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

STEP 0: Pre-Calculation Summary
Formula Used
Total Energy per unit of Area = Wave Power per unit Crest Width/Group Velocity of Waves
E = P/Vg
This formula uses 3 Variables
Variables Used
Total Energy per unit of Area - (Measured in Joule) - Total Energy per unit of Area is a combination of the advection (transport) of potential and kinetic energy plus the work done by the pressures per unit width.
Wave Power per unit Crest Width - (Measured in Watt) - Wave Power per unit Crest Width is power obtained by harnessing the energy produced by waves at sea.
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.
STEP 1: Convert Input(s) to Base Unit
Wave Power per unit Crest Width: 120 Watt --> 120 Watt No Conversion Required
Group Velocity of Waves: 28.66 Meter per Second --> 28.66 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E = P/Vg --> 120/28.66
Evaluating ... ...
E = 4.18702023726448
STEP 3: Convert Result to Output's Unit
4.18702023726448 Joule --> No Conversion Required
FINAL ANSWER
4.18702023726448 4.18702 Joule <-- Total Energy per unit of Area
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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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*Mean Depth)/(sinh(Wave Number for Water Wave*Mean Depth)*cosh(Wave Number for Water Wave*Mean Depth)))))
Group Velocity of Waves
Go Group Velocity of Waves = 0.5*Wave Speed*(1+((Wave Number for Water Wave*Mean Depth)/(sinh(Wave Number for Water Wave*Mean Depth)*cosh(Wave Number for Water Wave*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 of 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 of Area
Wave Power per unit Crest Width
Go Wave Power per unit Crest Width = Total Energy per unit of Area*Group Velocity of Waves
Wavenumber given Wave Speed
Go Wave Number for Water Wave = Wave Angular Frequency/Wave Speed
Wave Speed
Go Wave Speed = Wave Angular Frequency/Wave Number for Water Wave

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

Total Energy per unit of Area = Wave Power per unit Crest Width/Group Velocity of Waves
E = P/Vg

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

Total Energy per unit of Area given Wave Power per unit Crest Width calculator uses Total Energy per unit of Area = Wave Power per unit Crest Width/Group Velocity of Waves to calculate the Total Energy per unit of Area, Total Energy per unit of Area given Wave Power per unit Crest Width is defined as combination of advection (transport) of potential and kinetic energy plus work done by pressures per unit width. Total Energy per unit of Area is denoted by E symbol.

How to calculate Total Energy per unit of Area given Wave Power per unit Crest Width using this online calculator? To use this online calculator for Total Energy per unit of Area given Wave Power per unit Crest Width, enter Wave Power per unit Crest Width (P) & Group Velocity of Waves (Vg) and hit the calculate button. Here is how the Total Energy per unit of Area given Wave Power per unit Crest Width calculation can be explained with given input values -> 4.18702 = 120/28.66.

FAQ

What is Total Energy per unit of Area given Wave Power per unit Crest Width?
Total Energy per unit of Area given Wave Power per unit Crest Width is defined as combination of advection (transport) of potential and kinetic energy plus work done by pressures per unit width and is represented as E = P/Vg or Total Energy per unit of Area = Wave Power per unit Crest Width/Group Velocity of Waves. Wave Power per unit Crest Width is power obtained by harnessing the energy produced by waves at sea & The Group Velocity of Waves is the velocity with which the overall envelope shape of the wave's amplitudes; known as the modulation.
How to calculate Total Energy per unit of Area given Wave Power per unit Crest Width?
Total Energy per unit of Area given Wave Power per unit Crest Width is defined as combination of advection (transport) of potential and kinetic energy plus work done by pressures per unit width is calculated using Total Energy per unit of Area = Wave Power per unit Crest Width/Group Velocity of Waves. To calculate Total Energy per unit of Area given Wave Power per unit Crest Width, you need Wave Power per unit Crest Width (P) & Group Velocity of Waves (Vg). With our tool, you need to enter the respective value for Wave Power per unit Crest Width & Group Velocity of Waves 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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