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Phase Velocity or Wave Celerity Formula

GoPhase Velocity or Wave Celerity given Radian Frequency and Wavenumber Formula

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Celerity of the Wave refers to the speed at which a wave propagates through a medium. Check FAQs

C = \frac{λ}{P}

C - Celerity of the Wave?λ - Wavelength?P - Wave Period?

Phase Velocity or Wave Celerity Example

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Here is how the Phase Velocity or Wave Celerity equation looks like with Values.

Here is how the Phase Velocity or Wave Celerity equation looks like with Units.

Here is how the Phase Velocity or Wave Celerity equation looks like.

26.0194 = \frac{26.8}{1.03}

26.0194m/s = \frac{26.8m}{1.03}

26.0194 = \frac{26.8}{1.03}

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Phase Velocity or Wave Celerity Solution

Follow our step by step solution on how to calculate Phase Velocity or Wave Celerity?

FIRST Step Consider the formula

C = \frac{λ}{P}

Next Step Substitute values of Variables

∴

C = \frac{26.8m}{1.03}

Next Step Prepare to Evaluate

∴

C = \frac{26.8}{1.03}

Next Step Evaluate

∴

C = 26.0194174757282m/s

LAST Step Rounding Answer

∴

C = 26.0194m/s

Phase Velocity or Wave Celerity Formula Elements

Variables

Celerity of the Wave

Celerity of the Wave refers to the speed at which a wave propagates through a medium.

Symbol: C

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Celerity of the Wave

Wavelength

Wavelength can be defined as the distance between two successive crests or troughs of a wave.

Symbol: λ

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wavelength

Wave Period

Wave Period is the time between successive peaks or troughs.

Symbol: P

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Wave Period

Other Formulas to find Celerity of the Wave

Go Phase Velocity or Wave Celerity given Radian Frequency and Wavenumber

C = \frac{ω}{k}

Other formulas in Wave Parameters category

Go Wave Amplitude

a = \frac{H}{2}

Go Angular of Radian Frequency of Wave

ω = 2 \cdot \frac{π}{P}

Go Wave number given wavelength

k = 2 \cdot \frac{π}{λ}

Go Radian Frequency given Wave Celerity

ω = C \cdot k

How to Evaluate Phase Velocity or Wave Celerity?

Phase Velocity or Wave Celerity evaluator uses Celerity of the Wave = Wavelength/Wave Period to evaluate the Celerity of the Wave, The Phase Velocity or Wave Celerity formula is defined as the speed at which an individual wave advances or “propagates”. For a Deepwater wave the celerity is directly proportional to the wave period. Celerity of the Wave is denoted by C symbol.

How to evaluate Phase Velocity or Wave Celerity using this online evaluator? To use this online evaluator for Phase Velocity or Wave Celerity, enter Wavelength (λ) & Wave Period (P) and hit the calculate button.

FAQs on Phase Velocity or Wave Celerity

What is the formula to find Phase Velocity or Wave Celerity?

The formula of Phase Velocity or Wave Celerity is expressed as Celerity of the Wave = Wavelength/Wave Period. Here is an example- 26.01942 = 26.8/1.03.

How to calculate Phase Velocity or Wave Celerity?

With Wavelength (λ) & Wave Period (P) we can find Phase Velocity or Wave Celerity using the formula - Celerity of the Wave = Wavelength/Wave Period.

What are the other ways to Calculate Celerity of the Wave?

Here are the different ways to Calculate Celerity of the Wave-

Celerity of the Wave=Wave Angular Frequency/Wave Number

Can the Phase Velocity or Wave Celerity be negative?

No, the Phase Velocity or Wave Celerity, measured in Speed cannot be negative.

Which unit is used to measure Phase Velocity or Wave Celerity?

Phase Velocity or Wave Celerity is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Phase Velocity or Wave Celerity can be measured.

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