Wavelength given Group Velocity of Shallow Water Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wavelength = Group Velocity*Annual Wave Period
λ = Vg*Pwave
This formula uses 3 Variables
Variables Used
Wavelength - (Measured in Meter) - Wavelength can be defined as the distance between two successive crests or troughs of a wave.
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.
Annual Wave Period - (Measured in Second) - Annual Wave Period is the time a wave takes for two successive crests (one wavelength) to pass a specified point. The wave period is often referenced in seconds, e.g. one wave every 6 seconds.
STEP 1: Convert Input(s) to Base Unit
Group Velocity: 1.04 Meter per Second --> 1.04 Meter per Second No Conversion Required
Annual Wave Period: 15 Second --> 15 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
λ = Vg*Pwave --> 1.04*15
Evaluating ... ...
λ = 15.6
STEP 3: Convert Result to Output's Unit
15.6 Meter --> No Conversion Required
FINAL ANSWER
15.6 Meter <-- Wavelength
(Calculation completed in 00.020 seconds)

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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

Wavelength given Group Velocity of Shallow Water Formula

Wavelength = Group Velocity*Annual Wave Period
λ = Vg*Pwave

What is Group Velocity?

The 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 Wavelength given Group Velocity of Shallow Water?

Wavelength given Group Velocity of Shallow Water calculator uses Wavelength = Group Velocity*Annual Wave Period to calculate the Wavelength, The Wavelength given Group Velocity of Shallow Water is the 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. Wavelength is denoted by λ symbol.

How to calculate Wavelength given Group Velocity of Shallow Water using this online calculator? To use this online calculator for Wavelength given Group Velocity of Shallow Water, enter Group Velocity (Vg) & Annual Wave Period (Pwave) and hit the calculate button. Here is how the Wavelength given Group Velocity of Shallow Water calculation can be explained with given input values -> 15 = 1.04*15.

FAQ

What is Wavelength given Group Velocity of Shallow Water?
The Wavelength given Group Velocity of Shallow Water is the 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 and is represented as λ = Vg*Pwave or Wavelength = Group Velocity*Annual Wave Period. Group Velocity is the velocity with which the overall envelope shape of the wave's amplitudes; known as the modulation & Annual Wave Period is the time a wave takes for two successive crests (one wavelength) to pass a specified point. The wave period is often referenced in seconds, e.g. one wave every 6 seconds.
How to calculate Wavelength given Group Velocity of Shallow Water?
The Wavelength given Group Velocity of Shallow Water is the 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 is calculated using Wavelength = Group Velocity*Annual Wave Period. To calculate Wavelength given Group Velocity of Shallow Water, you need Group Velocity (Vg) & Annual Wave Period (Pwave). With our tool, you need to enter the respective value for Group Velocity & Annual 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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