Group Velocity for Shallow Water Calculator

✖Wavelength is the distance between two successive crests or troughs of a wave.ⓘ Wavelength [λ]			+10% -10%
✖Wave Period is the time between successive peaks or troughs.ⓘ Wave Period [P]			+10% -10%

✖Group Velocity is the velocity with which the overall envelope shape of the wave's amplitudes; known as the modulation.ⓘ Group Velocity for Shallow Water [Vg]

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Formula

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Group Velocity for Shallow Water

Formula

`"Vg" = "λ"/"P"`

Example

`"26.01942m/s"="26.8m"/"1.03"`

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Group Velocity for Shallow Water Solution

STEP 0: Pre-Calculation Summary

Formula Used

Group Velocity = Wavelength/Wave Period
Vg = λ/P
This formula uses 3 Variables

Variables Used

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.
Wavelength - (Measured in Meter) - Wavelength is the distance between two successive crests or troughs of a wave.
Wave Period - Wave Period is the time between successive peaks or troughs.

STEP 1: Convert Input(s) to Base Unit

Wavelength: 26.8 Meter --> 26.8 Meter No Conversion Required
Wave Period: 1.03 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Vg = λ/P --> 26.8/1.03

Evaluating ... ...

Vg = 26.0194174757282

STEP 3: Convert Result to Output's Unit

26.0194174757282 Meter per Second --> No Conversion Required

FINAL ANSWER

26.0194174757282 ≈ 26.01942 Meter per Second <-- Group Velocity

(Calculation completed in 00.004 seconds)

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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!

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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

Group Velocity for Shallow Water Formula

Group Velocity = Wavelength/Wave Period
Vg = λ/P

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 Group Velocity for Shallow Water?

Group Velocity for Shallow Water calculator uses Group Velocity = Wavelength/Wave Period to calculate the Group Velocity, The Group Velocity for Shallow Water 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. Group Velocity is denoted by Vg symbol.

How to calculate Group Velocity for Shallow Water using this online calculator? To use this online calculator for Group Velocity for Shallow Water, enter Wavelength (λ) & Wave Period (P) and hit the calculate button. Here is how the Group Velocity for Shallow Water calculation can be explained with given input values -> 26.01942 = 26.8/1.03.

FAQ

What is Group Velocity for Shallow Water?

The Group Velocity for Shallow Water 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 and is represented as Vg = λ/P or Group Velocity = Wavelength/Wave Period. Wavelength is the distance between two successive crests or troughs of a wave & Wave Period is the time between successive peaks or troughs.

How to calculate Group Velocity for Shallow Water?

The Group Velocity for Shallow Water 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 is calculated using Group Velocity = Wavelength/Wave Period. To calculate Group Velocity for Shallow Water, you need Wavelength (λ) & Wave Period (P). With our tool, you need to enter the respective value for Wavelength & Wave Period and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Group Velocity?

In this formula, Group Velocity uses Wavelength & Wave Period. We can use 3 other way(s) to calculate the same, which is/are as follows -

Group Velocity = 0.5*(Wavelength/Wave Period)*(1+(4*pi*Water Depth/Wavelength)/(sinh(4*pi*Water Depth/Wavelength)))
Group Velocity = 0.5*(Deep-Water Wavelength/Surf Zone Wave period)
Group Velocity = 0.5*Deepwater Wave Celerity

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