Deepwater wavelength given Deepwater celerity Calculator

✖Wavelength can be defined as the distance between two successive crests or troughs of a wave.ⓘ Wavelength [λ]			+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 Wave Celerity [C_o]			+10% -10%
✖Wave Celerity is the speed at which an individual wave advances or propagates.ⓘ Wave Celerity [C]			+10% -10%

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

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Formula

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Deepwater wavelength given Deepwater celerity

Formula

`"λ"_{"o"} = ("λ"*"C"_{"o"})/"C"`

Example

`"12.99857m"=("10.11m"*"4.5m/s")/"3.5m/s"`

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Deepwater wavelength given Deepwater celerity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deep-Water Wavelength = (Wavelength*Deepwater Wave Celerity)/Wave Celerity
λ_o = (λ*C_o)/C
This formula uses 4 Variables

Variables Used

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 - (Measured in Meter) - Wavelength can be defined as the distance between two successive crests or troughs of a wave.
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.
Wave Celerity - (Measured in Meter per Second) - Wave Celerity is the speed at which an individual wave advances or propagates.

STEP 1: Convert Input(s) to Base Unit

Wavelength: 10.11 Meter --> 10.11 Meter No Conversion Required
Deepwater Wave Celerity: 4.5 Meter per Second --> 4.5 Meter per Second No Conversion Required
Wave Celerity: 3.5 Meter per Second --> 3.5 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ_o = (λ*C_o)/C --> (10.11*4.5)/3.5

Evaluating ... ...

λ_o = 12.9985714285714

STEP 3: Convert Result to Output's Unit

12.9985714285714 Meter --> No Conversion Required

FINAL ANSWER

12.9985714285714 ≈ 12.99857 Meter <-- Deep-Water 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)))

Eckert's equation for Wavelength

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

Wavelength as Function of Water Depth and Wave Period

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

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 = Deep-Water 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 = (Deep-Water Wavelength*Wave Celerity)/Deepwater Wave Celerity

Deepwater wavelength given Deepwater celerity

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

Deepwater Wavelength given Celerity of Deepwater Wave

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

Deepwater Wavelength given Wave Celerity

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

Wavelength given wave celerity

Go Wavelength = Wave Celerity*Wave Period

Deepwater Wavelength given Units of Feet

Go Deep-Water Wavelength in Feet = 5.12*Wave Period^2

Deepwater Wavelength when SI systems Units of meters is considered

Go Deep-Water Wavelength = 1.56*Wave Period^2

Deepwater wavelength given Deepwater celerity Formula

Deep-Water Wavelength = (Wavelength*Deepwater Wave Celerity)/Wave Celerity
λ_o = (λ*C_o)/C

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 travels at higher speed.

How to Calculate Deepwater wavelength given Deepwater celerity?

Deepwater wavelength given Deepwater celerity calculator uses Deep-Water Wavelength = (Wavelength*Deepwater Wave Celerity)/Wave Celerity to calculate the Deep-Water Wavelength, The Deepwater wavelength given Deepwater celerity determines the size of the orbits of water molecules within a wave, but water depth determines the shape of the orbits. Deep-Water Wavelength is denoted by λ_o symbol.

How to calculate Deepwater wavelength given Deepwater celerity using this online calculator? To use this online calculator for Deepwater wavelength given Deepwater celerity, enter Wavelength (λ), Deepwater Wave Celerity (C_o) & Wave Celerity (C) and hit the calculate button. Here is how the Deepwater wavelength given Deepwater celerity calculation can be explained with given input values -> 12.99857 = (10.11*4.5)/3.5.

FAQ

What is Deepwater wavelength given Deepwater celerity?

The Deepwater wavelength given Deepwater celerity determines the size of the orbits of water molecules within a wave, but water depth determines the shape of the orbits and is represented as λ_o = (λ*C_o)/C or Deep-Water Wavelength = (Wavelength*Deepwater Wave Celerity)/Wave Celerity. Wavelength can be defined as the distance between two successive crests or troughs of a wave, Deepwater Wave Celerity is the speed at which an individual wave advances or propagates occurring or existing in water of great depth & Wave Celerity is the speed at which an individual wave advances or propagates.

How to calculate Deepwater wavelength given Deepwater celerity?

The Deepwater wavelength given Deepwater celerity determines the size of the orbits of water molecules within a wave, but water depth determines the shape of the orbits is calculated using Deep-Water Wavelength = (Wavelength*Deepwater Wave Celerity)/Wave Celerity. To calculate Deepwater wavelength given Deepwater celerity, you need Wavelength (λ), Deepwater Wave Celerity (C_o) & Wave Celerity (C). With our tool, you need to enter the respective value for Wavelength, Deepwater Wave Celerity & 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 Deep-Water Wavelength?

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

Deep-Water Wavelength = Deepwater Wave Celerity*Wave Period
Deep-Water Wavelength = (Deepwater Wave Celerity^2*2*pi)/[g]
Deep-Water Wavelength = 1.56*Wave Period^2

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