Wave Celerity given Wavelength and Water Depth 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]			+10% -10%
✖Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.ⓘ Water Depth [d]			+10% -10%

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

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Wave Celerity given Wavelength and Water Depth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deepwater Wave Celerity = sqrt(((DeepWater Wavelength*[g])/(2*pi))*tanh((2*pi*Water Depth)/DeepWater Wavelength))
C_o = sqrt(((λ_o*[g])/(2*pi))*tanh((2*pi*d)/λ_o))
This formula uses 2 Constants, 2 Functions, 3 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)
tanh - The hyperbolic tangent function (tanh) is a function that is defined as the ratio of the hyperbolic sine function (sinh) to the hyperbolic cosine function (cosh)., tanh(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.
Water Depth - (Measured in Meter) - Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.

STEP 1: Convert Input(s) to Base Unit

DeepWater Wavelength: 13 Meter --> 13 Meter No Conversion Required
Water Depth: 4.8 Meter --> 4.8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_o = sqrt(((λ_o*[g])/(2*pi))*tanh((2*pi*d)/λ_o)) --> sqrt(((13*[g])/(2*pi))*tanh((2*pi*4.8)/13))

Evaluating ... ...

C_o = 4.46115390318095

STEP 3: Convert Result to Output's Unit

4.46115390318095 Meter per Second --> No Conversion Required

FINAL ANSWER

4.46115390318095 ≈ 4.461154 Meter per Second <-- Deepwater Wave Celerity

(Calculation completed in 00.008 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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< 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

Wave Celerity given Wavelength and Water Depth Formula

LaTeX Go

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

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 Wave Celerity given Wavelength and Water Depth?

Wave Celerity given Wavelength and Water Depth calculator uses Deepwater Wave Celerity = sqrt(((DeepWater Wavelength*[g])/(2*pi))*tanh((2*pi*Water Depth)/DeepWater Wavelength)) to calculate the Deepwater Wave Celerity, The Wave Celerity given Wavelength and Water Depth formula is defined as the speed at which the wave travels through water depths greater than half its wavelength and can be calculated based on the wavelength and water depth of the wave. Deepwater Wave Celerity is denoted by C_o symbol.

How to calculate Wave Celerity given Wavelength and Water Depth using this online calculator? To use this online calculator for Wave Celerity given Wavelength and Water Depth, enter DeepWater Wavelength (λ_o) & Water Depth (d) and hit the calculate button. Here is how the Wave Celerity given Wavelength and Water Depth calculation can be explained with given input values -> 3.081473 = sqrt(((13*[g])/(2*pi))*tanh((2*pi*4.8)/13)).

FAQ

What is Wave Celerity given Wavelength and Water Depth?

The Wave Celerity given Wavelength and Water Depth formula is defined as the speed at which the wave travels through water depths greater than half its wavelength and can be calculated based on the wavelength and water depth of the wave and is represented as C_o = sqrt(((λ_o*[g])/(2*pi))*tanh((2*pi*d)/λ_o)) or Deepwater Wave Celerity = sqrt(((DeepWater Wavelength*[g])/(2*pi))*tanh((2*pi*Water Depth)/DeepWater Wavelength)). Deepwater Wavelength is the distance between two identical points on successive waves e.g., crest to crest or trough to trough & Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.

How to calculate Wave Celerity given Wavelength and Water Depth?

The Wave Celerity given Wavelength and Water Depth formula is defined as the speed at which the wave travels through water depths greater than half its wavelength and can be calculated based on the wavelength and water depth of the wave is calculated using Deepwater Wave Celerity = sqrt(((DeepWater Wavelength*[g])/(2*pi))*tanh((2*pi*Water Depth)/DeepWater Wavelength)). To calculate Wave Celerity given Wavelength and Water Depth, you need DeepWater Wavelength (λ_o) & Water Depth (d). With our tool, you need to enter the respective value for DeepWater Wavelength & Water Depth 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 & Water Depth. 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 = (([g]*Wave Period)/(2*pi))*tanh((2*pi*Water Depth)/DeepWater Wavelength)
Deepwater Wave Celerity = DeepWater Wavelength/Wave Period

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