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 Wave refers to the speed at which a wave propagates through a medium.
Power Per Unit Crest Length - (Measured in Watt) - Power Per Unit Crest Length is the capture of energy of wind waves to do useful work.
Wave Energy Per Unit Surface Area - (Measured in Joule per Square Meter) - Wave Energy Per Unit Surface Area is the ratio of power per unit crest length to wave group speed.
Ratio of Group Velocity to Phase Velocity - Ratio of Group Velocity to Phase Velocity, When group velocity increases, proportionately phase velocity will also increase.
STEP 1: Convert Input(s) to Base Unit
Power Per Unit Crest Length: 50 Watt --> 50 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) --> 50/(20*0.25)
Evaluating ... ...
C = 10
STEP 3: Convert Result to Output's Unit
10 Meter per Second --> No Conversion Required
FINAL ANSWER
10 Meter per Second <-- Celerity of the Wave
(Calculation completed in 00.020 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))
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 = 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
Power per unit Crest Length
Go Power Per Unit Crest Length = Wave Energy Per Unit Surface Area*Wave Group Speed
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 is defined as the speed at which an individual wave advances or “propagates”. 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 -> 10 = 50/(20*0.25).

FAQ

What is Wave Celerity given Power per unit Crest Length?
The Wave Celerity given Power per unit Crest Length is defined as the speed at which an individual wave advances or “propagates” 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 is the capture of energy of wind waves to do useful work, Wave Energy Per Unit Surface Area is the ratio of power per unit crest length to wave group speed & Ratio of Group Velocity to Phase Velocity, When group velocity increases, proportionately phase velocity will also increase.
How to calculate Wave Celerity given Power per unit Crest Length?
The Wave Celerity given Power per unit Crest Length is defined as the speed at which an individual wave advances or “propagates” 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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