Wavenumber given Wave Speed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wave Number for Water Wave = Wave Angular Frequency/Wave Speed
k = ω/v
This formula uses 3 Variables
Variables Used
Wave Number for Water Wave - The wave number for water waves quantifies the number of waves per unit length along the surface of the water.
Wave Angular Frequency - (Measured in Radian per Second) - Wave Angular Frequency angular displacement of the wave per unit time. Its units are therefore degrees (or radians) per second.
Wave Speed - (Measured in Meter per Second) - Wave Speed is how fast the wave travels.
STEP 1: Convert Input(s) to Base Unit
Wave Angular Frequency: 6.2 Radian per Second --> 6.2 Radian per Second No Conversion Required
Wave Speed: 50 Meter per Second --> 50 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
k = ω/v --> 6.2/50
Evaluating ... ...
k = 0.124
STEP 3: Convert Result to Output's Unit
0.124 --> No Conversion Required
FINAL ANSWER
0.124 <-- Wave Number for Water Wave
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Calculator and 2000+ more calculators!
Verified by M Naveen
National Institute of Technology (NIT), Warangal
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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

Wavenumber given Wave Speed Formula

Wave Number for Water Wave = Wave Angular Frequency/Wave Speed
k = ω/v

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 Wavenumber given Wave Speed?

Wavenumber given Wave Speed calculator uses Wave Number for Water Wave = Wave Angular Frequency/Wave Speed to calculate the Wave Number for Water Wave, Wavenumber given Wave Speed is Given is spatial frequency of wave, measured in cycles per unit distance or radians per unit distance. Wave Number for Water Wave is denoted by k symbol.

How to calculate Wavenumber given Wave Speed using this online calculator? To use this online calculator for Wavenumber given Wave Speed, enter Wave Angular Frequency (ω) & Wave Speed (v) and hit the calculate button. Here is how the Wavenumber given Wave Speed calculation can be explained with given input values -> 0.124 = 6.2/50.

FAQ

What is Wavenumber given Wave Speed?
Wavenumber given Wave Speed is Given is spatial frequency of wave, measured in cycles per unit distance or radians per unit distance and is represented as k = ω/v or Wave Number for Water Wave = Wave Angular Frequency/Wave Speed. Wave Angular Frequency angular displacement of the wave per unit time. Its units are therefore degrees (or radians) per second & Wave Speed is how fast the wave travels.
How to calculate Wavenumber given Wave Speed?
Wavenumber given Wave Speed is Given is spatial frequency of wave, measured in cycles per unit distance or radians per unit distance is calculated using Wave Number for Water Wave = Wave Angular Frequency/Wave Speed. To calculate Wavenumber given Wave Speed, you need Wave Angular Frequency (ω) & Wave Speed (v). With our tool, you need to enter the respective value for Wave Angular Frequency & Wave Speed 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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