Wavelength for Kinetic Energy per unit Length of Wave Crest Calculator

✖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 of Wave Crest [KE]			+10% -10%
✖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 for Kinetic Energy per unit Length of Wave Crest [λ]

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Formula

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Wavelength for Kinetic Energy per unit Length of Wave Crest

Formula

`"λ" = "KE"/((1/16)*"ρ"*"[g]"*"H"^2)`

Example

`"26.85605m"="147.7KJ"/((1/16)*"997kg/m³"*"[g]"*("3m")^2)`

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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 two successive crests or troughs of a wave.
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.

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 00.020 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

Wavelength for Kinetic Energy per unit Length of Wave Crest Formula

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 is the distance between corresponding points of two consecutive waves. “Corresponding points” refers to two points or particles in the same phase. 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 is the distance between corresponding points of two consecutive waves. “Corresponding points” refers to two points or particles in the same phase 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 is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity, 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.

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

The Wavelength for Kinetic Energy per unit Length of Wave Crest is the distance between corresponding points of two consecutive waves. “Corresponding points” refers to two points or particles in the same phase 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.

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