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Group Velocity for Shallow Water Formula

GoGroup Velocity of Wave given Wavelength and Wave Period Formula

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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. Check FAQs

Vg shallow = \frac{λ}{P}

Vg_shallow - Group Velocity for Shallow Water?λ - Wavelength?P - Wave Period?

Group Velocity for Shallow Water Example

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Here is how the Group Velocity for Shallow Water equation looks like with Values.

Here is how the Group Velocity for Shallow Water equation looks like with Units.

Here is how the Group Velocity for Shallow Water equation looks like.

26.0194 = \frac{26.8}{1.03}

26.0194m/s = \frac{26.8m}{1.03}

26.0194 = \frac{26.8}{1.03}

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Group Velocity for Shallow Water Solution

Follow our step by step solution on how to calculate Group Velocity for Shallow Water?

FIRST Step Consider the formula

Vg shallow = \frac{λ}{P}

Next Step Substitute values of Variables

∴

Vg shallow = \frac{26.8m}{1.03}

Next Step Prepare to Evaluate

∴

Vg shallow = \frac{26.8}{1.03}

Next Step Evaluate

∴

Vg shallow = 26.0194174757282m/s

LAST Step Rounding Answer

∴

Vg shallow = 26.0194m/s

Group Velocity for Shallow Water Formula Elements

Variables

Group Velocity for Shallow Water

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.

Symbol: Vg_shallow

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Group Velocity for Shallow Water

Wavelength

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.

Symbol: λ

Measurement: WavelengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wavelength

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.

Symbol: P

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Wave Period

Other Formulas to find Group Velocity for Shallow Water

Go Group Velocity of Wave given Wavelength and Wave Period

Vg shallow = 0.5 \cdot (\frac{λ}{P}) \cdot (1 + \frac{4 \cdot π \cdot \frac{d}{λ}}{\sinh (4 \cdot π \cdot \frac{d}{λ})})

Other formulas in Group Velocity category

Go Group Velocity for Deepwater

Vg deep = 0.5 \cdot (\frac{λ o}{P sz})

Go Deepwater Wavelength

λ o = \frac{Vg deep \cdot P}{0.5}

Go Deepwater Celerity

C o = \frac{Vg deep}{0.5}

Go Group Velocity given Deepwater Celerity

Vg deep = 0.5 \cdot C o

How to Evaluate Group Velocity for Shallow Water?

Group Velocity for Shallow Water evaluator uses Group Velocity for Shallow Water = Wavelength/Wave Period to evaluate the Group Velocity for Shallow Water, The Group Velocity for Shallow Water Formula is defined as the speed at which the envelope of wave groups moves through the water. It's distinct from phase velocity, which is the speed at which individual wave crests propagate. In shallow water, where waves interact with the sea floor, the group velocity can differ significantly from the phase velocity due to wave dispersion effects. Group Velocity for Shallow Water is denoted by Vg_shallow symbol.

How to evaluate Group Velocity for Shallow Water using this online evaluator? To use this online evaluator for Group Velocity for Shallow Water, enter Wavelength (λ) & Wave Period (P) and hit the calculate button.

FAQs on Group Velocity for Shallow Water

What is the formula to find Group Velocity for Shallow Water?

The formula of Group Velocity for Shallow Water is expressed as Group Velocity for Shallow Water = Wavelength/Wave Period. Here is an example- 26.01942 = 26.8/1.03.

How to calculate Group Velocity for Shallow Water?

With Wavelength (λ) & Wave Period (P) we can find Group Velocity for Shallow Water using the formula - Group Velocity for Shallow Water = Wavelength/Wave Period.

What are the other ways to Calculate Group Velocity for Shallow Water?

Here are the different ways to Calculate Group Velocity for Shallow Water-

Group Velocity for Shallow Water=0.5*(Wavelength/Wave Period)*(1+(4*pi*Water Depth/Wavelength)/(sinh(4*pi*Water Depth/Wavelength)))

Can the Group Velocity for Shallow Water be negative?

Yes, the Group Velocity for Shallow Water, measured in Speed can be negative.

Which unit is used to measure Group Velocity for Shallow Water?

Group Velocity for Shallow Water is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Group Velocity for Shallow Water can be measured.

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