Group Velocity given Deepwater Celerity Calculator

✖Deep Water Wave Celerity refers to the speed at which a wave travels through deep water, where the water depth is greater than half the wavelength.ⓘ Deep Water Wave Celerity [C_o]

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✖Group Velocity for Deep Water is the speed at which a group of waves travels through deep water, crucial for understanding how energy and momentum are transferred within wave groups.ⓘ Group Velocity given Deepwater Celerity [Vg_deep]

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Formula

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Group Velocity given Deepwater Celerity

Formula

`"Vg"_{"deep"} = 0.5*"C"_{"o"}`

Example

`"0.166m/s"=0.5*"0.332m/s"`

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Group Velocity given Deepwater Celerity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Group Velocity for Deep Water = 0.5*Deep Water Wave Celerity
Vg_deep = 0.5*C_o
This formula uses 2 Variables

Variables Used

Group Velocity for Deep Water - (Measured in Meter per Second) - Group Velocity for Deep Water is the speed at which a group of waves travels through deep water, crucial for understanding how energy and momentum are transferred within wave groups.
Deep Water Wave Celerity - (Measured in Meter per Second) - Deep Water Wave Celerity refers to the speed at which a wave travels through deep water, where the water depth is greater than half the wavelength.

STEP 1: Convert Input(s) to Base Unit

Deep Water Wave Celerity: 0.332 Meter per Second --> 0.332 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Vg_deep = 0.5*C_o --> 0.5*0.332

Evaluating ... ...

Vg_deep = 0.166

STEP 3: Convert Result to Output's Unit

0.166 Meter per Second --> No Conversion Required

FINAL ANSWER

0.166 Meter per Second <-- Group Velocity for Deep Water

(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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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 for Shallow Water = 0.5*(Wavelength of Coast/Wave Period)*(1+(4*pi*Water Depth/Wavelength of Coast)/(sinh(4*pi*Water Depth/Wavelength of Coast)))

Group Velocity for Deepwater

Go Group Velocity for Deep Water = 0.5*(Deep Water Wavelength/Surf Zone Wave Period)

Wavelength given Group Velocity of Shallow Water

Go Wavelength of Coast = Group Velocity for Shallow Water*Annual Wave Period

Deepwater Wavelength

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

Wave Period given Group Velocity for Shallow Water

Go Wave Period = Wavelength of Coast/Group Velocity for Shallow Water

Group Velocity for Shallow Water

Go Group Velocity for Shallow Water = Wavelength of Coast/Wave Period

Group Velocity given Deepwater Celerity

Go Group Velocity for Deep Water = 0.5*Deep Water Wave Celerity

Deepwater Celerity

Go Deep Water Wave Celerity = Group Velocity for Deep Water/0.5

Group Velocity given Deepwater Celerity Formula

Group Velocity for Deep Water = 0.5*Deep Water Wave Celerity
Vg_deep = 0.5*C_o

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 given Deepwater Celerity?

Group Velocity given Deepwater Celerity calculator uses Group Velocity for Deep Water = 0.5*Deep Water Wave Celerity to calculate the Group Velocity for Deep Water, The Group Velocity given Deepwater Celerity is defined as the speed at which wave packets or groups of waves propagate through a medium. In deep water coastal engineering, it's crucial to understand the relationship between group velocity and deep water celerity, which is the phase speed of waves in deep water where the water depth is greater than half the wavelength. Group Velocity for Deep Water is denoted by Vg_deep symbol.

How to calculate Group Velocity given Deepwater Celerity using this online calculator? To use this online calculator for Group Velocity given Deepwater Celerity, enter Deep Water Wave Celerity (C_o) and hit the calculate button. Here is how the Group Velocity given Deepwater Celerity calculation can be explained with given input values -> 0.166 = 0.5*0.332.

FAQ

What is Group Velocity given Deepwater Celerity?

The Group Velocity given Deepwater Celerity is defined as the speed at which wave packets or groups of waves propagate through a medium. In deep water coastal engineering, it's crucial to understand the relationship between group velocity and deep water celerity, which is the phase speed of waves in deep water where the water depth is greater than half the wavelength and is represented as Vg_deep = 0.5*C_o or Group Velocity for Deep Water = 0.5*Deep Water Wave Celerity. Deep Water Wave Celerity refers to the speed at which a wave travels through deep water, where the water depth is greater than half the wavelength.

How to calculate Group Velocity given Deepwater Celerity?

The Group Velocity given Deepwater Celerity is defined as the speed at which wave packets or groups of waves propagate through a medium. In deep water coastal engineering, it's crucial to understand the relationship between group velocity and deep water celerity, which is the phase speed of waves in deep water where the water depth is greater than half the wavelength is calculated using Group Velocity for Deep Water = 0.5*Deep Water Wave Celerity. To calculate Group Velocity given Deepwater Celerity, you need Deep Water Wave Celerity (C_o). With our tool, you need to enter the respective value for Deep Water Wave Celerity 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 for Deep Water?

In this formula, Group Velocity for Deep Water uses Deep Water Wave Celerity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Group Velocity for Deep Water = 0.5*(Deep Water Wavelength/Surf Zone Wave Period)

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