or troughs of a wave.ⓘ Wavelength [λ]			+10% -10%

✖Kinetic Energy of Wave Crest is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.ⓘ Kinetic Energy per unit Length of Wave Crest [KE]

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Formula

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Kinetic Energy per unit Length of Wave Crest

Formula

`"KE" = (1/16)*"ρ"*"[g]"*"H"^2*"λ"`

Example

`"147.3917KJ"=(1/16)*"997kg/m³"*"[g]"*("3m")^2*"26.8m"`

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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 is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.
Mass Density - (Measured in Kilogram per Cubic Meter) - Mass Density is a physical quantity that represents the mass of a substance per unit volume.
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 is the distance between two successive crests or troughs of a wave.

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 00.020 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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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

Kinetic Energy per unit Length of Wave Crest Formula

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 is defined with the linear theory as that part of the total energy due to water particle velocities associated with wave motion. 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 is defined with the linear theory as that part of the total energy due to water particle velocities associated with wave motion 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 a physical quantity that represents the mass of a substance per unit volume, Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough & Wavelength is the distance between two successive crests or troughs of a wave.

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

The Kinetic Energy per unit Length of Wave Crest is defined with the linear theory as that part of the total energy due to water particle velocities associated with wave motion 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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