Celerity of Deepwater Wave Calculator

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

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

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Celerity of Deepwater Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deepwater Wave Celerity = sqrt(([g]*DeepWater Wavelength)/(2*pi))
C_o = sqrt(([g]*λ_o)/(2*pi))
This formula uses 2 Constants, 1 Functions, 2 Variables

Constants Used

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

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
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.

STEP 1: Convert Input(s) to Base Unit

DeepWater Wavelength: 13 Meter --> 13 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_o = sqrt(([g]*λ_o)/(2*pi)) --> sqrt(([g]*13)/(2*pi))

Evaluating ... ...

C_o = 4.50445320707606

STEP 3: Convert Result to Output's Unit

4.50445320707606 Meter per Second --> No Conversion Required

FINAL ANSWER

4.50445320707606 ≈ 4.504453 Meter per Second <-- Deepwater Wave Celerity

(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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< Wave Celerity Calculators

Wave Celerity given Wavelength and Water Depth

LaTeX Go Deepwater Wave Celerity = sqrt(((DeepWater Wavelength*[g])/(2*pi))*tanh((2*pi*Water Depth)/DeepWater Wavelength))

Wave Celerity given Wave Period and Wavelength

LaTeX Go Deepwater Wave Celerity = (([g]*Wave Period)/(2*pi))*tanh((2*pi*Water Depth)/DeepWater Wavelength)

Wave Celerity given Wavelength and Wave Period

LaTeX Go Deepwater Wave Celerity = DeepWater Wavelength/Wave Period

Deepwater Wave Celerity

LaTeX Go Deepwater Wave Celerity = DeepWater Wavelength/Wave Period

Celerity of Deepwater Wave Formula

LaTeX Go

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

What are Water Waves ?

Water waves are oscillations on the surface of bodies of water caused by the transfer of energy from wind or other sources.

How to Calculate Celerity of Deepwater Wave?

Celerity of Deepwater Wave calculator uses Deepwater Wave Celerity = sqrt(([g]*DeepWater Wavelength)/(2*pi)) to calculate the Deepwater Wave Celerity, The Celerity of Deepwater Wave refers to the speed at which waves propagate through water depths greater than half their wavelength. Deepwater Wave Celerity is denoted by C_o symbol.

How to calculate Celerity of Deepwater Wave using this online calculator? To use this online calculator for Celerity of Deepwater Wave, enter DeepWater Wavelength (λ_o) and hit the calculate button. Here is how the Celerity of Deepwater Wave calculation can be explained with given input values -> 4.504453 = sqrt(([g]*13)/(2*pi)).

FAQ

What is Celerity of Deepwater Wave?

The Celerity of Deepwater Wave refers to the speed at which waves propagate through water depths greater than half their wavelength and is represented as C_o = sqrt(([g]*λ_o)/(2*pi)) or Deepwater Wave Celerity = sqrt(([g]*DeepWater Wavelength)/(2*pi)). Deepwater Wavelength is the distance between two identical points on successive waves e.g., crest to crest or trough to trough.

How to calculate Celerity of Deepwater Wave?

The Celerity of Deepwater Wave refers to the speed at which waves propagate through water depths greater than half their wavelength is calculated using Deepwater Wave Celerity = sqrt(([g]*DeepWater Wavelength)/(2*pi)). To calculate Celerity of Deepwater Wave, you need DeepWater Wavelength (λ_o). With our tool, you need to enter the respective value for DeepWater 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 Deepwater Wave Celerity?

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

Deepwater Wave Celerity = DeepWater Wavelength/Wave Period
Deepwater Wave Celerity = sqrt(((DeepWater Wavelength*[g])/(2*pi))*tanh((2*pi*Water Depth)/DeepWater Wavelength))
Deepwater Wave Celerity = (([g]*Wave Period)/(2*pi))*tanh((2*pi*Water Depth)/DeepWater Wavelength)

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