Deepwater Wavelength Calculator

✖Group Velocity is the velocity with which the overall envelope shape of the wave's amplitudes; known as the modulation.ⓘ Group Velocity [Vg]			+10% -10%
✖Wave Period is the time between successive peaks or troughs.ⓘ Wave Period [P]			+10% -10%

✖Deep-Water Wavelength is the wavelength of a wave when the water depth is greater than half of its wavelength.ⓘ Deepwater Wavelength [λ_o]

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Formula

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Deepwater Wavelength

Formula

`"λ"_{"o"} = ("Vg"*"P")/0.5`

Example

`"2.1424m"=("1.04m/s"*"1.03")/0.5`

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Deepwater Wavelength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deep-Water Wavelength = (Group Velocity*Wave Period)/0.5
λ_o = (Vg*P)/0.5
This formula uses 3 Variables

Variables Used

Deep-Water Wavelength - (Measured in Meter) - Deep-Water Wavelength is the wavelength of a wave when the water depth is greater than half of its wavelength.
Group Velocity - (Measured in Meter per Second) - Group Velocity is the velocity with which the overall envelope shape of the wave's amplitudes; known as the modulation.
Wave Period - Wave Period is the time between successive peaks or troughs.

STEP 1: Convert Input(s) to Base Unit

Group Velocity: 1.04 Meter per Second --> 1.04 Meter per Second No Conversion Required
Wave Period: 1.03 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ_o = (Vg*P)/0.5 --> (1.04*1.03)/0.5

Evaluating ... ...

λ_o = 2.1424

STEP 3: Convert Result to Output's Unit

2.1424 Meter --> No Conversion Required

FINAL ANSWER

2.1424 Meter <-- Deep-Water Wavelength

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Water Wave Mechanics » Subsurface Pressure » Group Velocity » Deepwater Wavelength

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< 8 Group Velocity Calculators

Group velocity of Wave given Wavelength and Wave Period

Go Group Velocity = 0.5*(Wavelength/Wave Period)*(1+(4*pi*Water Depth/Wavelength)/(sinh(4*pi*Water Depth/Wavelength)))

Group Velocity for Deepwater

Go Group Velocity = 0.5*(Deep-Water Wavelength/Surf Zone Wave period)

Deepwater Wavelength

Go Deep-Water Wavelength = (Group Velocity*Wave Period)/0.5

Wave Period given Group Velocity for Shallow Water

Go Surf Zone Wave period = Wavelength/Group Velocity

Wavelength given Group Velocity of Shallow Water

Go Wavelength = Group Velocity*Annual Wave Period

Group Velocity for Shallow Water

Go Group Velocity = Wavelength/Wave Period

Group Velocity given Deepwater Celerity

Go Group Velocity = 0.5*Deepwater Wave Celerity

Deepwater Celerity

Go Deepwater Wave Celerity = Group Velocity/0.5

Deepwater Wavelength Formula

Deep-Water Wavelength = (Group Velocity*Wave Period)/0.5
λ_o = (Vg*P)/0.5

What is Group Velocity?

Group Velocity of a wave is the velocity with which the overall envelope shape of the wave's amplitudes known as the modulation or envelope of the wave propagates through space.

How to Calculate Deepwater Wavelength?

Deepwater Wavelength calculator uses Deep-Water Wavelength = (Group Velocity*Wave Period)/0.5 to calculate the Deep-Water Wavelength, Deepwater Wavelength when Deep Water Group Velocity is Known is the 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. Deep-Water Wavelength is denoted by λ_o symbol.

How to calculate Deepwater Wavelength using this online calculator? To use this online calculator for Deepwater Wavelength, enter Group Velocity (Vg) & Wave Period (P) and hit the calculate button. Here is how the Deepwater Wavelength calculation can be explained with given input values -> 2.06 = (1.04*1.03)/0.5.

FAQ

What is Deepwater Wavelength?

Deepwater Wavelength when Deep Water Group Velocity is Known is the 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 and is represented as λ_o = (Vg*P)/0.5 or Deep-Water Wavelength = (Group Velocity*Wave Period)/0.5. Group Velocity is the velocity with which the overall envelope shape of the wave's amplitudes; known as the modulation & Wave Period is the time between successive peaks or troughs.

How to calculate Deepwater Wavelength?

Deepwater Wavelength when Deep Water Group Velocity is Known is the 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 is calculated using Deep-Water Wavelength = (Group Velocity*Wave Period)/0.5. To calculate Deepwater Wavelength, you need Group Velocity (Vg) & Wave Period (P). With our tool, you need to enter the respective value for Group Velocity & Wave Period 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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