✖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 [P]			+10% -10%
✖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.ⓘ Wave Celerity given Power per unit Crest Length [C]

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Formula

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Wave Celerity given Power per unit Crest Length

Formula

`"C" = "P"/("E"*"n")`

Example

`"20m/s"="100W"/("20J/m²"*"0.25")`

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Wave Celerity given Power per unit Crest Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Power Per Unit Crest Length: 100 Watt --> 100 Watt No Conversion Required
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = P/(E*n) --> 100/(20*0.25)

Evaluating ... ...

C = 20

STEP 3: Convert Result to Output's Unit

20 Meter per Second --> No Conversion Required

FINAL ANSWER

20 Meter per Second <-- Celerity of the Wave

(Calculation completed in 00.004 seconds)

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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

Wave Celerity given Power per unit Crest Length Formula

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

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 Wave Celerity given Power per unit Crest Length?

Wave Celerity given Power per unit Crest Length calculator uses Celerity of the Wave = Power Per Unit Crest Length/(Wave Energy Per Unit Surface Area*Ratio of Group Velocity to Phase Velocity) to calculate the Celerity of the Wave, The Wave Celerity given Power per unit Crest Length Formula is defined as the speed at which waves propagate through a body of water. It's a fundamental parameter in understanding wave behavior and its impact on coastal structures and ecosystems. Celerity of the Wave is denoted by C symbol.

How to calculate Wave Celerity given Power per unit Crest Length using this online calculator? To use this online calculator for Wave Celerity given Power per unit Crest Length, enter Power Per Unit Crest Length (P), Wave Energy Per Unit Surface Area (E) & Ratio of Group Velocity to Phase Velocity (n) and hit the calculate button. Here is how the Wave Celerity given Power per unit Crest Length calculation can be explained with given input values -> 20 = 100/(20*0.25).

FAQ

What is Wave Celerity given Power per unit Crest Length?

The Wave Celerity given Power per unit Crest Length Formula is defined as the speed at which waves propagate through a body of water. It's a fundamental parameter in understanding wave behavior and its impact on coastal structures and ecosystems and is represented as C = P/(E*n) or 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 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 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.

How to calculate Wave Celerity given Power per unit Crest Length?

The Wave Celerity given Power per unit Crest Length Formula is defined as the speed at which waves propagate through a body of water. It's a fundamental parameter in understanding wave behavior and its impact on coastal structures and ecosystems is calculated using Celerity of the Wave = Power Per Unit Crest Length/(Wave Energy Per Unit Surface Area*Ratio of Group Velocity to Phase Velocity). To calculate Wave Celerity given Power per unit Crest Length, you need Power Per Unit Crest Length (P), Wave Energy Per Unit Surface Area (E) & Ratio of Group Velocity to Phase Velocity (n). With our tool, you need to enter the respective value for Power Per Unit Crest Length, Wave Energy Per Unit Surface Area & Ratio of Group Velocity to Phase Velocity 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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