Wavelength given Group Velocity of Shallow Water Calculator

✖Group Velocity for Shallow Water is the speed at which a group of waves travels through shallow water, crucial for understanding how energy and momentum are transferred within wave groups.ⓘ Group Velocity for Shallow Water [Vg_shallow]			+10% -10%
✖Annual Wave Period is the average period of ocean waves recorded over a year at a specific location. Accurate wave period is essential for ensuring the sustainable management.ⓘ Annual Wave Period [P_wave]			+10% -10%

✖Wavelength is the distance between successive peaks or troughs of a wave. It is crucial in understanding the behavior of waves, particularly in relation to subsurface pressure.ⓘ Wavelength given Group Velocity of Shallow Water [λ]

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Formula

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Wavelength given Group Velocity of Shallow Water

Formula

λ = Vg shallow \cdot P wave

Example

27.33651 m = 26.01 m/s \cdot 1.051 s

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Wavelength given Group Velocity of Shallow Water Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wavelength = Group Velocity for Shallow Water*Annual Wave Period
λ = Vg_shallow*P_wave
This formula uses 3 Variables

Variables Used

Wavelength - (Measured in Meter) - Wavelength is the distance between successive peaks or troughs of a wave. It is crucial in understanding the behavior of waves, particularly in relation to subsurface pressure.
Group Velocity for Shallow Water - (Measured in Meter per Second) - Group Velocity for Shallow Water is the speed at which a group of waves travels through shallow water, crucial for understanding how energy and momentum are transferred within wave groups.
Annual Wave Period - (Measured in Second) - Annual Wave Period is the average period of ocean waves recorded over a year at a specific location. Accurate wave period is essential for ensuring the sustainable management.

STEP 1: Convert Input(s) to Base Unit

Group Velocity for Shallow Water: 26.01 Meter per Second --> 26.01 Meter per Second No Conversion Required
Annual Wave Period: 1.051 Second --> 1.051 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ = Vg_shallow*P_wave --> 26.01*1.051

Evaluating ... ...

λ = 27.33651

STEP 3: Convert Result to Output's Unit

27.33651 Meter --> No Conversion Required

FINAL ANSWER

27.33651 Meter <-- Wavelength

(Calculation completed in 00.004 seconds)

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< Group Velocity Calculators

Group Velocity of Wave given Wavelength and Wave Period

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

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

Deepwater Wavelength

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

Deepwater Celerity

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

Wavelength given Group Velocity of Shallow Water Formula

Wavelength = Group Velocity for Shallow Water*Annual Wave Period
λ = Vg_shallow*P_wave

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 for Shallow Water*Annual Wave Period to calculate the Wavelength, The Wavelength given Group Velocity of Shallow Water Formula is defined as the distance between consecutive crests or troughs of a wave. It plays a crucial role in determining the behavior of waves in shallow water environments. When discussing shallow water waves, the group velocity represents the speed at which wave packets or groups of waves propagate through the water. 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 for Shallow Water (Vg_shallow) & Annual Wave Period (P_wave) and hit the calculate button. Here is how the Wavelength given Group Velocity of Shallow Water calculation can be explained with given input values -> 27.33651 = 26.01*1.051.

FAQ

What is Wavelength given Group Velocity of Shallow Water?

The Wavelength given Group Velocity of Shallow Water Formula is defined as the distance between consecutive crests or troughs of a wave. It plays a crucial role in determining the behavior of waves in shallow water environments. When discussing shallow water waves, the group velocity represents the speed at which wave packets or groups of waves propagate through the water and is represented as λ = Vg_shallow*P_wave or Wavelength = Group Velocity for Shallow Water*Annual Wave Period. Group Velocity for Shallow Water is the speed at which a group of waves travels through shallow water, crucial for understanding how energy and momentum are transferred within wave groups & Annual Wave Period is the average period of ocean waves recorded over a year at a specific location. Accurate wave period is essential for ensuring the sustainable management.

How to calculate Wavelength given Group Velocity of Shallow Water?

The Wavelength given Group Velocity of Shallow Water Formula is defined as the distance between consecutive crests or troughs of a wave. It plays a crucial role in determining the behavior of waves in shallow water environments. When discussing shallow water waves, the group velocity represents the speed at which wave packets or groups of waves propagate through the water is calculated using Wavelength = Group Velocity for Shallow Water*Annual Wave Period. To calculate Wavelength given Group Velocity of Shallow Water, you need Group Velocity for Shallow Water (Vg_shallow) & Annual Wave Period (P_wave). With our tool, you need to enter the respective value for Group Velocity for Shallow Water & 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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