Group Velocity given Wave Power per unit Crest Width Calculator

✖Wave Power Per Unit Crest Width represents the amount of power carried by a wave per unit width of its crest.ⓘ Wave Power Per Unit Crest Width [P]			+10% -10%
✖Total Energy Per Unit Area referred to simply as wave energy density or wave power density, is a crucial parameter in understanding the energy carried by ocean waves.ⓘ Total Energy Per Unit Area [E]			+10% -10%

✖The Group Velocity of Waves is the velocity with which the overall envelope shape of the wave's amplitudes; known as the modulation.ⓘ Group Velocity given Wave Power per unit Crest Width [V_g]

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Group Velocity given Wave Power per unit Crest Width

Formula

`"V"_{"g"} = "P"/"E"`

Example

`"28.70813m/s"="120W"/"4.18J"`

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Group Velocity given Wave Power per unit Crest Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

Group Velocity of Waves = Wave Power Per Unit Crest Width/Total Energy Per Unit Area
V_g = P/E
This formula uses 3 Variables

Variables Used

Group Velocity of Waves - (Measured in Meter per Second) - The Group Velocity of Waves is the velocity with which the overall envelope shape of the wave's amplitudes; known as the modulation.
Wave Power Per Unit Crest Width - (Measured in Watt) - Wave Power Per Unit Crest Width represents the amount of power carried by a wave per unit width of its crest.
Total Energy Per Unit Area - (Measured in Joule) - Total Energy Per Unit Area referred to simply as wave energy density or wave power density, is a crucial parameter in understanding the energy carried by ocean waves.

STEP 1: Convert Input(s) to Base Unit

Wave Power Per Unit Crest Width: 120 Watt --> 120 Watt No Conversion Required
Total Energy Per Unit Area: 4.18 Joule --> 4.18 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_g = P/E --> 120/4.18

Evaluating ... ...

V_g = 28.7081339712919

STEP 3: Convert Result to Output's Unit

28.7081339712919 Meter per Second --> No Conversion Required

FINAL ANSWER

28.7081339712919 ≈ 28.70813 Meter per Second <-- Group Velocity of Waves

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Surface Gravity Waves » Group Velocity, Beats, Energy Transport » Group Velocity given Wave Power per unit Crest Width

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< 9 Group Velocity, Beats, Energy Transport Calculators

Wave Speed given Group Velocity

Go Wave Speed = Group Velocity of Waves/(0.5*(1+((Wave Number for Water Wave*Coastal Mean Depth)/(sinh(Wave Number for Water Wave*Coastal Mean Depth)*cosh(Wave Number for Water Wave*Coastal Mean Depth)))))

Group Velocity of Waves

Go Group Velocity of Waves = 0.5*Wave Speed*(1+((Wave Number for Water Wave*Coastal Mean Depth)/(sinh(Wave Number for Water Wave*Coastal Mean Depth)*cosh(Wave Number for Water Wave*Coastal Mean Depth))))

Surface Elevation

Go Surface Elevation = (Wave Height for Surface Gravity Waves/2)*cos((Wave Number for Water Wave*Propagation of Wave in One Direction)-(Wave Angular Frequency*Time))

Radian Frequency given Wave Propagation

Go Wave Angular Frequency = Wave Number for Water Wave*Propagation of Wave in One Direction

Total Energy per unit of Area given Wave Power per unit Crest Width

Go Total Energy Per Unit Area = Wave Power Per Unit Crest Width/Group Velocity of Waves

Group Velocity given Wave Power per unit Crest Width

Go Group Velocity of Waves = Wave Power Per Unit Crest Width/Total Energy Per Unit Area

Wave Power per unit Crest Width

Go Wave Power Per Unit Crest Width = Total Energy Per Unit Area*Group Velocity of Waves

Wavenumber given Wave Speed

Go Wave Number = Wave Angular Frequency/Wave Speed

Wave Speed

Go Wave Speed = Wave Angular Frequency/Wave Number

Group Velocity given Wave Power per unit Crest Width Formula

Group Velocity of Waves = Wave Power Per Unit Crest Width/Total Energy Per Unit Area
V_g = P/E

What is Wave Power and How does it Work?

Wave power is produced by the up and down motion of floating devices placed on the surface of the ocean. In other words, wind produces waves, and then waves produce energy. As the waves travel across the ocean, high-tech devices capture the natural movements of ocean currents and the flow of swells to generate power.

How to Calculate Group Velocity given Wave Power per unit Crest Width?

Group Velocity given Wave Power per unit Crest Width calculator uses Group Velocity of Waves = Wave Power Per Unit Crest Width/Total Energy Per Unit Area to calculate the Group Velocity of Waves, The Group Velocity given Wave Power per unit Crest Width is defined as group velocity with which overall envelope shape of wave's amplitudes—known as modulation or envelope of wave—propagates through space. Group Velocity of Waves is denoted by V_g symbol.

How to calculate Group Velocity given Wave Power per unit Crest Width using this online calculator? To use this online calculator for Group Velocity given Wave Power per unit Crest Width, enter Wave Power Per Unit Crest Width (P) & Total Energy Per Unit Area (E) and hit the calculate button. Here is how the Group Velocity given Wave Power per unit Crest Width calculation can be explained with given input values -> 28.70813 = 120/4.18.

FAQ

What is Group Velocity given Wave Power per unit Crest Width?

The Group Velocity given Wave Power per unit Crest Width is defined as group velocity with which overall envelope shape of wave's amplitudes—known as modulation or envelope of wave—propagates through space and is represented as V_g = P/E or Group Velocity of Waves = Wave Power Per Unit Crest Width/Total Energy Per Unit Area. Wave Power Per Unit Crest Width represents the amount of power carried by a wave per unit width of its crest & Total Energy Per Unit Area referred to simply as wave energy density or wave power density, is a crucial parameter in understanding the energy carried by ocean waves.

How to calculate Group Velocity given Wave Power per unit Crest Width?

The Group Velocity given Wave Power per unit Crest Width is defined as group velocity with which overall envelope shape of wave's amplitudes—known as modulation or envelope of wave—propagates through space is calculated using Group Velocity of Waves = Wave Power Per Unit Crest Width/Total Energy Per Unit Area. To calculate Group Velocity given Wave Power per unit Crest Width, you need Wave Power Per Unit Crest Width (P) & Total Energy Per Unit Area (E). With our tool, you need to enter the respective value for Wave Power Per Unit Crest Width & Total Energy Per Unit Area 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 of Waves?

In this formula, Group Velocity of Waves uses Wave Power Per Unit Crest Width & Total Energy Per Unit Area. We can use 1 other way(s) to calculate the same, which is/are as follows -

Group Velocity of Waves = 0.5*Wave Speed*(1+((Wave Number for Water Wave*Coastal Mean Depth)/(sinh(Wave Number for Water Wave*Coastal Mean Depth)*cosh(Wave Number for Water Wave*Coastal Mean Depth))))

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