Wave Number using Angular Frequency Calculator

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✖Angular Frequency of a steadily recurring phenomenon expressed in radians per second.ⓘ Angular Frequency [ω_f]			+10% -10%
✖The Velocity of Wave is equal to the product of its wavelength and frequency (number of vibrations per second) and is independent of its intensity.ⓘ Velocity of Wave [V_w]			+10% -10%

✖Wave Number is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance.ⓘ Wave Number using Angular Frequency [k]

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Formula

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Wave Number using Angular Frequency

Formula

`"k" = "ω"_{"f"}/"V"_{"w"}`

Example

`"0.171333"="10.28Hz"/"60m/s"`

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Wave Number using Angular Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Number = Angular Frequency/Velocity of Wave
k = ω_f/V_w
This formula uses 3 Variables

Variables Used

Wave Number - Wave Number is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance.
Angular Frequency - (Measured in Hertz) - Angular Frequency of a steadily recurring phenomenon expressed in radians per second.
Velocity of Wave - (Measured in Meter per Second) - The Velocity of Wave is equal to the product of its wavelength and frequency (number of vibrations per second) and is independent of its intensity.

STEP 1: Convert Input(s) to Base Unit

Angular Frequency: 10.28 Hertz --> 10.28 Hertz No Conversion Required
Velocity of Wave: 60 Meter per Second --> 60 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k = ω_f/V_w --> 10.28/60

Evaluating ... ...

k = 0.171333333333333

STEP 3: Convert Result to Output's Unit

0.171333333333333 --> No Conversion Required

FINAL ANSWER

0.171333333333333 ≈ 0.171333 <-- Wave Number

(Calculation completed in 00.004 seconds)

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Credits

Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

Anirudh Singh has created this Calculator and 300+ more calculators!

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< 16 Waves And Sound Calculators

Length of Open Organ Pipe

Go Length of Organ Pipe = Number of Nodes/2*Velocity of Wave/Wave Frequency

Loudness

Go Loudness = 10*log10(Sound Intensity/Reference Intensity)

Velocity of Sound in Liquid

Go Velocity of Wave = sqrt(Bulk Modulus/Density)

Velocity of Sound in Solids

Go Velocity of Wave = sqrt(Elasticity/Density)

Mass per Unit Length of String

Go Mass per Unit Length = Tension of String/(Velocity of Wave^2)

Time Period given Velocity

Go Time Period of Progressive Wave = Wavelength/Velocity of Wave

Time Period using Angular Frequency

Go Time Period of Progressive Wave = (2*pi)/Angular Frequency

Tension in String

Go Tension of String = Velocity of Wave^2*Mass per Unit Length

Length of Closed Organ Pipe

Go Length of Organ Pipe = (2*Number of Nodes+1)*Wavelength/4

Wave Number using Angular Frequency

Go Wave Number = Angular Frequency/Velocity of Wave

Frequency of Wavelength using Velocity

Go Wave Frequency = Velocity of Wave/Wavelength

Frequency of Progressive Wave

Go Wave Frequency = Angular Frequency/(2*pi)

Intensity of Sound

Go Sound Intensity = Power/Normal Area

Wave Number

Go Wave Number = (2*pi)/Wavelength

Frequency of Wave using Time Period

Go Wave Frequency = 1/Time Period of Progressive Wave

Time Period using Frequency

Go Time Period of Progressive Wave = 1/Wave Frequency

Wave Number using Angular Frequency Formula

Wave Number = Angular Frequency/Velocity of Wave
k = ω_f/V_w

What is a wave number?

Wave Number is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance. Whereas temporal frequency can be thought of as the number of waves per unit time, wavenumber is the number of waves per unit distance.

How to Calculate Wave Number using Angular Frequency?

Wave Number using Angular Frequency calculator uses Wave Number = Angular Frequency/Velocity of Wave to calculate the Wave Number, Wave Number using Angular Frequency is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance. Whereas temporal frequency can be thought of as the number of waves per unit time, wavenumber is the number of waves per unit distance. Wave Number is denoted by k symbol.

How to calculate Wave Number using Angular Frequency using this online calculator? To use this online calculator for Wave Number using Angular Frequency, enter Angular Frequency (ω_f) & Velocity of Wave (V_w) and hit the calculate button. Here is how the Wave Number using Angular Frequency calculation can be explained with given input values -> 0.171333 = 10.28/60.

FAQ

What is Wave Number using Angular Frequency?

Wave Number using Angular Frequency is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance. Whereas temporal frequency can be thought of as the number of waves per unit time, wavenumber is the number of waves per unit distance and is represented as k = ω_f/V_w or Wave Number = Angular Frequency/Velocity of Wave. Angular Frequency of a steadily recurring phenomenon expressed in radians per second & The Velocity of Wave is equal to the product of its wavelength and frequency (number of vibrations per second) and is independent of its intensity.

How to calculate Wave Number using Angular Frequency?

Wave Number using Angular Frequency is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance. Whereas temporal frequency can be thought of as the number of waves per unit time, wavenumber is the number of waves per unit distance is calculated using Wave Number = Angular Frequency/Velocity of Wave. To calculate Wave Number using Angular Frequency, you need Angular Frequency (ω_f) & Velocity of Wave (V_w). With our tool, you need to enter the respective value for Angular Frequency & Velocity of Wave and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Wave Number?

In this formula, Wave Number uses Angular Frequency & Velocity of Wave. We can use 1 other way(s) to calculate the same, which is/are as follows -

Wave Number = (2*pi)/Wavelength

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