Deepwater Wavelength given Celerity of Deepwater Wave 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]

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✖Deepwater Wavelength is the distance between two identical points on successive waves e.g., crest to crest or trough to trough.ⓘ Deepwater Wavelength given Celerity of Deepwater Wave [λ_o]

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Deepwater Wavelength given Celerity of Deepwater Wave

Formula

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

Example

`"12.97431m"=(("4.5m/s")^2*2*pi)/"[g]"`

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Deepwater Wavelength given Celerity of Deepwater Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

DeepWater Wavelength = (Deepwater Wave Celerity^2*2*pi)/[g]
λ_o = (C_o^2*2*pi)/[g]
This formula uses 2 Constants, 2 Variables

Constants Used

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

Variables Used

DeepWater Wavelength - (Measured in Meter) - Deepwater Wavelength is the distance between two identical points on successive waves e.g., crest to crest or trough to trough.
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.

STEP 1: Convert Input(s) to Base Unit

Deepwater Wave Celerity: 4.5 Meter per Second --> 4.5 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ_o = (C_o^2*2*pi)/[g] --> (4.5^2*2*pi)/[g]

Evaluating ... ...

λ_o = 12.9743085019233

STEP 3: Convert Result to Output's Unit

12.9743085019233 Meter --> No Conversion Required

FINAL ANSWER

12.9743085019233 ≈ 12.97431 Meter <-- DeepWater Wavelength

(Calculation completed in 00.004 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!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< 14 Wavelength Calculators

Water depth given wave celerity and wavelength

Go Water Depth = (Wavelength*atanh((2*pi*Wave Celerity)/([g]*Wave Period)))/(2*pi)

Wavelength given Wave Celerity and Wave Speed

Go Wavelength = (2*pi*Water Depth)/(atanh((2*Wave Celerity*pi)/([g]*Wave Period)))

Wavelength as Function of Water Depth and Wave Period

Go Wavelength = (([g]*Wave Period)/Wave Angular Frequency)*tanh(Wave Number*Water Depth)

Eckert's Equation for Wavelength

Go Wavelength = DeepWater Wavelength*sqrt(tanh((2*pi*Water Depth)/DeepWater Wavelength))

Wavelength as Function of Depth and Wave Period

Go Wavelength = (([g]*Wave Period^2)/(2*pi))*tanh(Wave Number*Water Depth)

Wavelength given Deepwater Wavelength

Go Wavelength = DeepWater Wavelength*tanh(Wave Number*Water Depth)

Long Wave Simplification for Wavelength

Go Wavelength = Wave Period*sqrt([g]*Water Depth)

Wavelength given Deepwater Celerity and Deepwater Wavelength

Go Wavelength = (DeepWater Wavelength*Wave Celerity)/Deepwater Wave Celerity

Deepwater Wavelength given Deepwater Celerity

Go DeepWater Wavelength = (Wavelength*Deepwater Wave Celerity)/Wave Celerity

Deepwater Wavelength given Celerity of Deepwater Wave

Go DeepWater Wavelength = (Deepwater Wave Celerity^2*2*pi)/[g]

Deepwater Wavelength given Wave Celerity

Go DeepWater Wavelength = Deepwater Wave Celerity*Wave Period

Wavelength given Wave Celerity

Go Wavelength = Wave Celerity*Wave Period

Deepwater Wavelength given Units of Feet

Go DeepWater Wavelength in Feet = 5.12*Wave Period^2

Deepwater Wavelength when SI systems Units of meters is Considered

Go DeepWater Wavelength = 1.56*Wave Period^2

Deepwater Wavelength given Celerity of Deepwater Wave Formula

DeepWater Wavelength = (Deepwater Wave Celerity^2*2*pi)/[g]
λ_o = (C_o^2*2*pi)/[g]

What are Water Waves & Wave Energy?

A wave, a ridge or swell on the surface of a body of water, normally having a forward motion distinct from the oscillatory motion of the particles that successively compose it. Water waves are considered oscillatory or nearly oscillatory if the motion described by the water particles is circular orbits that are closed or nearly closed for each wave period.
Wave energy (or wave power) is the transport and capture of energy by ocean surface waves. The energy captured is then used for all different kinds of useful work, including electricity generation, water desalination, and pumping of water.

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. 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 travel at a higher speed.

How to Calculate Deepwater Wavelength given Celerity of Deepwater Wave?

Deepwater Wavelength given Celerity of Deepwater Wave calculator uses DeepWater Wavelength = (Deepwater Wave Celerity^2*2*pi)/[g] to calculate the DeepWater Wavelength, The Deepwater Wavelength given Celerity of Deepwater Wave formula is defined as the distance between identical points (adjacent crests) in adjacent cycles of waveform signal propagated in space given the speed at which an individual wave advances or propagates. DeepWater Wavelength is denoted by λ_o symbol.

How to calculate Deepwater Wavelength given Celerity of Deepwater Wave using this online calculator? To use this online calculator for Deepwater Wavelength given Celerity of Deepwater Wave, enter Deepwater Wave Celerity (C_o) and hit the calculate button. Here is how the Deepwater Wavelength given Celerity of Deepwater Wave calculation can be explained with given input values -> 12.97431 = (4.5^2*2*pi)/[g].

FAQ

What is Deepwater Wavelength given Celerity of Deepwater Wave?

The Deepwater Wavelength given Celerity of Deepwater Wave formula is defined as the distance between identical points (adjacent crests) in adjacent cycles of waveform signal propagated in space given the speed at which an individual wave advances or propagates and is represented as λ_o = (C_o^2*2*pi)/[g] or DeepWater Wavelength = (Deepwater Wave Celerity^2*2*pi)/[g]. Deepwater Wave Celerity is the speed at which an individual wave advances or propagates occurring or existing in water of great depth.

How to calculate Deepwater Wavelength given Celerity of Deepwater Wave?

The Deepwater Wavelength given Celerity of Deepwater Wave formula is defined as the distance between identical points (adjacent crests) in adjacent cycles of waveform signal propagated in space given the speed at which an individual wave advances or propagates is calculated using DeepWater Wavelength = (Deepwater Wave Celerity^2*2*pi)/[g]. To calculate Deepwater Wavelength given Celerity of Deepwater Wave, you need Deepwater Wave Celerity (C_o). With our tool, you need to enter the respective value for Deepwater Wave Celerity 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 Wavelength?

In this formula, DeepWater Wavelength uses Deepwater Wave Celerity. We can use 3 other way(s) to calculate the same, which is/are as follows -

DeepWater Wavelength = Deepwater Wave Celerity*Wave Period
DeepWater Wavelength = 1.56*Wave Period^2
DeepWater Wavelength = (Wavelength*Deepwater Wave Celerity)/Wave Celerity

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