Deepwater Wavelength Solution

STEP 0: Pre-Calculation Summary
Formula Used
Deep Water Wavelength = (Group Velocity for Deep Water*Wave Period)/0.5
λo = (Vgdeep*P)/0.5
This formula uses 3 Variables
Variables Used
Deep Water Wavelength - (Measured in Meter) - Deep Water Wavelength refers to the distance between successive wave crests (or troughs) in deep water, where the water depth is greater than half the wavelength.
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.
Wave Period - Wave Period is the time it takes for one complete wave cycle to pass a fixed point. It affects wave energy, with longer periods indicating more energy and potential for erosion.
STEP 1: Convert Input(s) to Base Unit
Group Velocity for Deep Water: 0.166 Meter per Second --> 0.166 Meter per Second No Conversion Required
Wave Period: 1.03 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
λo = (Vgdeep*P)/0.5 --> (0.166*1.03)/0.5
Evaluating ... ...
λo = 0.34196
STEP 3: Convert Result to Output's Unit
0.34196 Meter --> No Conversion Required
FINAL ANSWER
0.34196 Meter <-- Deep Water Wavelength
(Calculation completed in 00.004 seconds)

Credits

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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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Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
Chandana P Dev has verified this Calculator and 1700+ more calculators!

Group Velocity Calculators

Group Velocity of Wave given Wavelength and Wave Period
​ LaTeX ​ Go Group Velocity for Shallow Water = 0.5*(Wavelength/Wave Period)*(1+(4*pi*Water Depth/Wavelength)/(sinh(4*pi*Water Depth/Wavelength)))
Group Velocity for Deepwater
​ LaTeX ​ Go Group Velocity for Deep Water = 0.5*(Deep Water Wavelength/Surf Zone Wave Period)
Deepwater Wavelength
​ LaTeX ​ Go Deep Water Wavelength = (Group Velocity for Deep Water*Wave Period)/0.5
Deepwater Celerity
​ LaTeX ​ Go Deep Water Wave Celerity = Group Velocity for Deep Water/0.5

Deepwater Wavelength Formula

​LaTeX ​Go
Deep Water Wavelength = (Group Velocity for Deep Water*Wave Period)/0.5
λo = (Vgdeep*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 for Deep Water*Wave Period)/0.5 to calculate the Deep Water Wavelength, The Deepwater Wavelength Formula is defined as the distance between successive crests (or troughs) of a wave when it is traveling in deep water, where the depth is greater than half the wavelength, understanding the deep-water wavelength is crucial for predicting how waves will behave as they approach the shore and interact with the seabed. Deep Water Wavelength is denoted by λo symbol.

How to calculate Deepwater Wavelength using this online calculator? To use this online calculator for Deepwater Wavelength, enter Group Velocity for Deep Water (Vgdeep) & Wave Period (P) and hit the calculate button. Here is how the Deepwater Wavelength calculation can be explained with given input values -> 0.34196 = (0.166*1.03)/0.5.

FAQ

What is Deepwater Wavelength?
The Deepwater Wavelength Formula is defined as the distance between successive crests (or troughs) of a wave when it is traveling in deep water, where the depth is greater than half the wavelength, understanding the deep-water wavelength is crucial for predicting how waves will behave as they approach the shore and interact with the seabed and is represented as λo = (Vgdeep*P)/0.5 or Deep Water Wavelength = (Group Velocity for Deep Water*Wave Period)/0.5. 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 & Wave Period is the time it takes for one complete wave cycle to pass a fixed point. It affects wave energy, with longer periods indicating more energy and potential for erosion.
How to calculate Deepwater Wavelength?
The Deepwater Wavelength Formula is defined as the distance between successive crests (or troughs) of a wave when it is traveling in deep water, where the depth is greater than half the wavelength, understanding the deep-water wavelength is crucial for predicting how waves will behave as they approach the shore and interact with the seabed is calculated using Deep Water Wavelength = (Group Velocity for Deep Water*Wave Period)/0.5. To calculate Deepwater Wavelength, you need Group Velocity for Deep Water (Vgdeep) & Wave Period (P). With our tool, you need to enter the respective value for Group Velocity for Deep Water & 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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