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Group Velocity given Wave Power per unit Crest Width Formula

GoGroup Velocity of Waves Formula

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The Group Velocity of Waves refers to the velocity at which the overall shape or envelope of a wave group propagates through a medium. Check FAQs

V g = \frac{P}{E}

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

Group Velocity given Wave Power per unit Crest Width Example

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Here is how the Group Velocity given Wave Power per unit Crest Width equation looks like with Values.

Here is how the Group Velocity given Wave Power per unit Crest Width equation looks like with Units.

Here is how the Group Velocity given Wave Power per unit Crest Width equation looks like.

28.7081 = \frac{120}{4.18}

28.7081m/s = \frac{120W}{4.18J}

28.7081 = \frac{120}{4.18}

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Group Velocity given Wave Power per unit Crest Width Solution

Follow our step by step solution on how to calculate Group Velocity given Wave Power per unit Crest Width?

FIRST Step Consider the formula

V g = \frac{P}{E}

Next Step Substitute values of Variables

∴

V g = \frac{120W}{4.18J}

Next Step Prepare to Evaluate

∴

V g = \frac{120}{4.18}

Next Step Evaluate

∴

V g = 28.7081339712919m/s

LAST Step Rounding Answer

∴

V g = 28.7081m/s

Group Velocity given Wave Power per unit Crest Width Formula Elements

Variables

Group Velocity of Waves

The Group Velocity of Waves refers to the velocity at which the overall shape or envelope of a wave group propagates through a medium.

Symbol: V_g

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Group Velocity of Waves

Wave Power Per Unit Crest Width

Wave Power Per Unit Crest Width represents the amount of power carried by a wave per unit width of its crest.

Symbol: P

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Wave Power Per Unit Crest Width

Total Energy Per Unit Area

Total Energy Per Unit Area refers to the rate at which energy is transported by a wave per unit area perpendicular to the direction of wave propagation.

Symbol: E

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Total Energy Per Unit Area

Other Formulas to find Group Velocity of Waves

Go Group Velocity of Waves

V g = 0.5 \cdot v \cdot (1 + (\frac{k \cdot d}{\sinh (k \cdot d) \cdot \cosh (k \cdot d)}))

Other formulas in Group Velocity, Beats, Energy Transport category

Go Wave Power per unit Crest Width

P = E \cdot V g

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

E = \frac{P}{V g}

Go Wave Speed

v = \frac{ω}{k''}

Go Radian Frequency given Wave Propagation

ω = k \cdot x

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

Group Velocity given Wave Power per unit Crest Width evaluator uses Group Velocity of Waves = Wave Power Per Unit Crest Width/Total Energy Per Unit Area to evaluate the Group Velocity of Waves, The Group Velocity given Wave Power per unit Crest Width formula 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 evaluate Group Velocity given Wave Power per unit Crest Width using this online evaluator? To use this online evaluator 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.

FAQs on Group Velocity given Wave Power per unit Crest Width

What is the formula to find Group Velocity given Wave Power per unit Crest Width?

The formula of Group Velocity given Wave Power per unit Crest Width is expressed as Group Velocity of Waves = Wave Power Per Unit Crest Width/Total Energy Per Unit Area. Here is an example- 28.70813 = 120/4.18.

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

With Wave Power Per Unit Crest Width (P) & Total Energy Per Unit Area (E) we can find Group Velocity given Wave Power per unit Crest Width using the formula - Group Velocity of Waves = Wave Power Per Unit Crest Width/Total Energy Per Unit Area.

What are the other ways to Calculate Group Velocity of Waves?

Here are the different ways to Calculate Group Velocity of Waves-

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))))

Can the Group Velocity given Wave Power per unit Crest Width be negative?

No, the Group Velocity given Wave Power per unit Crest Width, measured in Speed cannot be negative.

Which unit is used to measure Group Velocity given Wave Power per unit Crest Width?

Group Velocity given Wave Power per unit Crest Width 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 given Wave Power per unit Crest Width can be measured.

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