Celerity of Deepwater Wave Calculator

✖Deep-Water Wavelength, deep water waves are defined as those occurring in ocean depths greater than twice the wavelength of the wave.ⓘ Deep-Water Wavelength [λ_o]

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✖Deepwater Wave Celerity is the speed at which an individual wave advances or propagates occurring or existing in water of great depth.ⓘ Celerity of Deepwater Wave [C_o]

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Formula

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Celerity of Deepwater Wave

Formula

`"C"_{"o"} = sqrt(("[g]"*"λ"_{"o"})/(2*pi))`

Example

`"4.504453m/s"=sqrt(("[g]"*"13m")/(2*pi))`

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Celerity of Deepwater Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deepwater Wave Celerity = sqrt(([g]*Deep-Water Wavelength)/(2*pi))
C_o = sqrt(([g]*λ_o)/(2*pi))
This formula uses 2 Constants, 1 Functions, 2 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Deepwater Wave Celerity - (Measured in Meter per Second) - Deepwater Wave Celerity is the speed at which an individual wave advances or propagates occurring or existing in water of great depth.
Deep-Water Wavelength - (Measured in Meter) - Deep-Water Wavelength, deep water waves are defined as those occurring in ocean depths greater than twice the wavelength of the wave.

STEP 1: Convert Input(s) to Base Unit

Deep-Water Wavelength: 13 Meter --> 13 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_o = sqrt(([g]*λ_o)/(2*pi)) --> sqrt(([g]*13)/(2*pi))

Evaluating ... ...

C_o = 4.50445320707606

STEP 3: Convert Result to Output's Unit

4.50445320707606 Meter per Second --> No Conversion Required

FINAL ANSWER

4.50445320707606 ≈ 4.504453 Meter per Second <-- Deepwater Wave Celerity

(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 Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 12 Wave Celerity Calculators

Wave Celerity given Wavelength and Water Depth

Go Deepwater Wave Celerity = sqrt(((Deep-Water Wavelength*[g])/(2*pi))*tanh((2*pi*Water Depth)/Deep-Water Wavelength))

Wave Celerity given Wave Period and Wavelength

Go Deepwater Wave Celerity = (([g]*Wave Period)/(2*pi))*tanh((2*pi*Water Depth)/Deep-Water Wavelength)

Celerity of Wave given Deepwater Celerity and Wavelength

Go Celerity for Shallow Depth = (Deepwater Wave Celerity*Wavelength for Shallow Depth)/Deep-Water Wavelength

Deepwater Celerity for Deepwater wavelength

Go Deepwater Wave Celerity = (Celerity for Shallow Depth*Deep-Water Wavelength)/Wavelength for Shallow Depth

Celerity of Deepwater Wave

Go Deepwater Wave Celerity = sqrt(([g]*Deep-Water Wavelength)/(2*pi))

Wave Celerity when Relative Water Depth becomes Shallow

Go Celerity for Shallow Depth = sqrt([g]*Shallow Depth)

Deepwater Celerity given Wave Period

Go Deepwater Wave Celerity = ([g]*Wave Period)/(2*pi)

Wave Celerity given Wavelength and Wave Period

Go Deepwater Wave Celerity = Deep-Water Wavelength/Wave Period

Wave Period given Deepwater Celerity

Go Wave Period = Deep-Water Wavelength/Deepwater Wave Celerity

Deepwater Wave Celerity

Go Deepwater Wave Celerity = Deep-Water Wavelength/Wave Period

Deepwater Celerity when SI systems Units of meters and seconds is considered

Go Deepwater Wave Celerity = 1.56*Wave Period

Deepwater Celerity given Units of Feet and Seconds

Go Celerity in FPS Unit = 5.12*Wave Period

Celerity of Deepwater Wave Formula

Deepwater Wave Celerity = sqrt(([g]*Deep-Water Wavelength)/(2*pi))
C_o = sqrt(([g]*λ_o)/(2*pi))

What are Water Waves ?

Water waves are oscillations on the surface of bodies of water caused by the transfer of energy from wind or other sources.

How to Calculate Celerity of Deepwater Wave?

Celerity of Deepwater Wave calculator uses Deepwater Wave Celerity = sqrt(([g]*Deep-Water Wavelength)/(2*pi)) to calculate the Deepwater Wave Celerity, The Celerity of deepwater waves refers to the speed at which waves propagate through water depths greater than half their wavelength. Deepwater Wave Celerity is denoted by C_o symbol.

How to calculate Celerity of Deepwater Wave using this online calculator? To use this online calculator for Celerity of Deepwater Wave, enter Deep-Water Wavelength (λ_o) and hit the calculate button. Here is how the Celerity of Deepwater Wave calculation can be explained with given input values -> 4.504453 = sqrt(([g]*13)/(2*pi)).

FAQ

What is Celerity of Deepwater Wave?

The Celerity of deepwater waves refers to the speed at which waves propagate through water depths greater than half their wavelength and is represented as C_o = sqrt(([g]*λ_o)/(2*pi)) or Deepwater Wave Celerity = sqrt(([g]*Deep-Water Wavelength)/(2*pi)). Deep-Water Wavelength, deep water waves are defined as those occurring in ocean depths greater than twice the wavelength of the wave.

How to calculate Celerity of Deepwater Wave?

The Celerity of deepwater waves refers to the speed at which waves propagate through water depths greater than half their wavelength is calculated using Deepwater Wave Celerity = sqrt(([g]*Deep-Water Wavelength)/(2*pi)). To calculate Celerity of Deepwater Wave, you need Deep-Water Wavelength (λ_o). With our tool, you need to enter the respective value for Deep-Water Wavelength 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 Deepwater Wave Celerity?

In this formula, Deepwater Wave Celerity uses Deep-Water Wavelength. We can use 7 other way(s) to calculate the same, which is/are as follows -

Deepwater Wave Celerity = Deep-Water Wavelength/Wave Period
Deepwater Wave Celerity = sqrt(((Deep-Water Wavelength*[g])/(2*pi))*tanh((2*pi*Water Depth)/Deep-Water Wavelength))
Deepwater Wave Celerity = (([g]*Wave Period)/(2*pi))*tanh((2*pi*Water Depth)/Deep-Water Wavelength)
Deepwater Wave Celerity = Deep-Water Wavelength/Wave Period
Deepwater Wave Celerity = ([g]*Wave Period)/(2*pi)
Deepwater Wave Celerity = 1.56*Wave Period
Deepwater Wave Celerity = (Celerity for Shallow Depth*Deep-Water Wavelength)/Wavelength for Shallow Depth

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