Power per unit Crest Length given Ratio of Group Velocity to Phase Velocity Calculator

✖Wave Energy Per Unit Surface Area referred to as wave energy density, measures the amount of energy carried by ocean waves over a specific area.ⓘ Wave Energy Per Unit Surface Area [E]			+10% -10%
✖Ratio of Group Velocity to Phase Velocity refers to the ratio of group velocity and phase velocity of waves, is crucial for various applications, including wave transformation.ⓘ Ratio of Group Velocity to Phase Velocity [n]			+10% -10%
✖Celerity of the Waver refers to the speed of ocean waves traveling across the water surface. Understanding wave celerity is crucial for designing coastal structures and managing shoreline erosion.ⓘ Celerity of the Wave [C]			+10% -10%

✖Power Per Unit Crest Length refers to the amount of wave energy that impacts a given length of a coastal structure's crest. Understanding it, is crucial for designing and evaluating coastal defenses.ⓘ Power per unit Crest Length given Ratio of Group Velocity to Phase Velocity [P]

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Formula

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Power per unit Crest Length given Ratio of Group Velocity to Phase Velocity

Formula

`"P" = "E"*"n"*"C"`

Example

`"50W"="20J/m²"*"0.25"*"10m/s"`

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Power per unit Crest Length given Ratio of Group Velocity to Phase Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Per Unit Crest Length = Wave Energy Per Unit Surface Area*Ratio of Group Velocity to Phase Velocity*Celerity of the Wave
P = E*n*C
This formula uses 4 Variables

Variables Used

Power Per Unit Crest Length - (Measured in Watt) - Power Per Unit Crest Length refers to the amount of wave energy that impacts a given length of a coastal structure's crest. Understanding it, is crucial for designing and evaluating coastal defenses.
Wave Energy Per Unit Surface Area - (Measured in Joule per Square Meter) - Wave Energy Per Unit Surface Area referred to as wave energy density, measures the amount of energy carried by ocean waves over a specific area.
Ratio of Group Velocity to Phase Velocity - Ratio of Group Velocity to Phase Velocity refers to the ratio of group velocity and phase velocity of waves, is crucial for various applications, including wave transformation.
Celerity of the Wave - (Measured in Meter per Second) - Celerity of the Waver refers to the speed of ocean waves traveling across the water surface. Understanding wave celerity is crucial for designing coastal structures and managing shoreline erosion.

STEP 1: Convert Input(s) to Base Unit

Wave Energy Per Unit Surface Area: 20 Joule per Square Meter --> 20 Joule per Square Meter No Conversion Required
Ratio of Group Velocity to Phase Velocity: 0.25 --> No Conversion Required
Celerity of the Wave: 10 Meter per Second --> 10 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = E*n*C --> 20*0.25*10

Evaluating ... ...

P = 50

STEP 3: Convert Result to Output's Unit

50 Watt --> No Conversion Required

FINAL ANSWER

50 Watt <-- Power Per Unit Crest Length

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< 9 Wave Power Calculators

Wave Phase Velocity

Go Wave Phase Velocity = sqrt(([g]/Wave Number for Water Wave)*tanh(Wave Number for Water Wave*Water Depth of Coast))

Wave Celerity given Power per unit Crest Length

Go Celerity of the Wave = Power Per Unit Crest Length/(Wave Energy Per Unit Surface Area*Ratio of Group Velocity to Phase Velocity)

Power per unit Crest Length given Ratio of Group Velocity to Phase Velocity

Go Power Per Unit Crest Length = Wave Energy Per Unit Surface Area*Ratio of Group Velocity to Phase Velocity*Celerity of the Wave

Group Wave Celerity for Power per unit Crest Length

Go Wave Group Speed in Coastal Eng. = Power Per Unit Crest Length/Wave Energy Per Unit Surface Area

Wave Energy for Power per unit Crest Length

Go Wave Energy Per Unit Surface Area = Power Per Unit Crest Length/Wave Group Speed in Coastal Eng.

Power per unit Crest Length

Go Power Per Unit Crest Length = Wave Energy Per Unit Surface Area*Wave Group Speed in Coastal Eng.

