Group Velocity for Deepwater Solution

STEP 0: Pre-Calculation Summary
Formula Used
Group Velocity = 0.5*(Deep-Water Wavelength/Surf Zone Wave period)
Vg = 0.5*(λo/Psz)
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.
Deep-Water Wavelength - (Measured in Meter) - Deep-Water Wavelength, deep water waves are defined as those occurring in ocean depths greater than twice the wavelength of the wave.
Surf Zone Wave period - Surf Zone Wave Period is the time between successive peaks or troughs.
STEP 1: Convert Input(s) to Base Unit
Deep-Water Wavelength: 7 Meter --> 7 Meter No Conversion Required
Surf Zone Wave period: 21 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vg = 0.5*(λo/Psz) --> 0.5*(7/21)
Evaluating ... ...
Vg = 0.166666666666667
STEP 3: Convert Result to Output's Unit
0.166666666666667 Meter per Second --> No Conversion Required
FINAL ANSWER
0.166666666666667 0.166667 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!
Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
Chandana P Dev has verified this Calculator and 1700+ more calculators!

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 Deepwater Formula

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

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 Deepwater?

Group Velocity for Deepwater calculator uses Group Velocity = 0.5*(Deep-Water Wavelength/Surf Zone Wave period) to calculate the Group Velocity, The Group Velocity for Deepwater when Deep Water Wavelength is Given 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 Deepwater using this online calculator? To use this online calculator for Group Velocity for Deepwater, enter Deep-Water Wavelength o) & Surf Zone Wave period (Psz) and hit the calculate button. Here is how the Group Velocity for Deepwater calculation can be explained with given input values -> 0.166667 = 0.5*(7/21).

FAQ

What is Group Velocity for Deepwater?
The Group Velocity for Deepwater when Deep Water Wavelength is Given 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*(λo/Psz) or Group Velocity = 0.5*(Deep-Water Wavelength/Surf Zone Wave period). Deep-Water Wavelength, deep water waves are defined as those occurring in ocean depths greater than twice the wavelength of the wave & Surf Zone Wave Period is the time between successive peaks or troughs.
How to calculate Group Velocity for Deepwater?
The Group Velocity for Deepwater when Deep Water Wavelength is Given 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*(Deep-Water Wavelength/Surf Zone Wave period). To calculate Group Velocity for Deepwater, you need Deep-Water Wavelength o) & Surf Zone Wave period (Psz). With our tool, you need to enter the respective value for Deep-Water Wavelength & Surf Zone 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 Deep-Water Wavelength & Surf Zone 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*Deepwater Wave Celerity
  • Group Velocity = Wavelength/Wave Period
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!