Deepwater Celerity for Deepwater wavelength Calculator

✖Celerity for shallow depth refers to the speed at which waves propagate through water depths where the effects of the seabed are significant, often resulting in reduced wave speed.ⓘ Celerity for Shallow Depth [C_s]			+10% -10%
✖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]			+10% -10%
✖Wavelength for Shallow Depth is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space.ⓘ Wavelength for Shallow Depth [λ_s]			+10% -10%

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

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Deepwater Celerity for Deepwater wavelength

Formula

`"C"_{"o"} = ("C"_{"s"}*"λ"_{"o"})/"λ"_{"s"}`

Example

`"4.55m/s"=("2.8m/s"*"13m")/"8m"`

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Deepwater Celerity for Deepwater wavelength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deepwater Wave Celerity = (Celerity for Shallow Depth*Deep-Water Wavelength)/Wavelength for Shallow Depth
C_o = (C_s*λ_o)/λ_s
This formula uses 4 Variables

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.
Celerity for Shallow Depth - (Measured in Meter per Second) - Celerity for shallow depth refers to the speed at which waves propagate through water depths where the effects of the seabed are significant, often resulting in reduced wave speed.
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.
Wavelength for Shallow Depth - (Measured in Meter) - Wavelength for Shallow Depth is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space.

STEP 1: Convert Input(s) to Base Unit

Celerity for Shallow Depth: 2.8 Meter per Second --> 2.8 Meter per Second No Conversion Required
Deep-Water Wavelength: 13 Meter --> 13 Meter No Conversion Required
Wavelength for Shallow Depth: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_o = (C_s*λ_o)/λ_s --> (2.8*13)/8

Evaluating ... ...

C_o = 4.55

STEP 3: Convert Result to Output's Unit

4.55 Meter per Second --> No Conversion Required

FINAL ANSWER

4.55 Meter per Second <-- Deepwater Wave Celerity

(Calculation completed in 00.004 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

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< 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

Deepwater Celerity for Deepwater wavelength Formula

Deepwater Wave Celerity = (Celerity for Shallow Depth*Deep-Water Wavelength)/Wavelength for Shallow Depth
C_o = (C_s*λ_o)/λ_s

How does depth affect wavelength?

The change from deep to shallow water waves occurs when the depth of the water, d, becomes less than one half of the wavelength of the wave, λ. ... The speed of deep-water waves depends on the wavelength of the waves. We say that deep-water waves show dispersion. A wave with a longer wavelength travels at higher speed.

How to Calculate Deepwater Celerity for Deepwater wavelength?

Deepwater Celerity for Deepwater wavelength calculator uses Deepwater Wave Celerity = (Celerity for Shallow Depth*Deep-Water Wavelength)/Wavelength for Shallow Depth to calculate the Deepwater Wave Celerity, The Deepwater Celerity for Deepwater wavelength is the speed at which an individual wave advances or “propagates”. For a Deepwater wave the celerity is directly proportional to the wave period. Deepwater Wave Celerity is denoted by C_o symbol.

How to calculate Deepwater Celerity for Deepwater wavelength using this online calculator? To use this online calculator for Deepwater Celerity for Deepwater wavelength, enter Celerity for Shallow Depth (C_s), Deep-Water Wavelength (λ_o) & Wavelength for Shallow Depth (λ_s) and hit the calculate button. Here is how the Deepwater Celerity for Deepwater wavelength calculation can be explained with given input values -> 4.55 = (2.8*13)/8.

FAQ

What is Deepwater Celerity for Deepwater wavelength?

The Deepwater Celerity for Deepwater wavelength is the speed at which an individual wave advances or “propagates”. For a Deepwater wave the celerity is directly proportional to the wave period and is represented as C_o = (C_s*λ_o)/λ_s or Deepwater Wave Celerity = (Celerity for Shallow Depth*Deep-Water Wavelength)/Wavelength for Shallow Depth. Celerity for shallow depth refers to the speed at which waves propagate through water depths where the effects of the seabed are significant, often resulting in reduced wave speed, Deep-Water Wavelength, deep water waves are defined as those occurring in ocean depths greater than twice the wavelength of the wave & Wavelength for Shallow Depth is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space.

How to calculate Deepwater Celerity for Deepwater wavelength?

The Deepwater Celerity for Deepwater wavelength is the speed at which an individual wave advances or “propagates”. For a Deepwater wave the celerity is directly proportional to the wave period is calculated using Deepwater Wave Celerity = (Celerity for Shallow Depth*Deep-Water Wavelength)/Wavelength for Shallow Depth. To calculate Deepwater Celerity for Deepwater wavelength, you need Celerity for Shallow Depth (C_s), Deep-Water Wavelength (λ_o) & Wavelength for Shallow Depth (λ_s). With our tool, you need to enter the respective value for Celerity for Shallow Depth, Deep-Water Wavelength & Wavelength for Shallow Depth 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 Celerity for Shallow Depth, Deep-Water Wavelength & Wavelength for Shallow Depth. 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 = sqrt(([g]*Deep-Water Wavelength)/(2*pi))
Deepwater Wave Celerity = ([g]*Wave Period)/(2*pi)
Deepwater Wave Celerity = 1.56*Wave Period

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