Wave Phase Velocity for Wavelength and Wave Period

Go Wave Phase Velocity = Wavelength/Mean Wave Period

Wavelength given Certain Wave Phase Velocity

Go Wavelength = Wave Phase Velocity*Mean Wave Period

Wave Period for Certain Wave Phase Velocity

Go Mean Wave Period = Wavelength/Wave Phase Velocity

Power per unit Crest Length given Ratio of Group Velocity to Phase Velocity Formula

Power Per Unit Crest Length = Wave Energy Per Unit Surface Area*Ratio of Group Velocity to Phase Velocity*Celerity of the Wave
P = E*n*C

What is Wave Energy?

Wave energy (or wave power) is the transport and capture of energy by ocean surface waves. The energy captured is then used for all different kinds of useful work, including electricity generation, water desalination, and pumping of water.

How to Calculate Power per unit Crest Length given Ratio of Group Velocity to Phase Velocity?

Power per unit Crest Length given Ratio of Group Velocity to Phase Velocity calculator uses Power Per Unit Crest Length = Wave Energy Per Unit Surface Area*Ratio of Group Velocity to Phase Velocity*Celerity of the Wave to calculate the Power Per Unit Crest Length, The Power per unit Crest Length given Ratio of Group Velocity to Phase Velocity Formula is defined as the interplay between group and phase velocities in the context of power per unit crest length, coastal engineers can develop more effective strategies for coastal management and resilience against natural hazards like storm surges and sea-level rise. Power Per Unit Crest Length is denoted by P symbol.

How to calculate Power per unit Crest Length given Ratio of Group Velocity to Phase Velocity using this online calculator? To use this online calculator for Power per unit Crest Length given Ratio of Group Velocity to Phase Velocity, enter Wave Energy Per Unit Surface Area (E), Ratio of Group Velocity to Phase Velocity (n) & Celerity of the Wave (C) and hit the calculate button. Here is how the Power per unit Crest Length given Ratio of Group Velocity to Phase Velocity calculation can be explained with given input values -> 50 = 20*0.25*10.

FAQ

What is Power per unit Crest Length given Ratio of Group Velocity to Phase Velocity?

The Power per unit Crest Length given Ratio of Group Velocity to Phase Velocity Formula is defined as the interplay between group and phase velocities in the context of power per unit crest length, coastal engineers can develop more effective strategies for coastal management and resilience against natural hazards like storm surges and sea-level rise and is represented as P = E*n*C or Power Per Unit Crest Length = Wave Energy Per Unit Surface Area*Ratio of Group Velocity to Phase Velocity*Celerity of the Wave. Wave Energy Per Unit Surface Area referred to as wave energy density, measures the amount of energy carried by ocean waves over a specific area, Ratio of Group Velocity to Phase Velocity refers to the ratio of group velocity and phase velocity of waves, is crucial for various applications, including wave transformation & Celerity of the Waver refers to the speed of ocean waves traveling across the water surface. Understanding wave celerity is crucial for designing coastal structures and managing shoreline erosion.

How to calculate Power per unit Crest Length given Ratio of Group Velocity to Phase Velocity?

The Power per unit Crest Length given Ratio of Group Velocity to Phase Velocity Formula is defined as the interplay between group and phase velocities in the context of power per unit crest length, coastal engineers can develop more effective strategies for coastal management and resilience against natural hazards like storm surges and sea-level rise is calculated using Power Per Unit Crest Length = Wave Energy Per Unit Surface Area*Ratio of Group Velocity to Phase Velocity*Celerity of the Wave. To calculate Power per unit Crest Length given Ratio of Group Velocity to Phase Velocity, you need Wave Energy Per Unit Surface Area (E), Ratio of Group Velocity to Phase Velocity (n) & Celerity of the Wave (C). With our tool, you need to enter the respective value for Wave Energy Per Unit Surface Area, Ratio of Group Velocity to Phase Velocity & Celerity of the Wave 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 Power Per Unit Crest Length?

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

Power Per Unit Crest Length = Wave Energy Per Unit Surface Area*Wave Group Speed in Coastal Eng.

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