Wavenumber given Wave Speed Calculator

✖Wave Angular Frequency is a fundamental parameter used to describe the periodic motion of waves.ⓘ Wave Angular Frequency [ω]			+10% -10%
✖Wave Speed is the rate at which a wave travels through a medium, measured in distance per unit time.ⓘ Wave Speed [v]			+10% -10%

✖Wave Number represents the spatial frequency of a wave, indicating how many wavelengths occur in a given distance.ⓘ Wavenumber given Wave Speed [k^'']

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Formula

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Wavenumber given Wave Speed

Formula

`"k"^{"''"} = "ω"/"v"`

Example

`"0.124"="6.2rad/s"/"50m/s"`

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Wavenumber given Wave Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Number = Wave Angular Frequency/Wave Speed
k^'' = ω/v
This formula uses 3 Variables

Variables Used

Wave Number - Wave Number represents the spatial frequency of a wave, indicating how many wavelengths occur in a given distance.
Wave Angular Frequency - (Measured in Radian per Second) - Wave Angular Frequency is a fundamental parameter used to describe the periodic motion of waves.
Wave Speed - (Measured in Meter per Second) - Wave Speed is the rate at which a wave travels through a medium, measured in distance per unit time.

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

(Calculation completed in 00.020 seconds)

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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*Coastal Mean Depth)/(sinh(Wave Number for Water Wave*Coastal Mean Depth)*cosh(Wave Number for Water Wave*Coastal Mean Depth)))))

Group Velocity of Waves

Go Group Velocity of Waves = 0.5*Wave Speed*(1+((Wave Number for Water Wave*Coastal Mean Depth)/(sinh(Wave Number for Water Wave*Coastal Mean Depth)*cosh(Wave Number for Water Wave*Coastal 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 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 Area

Wave Power per unit Crest Width

Go Wave Power Per Unit Crest Width = Total Energy Per Unit Area*Group Velocity of Waves

Wavenumber given Wave Speed

Go Wave Number = Wave Angular Frequency/Wave Speed

Wave Speed

Go Wave Speed = Wave Angular Frequency/Wave Number

Wavenumber given Wave Speed Formula

Wave Number = 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 = Wave Angular Frequency/Wave Speed to calculate the Wave Number, The Wavenumber given Wave Speed is defined as the spatial frequency of wave, measured in cycles per unit distance or radians per unit distance. Wave Number 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?

The Wavenumber given Wave Speed is defined as the 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 = Wave Angular Frequency/Wave Speed. Wave Angular Frequency is a fundamental parameter used to describe the periodic motion of waves & Wave Speed is the rate at which a wave travels through a medium, measured in distance per unit time.

How to calculate Wavenumber given Wave Speed?

The Wavenumber given Wave Speed is defined as the spatial frequency of wave, measured in cycles per unit distance or radians per unit distance is calculated using Wave Number = 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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