Group Velocity given Deepwater Celerity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Group Velocity = 0.5*Deepwater Wave Celerity
Vg = 0.5*Co
This formula uses 2 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.
Deepwater Wave Celerity - (Measured in Meter per Second) - Deepwater Wave Celerity is the speed at which an individual wave advances or propagates occurring or existing in water of great depth.
STEP 1: Convert Input(s) to Base Unit
Deepwater Wave Celerity: 4.5 Meter per Second --> 4.5 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vg = 0.5*Co --> 0.5*4.5
Evaluating ... ...
Vg = 2.25
STEP 3: Convert Result to Output's Unit
2.25 Meter per Second --> No Conversion Required
FINAL ANSWER
2.25 Meter per Second <-- Group Velocity
(Calculation completed in 00.004 seconds)

Credits

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 given Deepwater Celerity Formula

Group Velocity = 0.5*Deepwater Wave Celerity
Vg = 0.5*Co

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 = 0.5*Deepwater Wave Celerity to calculate the Group Velocity, The Group Velocity given Deepwater Celerity 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 given Deepwater Celerity using this online calculator? To use this online calculator for Group Velocity given Deepwater Celerity, enter Deepwater Wave Celerity (Co) and hit the calculate button. Here is how the Group Velocity given Deepwater Celerity calculation can be explained with given input values -> 2.25 = 0.5*4.5.

FAQ

What is Group Velocity given Deepwater Celerity?
The Group Velocity given Deepwater Celerity 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 = 0.5*Co or Group Velocity = 0.5*Deepwater Wave Celerity. Deepwater Wave Celerity is the speed at which an individual wave advances or propagates occurring or existing in water of great depth.
How to calculate Group Velocity given Deepwater Celerity?
The Group Velocity given Deepwater Celerity 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 = 0.5*Deepwater Wave Celerity. To calculate Group Velocity given Deepwater Celerity, you need Deepwater Wave Celerity (Co). With our tool, you need to enter the respective value for Deepwater 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?
In this formula, Group Velocity uses Deepwater Wave Celerity. 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 = Wavelength/Wave Period
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