Wavelength given wave steepness Calculator

✖Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.ⓘ Wave Height [H]			+10% -10%
✖Wave Steepness is defined as the ratio of wave height H to the wavelength λ.ⓘ Wave Steepness [ε_s]			+10% -10%

✖Wavelength can be defined as the distance between two successive crests or troughs of a wave.ⓘ Wavelength given wave steepness [λ]

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Formula

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Wavelength given wave steepness

Formula

`"λ" = "H"/"ε"_{"s"}`

Example

`"100m"="3m"/"0.03"`

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Wavelength given wave steepness Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wavelength = Wave Height/Wave Steepness
λ = H/ε_s
This formula uses 3 Variables

Variables Used

Wavelength - (Measured in Meter) - Wavelength can be defined as the distance between two successive crests or troughs of a wave.
Wave Height - (Measured in Meter) - Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough.
Wave Steepness - Wave Steepness is defined as the ratio of wave height H to the wavelength λ.

STEP 1: Convert Input(s) to Base Unit

Wave Height: 3 Meter --> 3 Meter No Conversion Required
Wave Steepness: 0.03 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ = H/ε_s --> 3/0.03

Evaluating ... ...

λ = 100

STEP 3: Convert Result to Output's Unit

100 Meter --> No Conversion Required

FINAL ANSWER

100 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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NSS College of Engineering (NSSCE), Palakkad

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< 20 Wave Height Calculators

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Go Wave Height = -Fluid Particle Displacements*(4*pi*Wavelength)*(cosh(2*pi*Water Depth/Wavelength))/([g]*Wave Period^2)*((cosh(2*pi*(Distance above the Bottom)/Wavelength)))*sin(Phase Angle)

Wave Height for Vertical Fluid Particle Displacements

Go Wave Height = Fluid Particle Displacements*(4*pi*Wavelength)*cosh(2*pi*Water Depth/Wavelength)/([g]*Wave Period^2*sinh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle))

Wave Height for Vertical Component of Local Fluid Velocity

Go Wave Height = (Vertical Component of Velocity*2*Wavelength)*cosh(2*pi*Water Depth/Wavelength)/([g]*Wave Period*sinh(2*pi*(Distance above the Bottom)/Wavelength)*sin(Phase Angle))

Wave Height for Horizontal Component of Local Fluid Velocity

Go Wave Height = Water Particle Velocity*2*Wavelength*cosh(2*pi*Depth of Water Wave/Wavelength)/([g]*Wave Period*cosh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle))

Wave height for local fluid particle acceleration of vertical component

Go Wave Height = -(Local Fluid Particle Acceleration*Wavelength*cosh(2*pi*Water Depth/Wavelength)/([g]*pi*sinh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle)))

Wave height for local fluid particle acceleration of horizontal component

Go Wave Height = Local Fluid Particle Acceleration*Wavelength*cosh(2*pi*Water Depth/Wavelength)/([g]*pi*cosh(2*pi*(Distance above the Bottom)/Wavelength)*sin(Phase Angle))

Wave Height for simplified horizontal fluid particle displacements

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Wave Height for simplified vertical fluid particle displacements

Go Wave Height = Fluid Particle Displacements*2*sinh(2*pi*Water Depth/Wavelength)/sinh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle)

Wave height for major horizontal semi-axis given wavelength and wave height

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Go Wave Height = Vertical Semi-Axis*2*sinh(2*pi*Depth of Water Wave/Wavelength)/sinh(2*pi*(Distance above the Bottom)/Wavelength)

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Go Individual Wave Height = (2*Wave Height/Root Mean Square Wave Height^2)*exp(-(Wave Height^2/Root Mean Square Wave Height^2))

Wave Height represented by Rayleigh Distribution under Narrow Band Condition

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Mean Wave Period given Maximum Wave Period

Go Mean Wave Period = Maximum Wave Period/Coefficient Eckman

Wave Height given wave steepness

Go Wave Height = Wave Steepness*Wavelength

Wavelength given wave steepness

Go Wavelength = Wave Height/Wave Steepness

Significant Wave Height given Wave Period for North Sea

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Wave Height given Wave Period for Mediterranean Sea

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Wave Height given Wave Amplitude

Go Wave Height = 2*Wave Amplitude

Wave Height given Wave Period for North Atlantic Ocean

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Wavelength given wave steepness Formula

Wavelength = Wave Height/Wave Steepness
λ = H/ε_s

What are Water waves ?

water wave. Wave, a ridge or swell on the surface of a body of water, normally having a forward motion distinct from the oscillatory motion of the particles that successively compose it. Water waves are considered oscillatory or nearly oscillatory if the motion described by the water particles is circular orbits that are closed or nearly closed for each wave period.

How to Calculate Wavelength given wave steepness?

Wavelength given wave steepness calculator uses Wavelength = Wave Height/Wave Steepness to calculate the Wavelength, The Wavelength given wave steepness is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space. Wavelength is denoted by λ symbol.

How to calculate Wavelength given wave steepness using this online calculator? To use this online calculator for Wavelength given wave steepness, enter Wave Height (H) & Wave Steepness (ε_s) and hit the calculate button. Here is how the Wavelength given wave steepness calculation can be explained with given input values -> 100 = 3/0.03.

FAQ

What is Wavelength given wave steepness?

The Wavelength given wave steepness is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space and is represented as λ = H/ε_s or Wavelength = Wave Height/Wave Steepness. Wave Height of a surface wave is the difference between the elevations of a crest and a neighboring trough & Wave Steepness is defined as the ratio of wave height H to the wavelength λ.

How to calculate Wavelength given wave steepness?

The Wavelength given wave steepness is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space is calculated using Wavelength = Wave Height/Wave Steepness. To calculate Wavelength given wave steepness, you need Wave Height (H) & Wave Steepness (ε_s). With our tool, you need to enter the respective value for Wave Height & Wave Steepness 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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