Celerity of Wave given Deepwater Celerity and Wavelength Calculator

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

✖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 of Wave given Deepwater Celerity and Wavelength [C_s]

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Celerity of Wave given Deepwater Celerity and Wavelength

Formula

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

Example

`"2.769231m/s"=("4.5m/s"*"8m")/"13m"`

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Celerity of Wave given Deepwater Celerity and Wavelength Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
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

Deepwater Wave Celerity: 4.5 Meter per Second --> 4.5 Meter per Second No Conversion Required
Wavelength for Shallow Depth: 8 Meter --> 8 Meter No Conversion Required
Deep-Water Wavelength: 13 Meter --> 13 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_s = (C_o*λ_s)/λ_o --> (4.5*8)/13

Evaluating ... ...

C_s = 2.76923076923077

STEP 3: Convert Result to Output's Unit

2.76923076923077 Meter per Second --> No Conversion Required

FINAL ANSWER

2.76923076923077 ≈ 2.769231 Meter per Second <-- Celerity for Shallow Depth

(Calculation completed in 00.020 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

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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

Celerity of Wave given Deepwater Celerity and Wavelength Formula

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

What is Wavelength?

Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space.

How to Calculate Celerity of Wave given Deepwater Celerity and Wavelength?

Celerity of Wave given Deepwater Celerity and Wavelength calculator uses Celerity for Shallow Depth = (Deepwater Wave Celerity*Wavelength for Shallow Depth)/Deep-Water Wavelength to calculate the Celerity for Shallow Depth, The Celerity of Wave given Deepwater Celerity and Wavelength is defined as the speed at which an individual wave advances or “propagates” . Celerity for Shallow Depth is denoted by C_s symbol.

How to calculate Celerity of Wave given Deepwater Celerity and Wavelength using this online calculator? To use this online calculator for Celerity of Wave given Deepwater Celerity and Wavelength, enter Deepwater Wave Celerity (C_o), Wavelength for Shallow Depth (λ_s) & Deep-Water Wavelength (λ_o) and hit the calculate button. Here is how the Celerity of Wave given Deepwater Celerity and Wavelength calculation can be explained with given input values -> 2.769231 = (4.5*8)/13.

FAQ

What is Celerity of Wave given Deepwater Celerity and Wavelength?

The Celerity of Wave given Deepwater Celerity and Wavelength is defined as the speed at which an individual wave advances or “propagates” and is represented as C_s = (C_o*λ_s)/λ_o or Celerity for Shallow Depth = (Deepwater Wave Celerity*Wavelength for Shallow Depth)/Deep-Water Wavelength. Deepwater Wave Celerity is the speed at which an individual wave advances or propagates occurring or existing in water of great depth, Wavelength for Shallow Depth is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space & 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 Wave given Deepwater Celerity and Wavelength?

The Celerity of Wave given Deepwater Celerity and Wavelength is defined as the speed at which an individual wave advances or “propagates” is calculated using Celerity for Shallow Depth = (Deepwater Wave Celerity*Wavelength for Shallow Depth)/Deep-Water Wavelength. To calculate Celerity of Wave given Deepwater Celerity and Wavelength, you need Deepwater Wave Celerity (C_o), Wavelength for Shallow Depth (λ_s) & Deep-Water Wavelength (λ_o). With our tool, you need to enter the respective value for Deepwater Wave Celerity, Wavelength for Shallow Depth & 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 Celerity for Shallow Depth?

In this formula, Celerity for Shallow Depth uses Deepwater Wave Celerity, Wavelength for Shallow Depth & Deep-Water Wavelength. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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