Deepwater Wavelength given Celerity of Deepwater Wave Solution

STEP 0: Pre-Calculation Summary
Formula Used
Deep-Water Wavelength = (Deepwater Wave Celerity^2*2*pi)/[g]
λo = (Co^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
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.
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
λo = (Co^2*2*pi)/[g] --> (4.5^2*2*pi)/[g]
Evaluating ... ...
λo = 12.9743085019233
STEP 3: Convert Result to Output's Unit
12.9743085019233 Meter --> No Conversion Required
FINAL ANSWER
12.9743085019233 12.97431 Meter <-- Deep-Water Wavelength
(Calculation completed in 00.020 seconds)

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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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 Celerity of Deepwater Wave Formula

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

What are Water waves ?

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.

How to Calculate Deepwater Wavelength given Celerity of Deepwater Wave?

Deepwater Wavelength given Celerity of Deepwater Wave calculator uses Deep-Water Wavelength = (Deepwater Wave Celerity^2*2*pi)/[g] to calculate the Deep-Water Wavelength, Deepwater Wavelength given Celerity of Deepwater Wave is distance between identical points (adjacent crests) in adjacent cycles of waveform signal propagated in space. Deep-Water Wavelength is denoted by λo 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 (Co) 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?
Deepwater Wavelength given Celerity of Deepwater Wave is distance between identical points (adjacent crests) in adjacent cycles of waveform signal propagated in space and is represented as λo = (Co^2*2*pi)/[g] or Deep-Water 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?
Deepwater Wavelength given Celerity of Deepwater Wave is distance between identical points (adjacent crests) in adjacent cycles of waveform signal propagated in space is calculated using Deep-Water Wavelength = (Deepwater Wave Celerity^2*2*pi)/[g]. To calculate Deepwater Wavelength given Celerity of Deepwater Wave, you need Deepwater Wave Celerity (Co). 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 Deep-Water Wavelength?
In this formula, Deep-Water Wavelength uses Deepwater 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 = 1.56*Wave Period^2
  • Deep-Water Wavelength = (Wavelength*Deepwater Wave Celerity)/Wave Celerity
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