Wavelength given Wave Celerity and Wave Speed Calculator

✖Water Depth of the considered catchment is measured from the water level to the bottom of the considered water body.ⓘ Water Depth [d]			+10% -10%
✖Wave Celerity is the speed at which an individual wave advances or propagates.ⓘ Wave Celerity [C]			+10% -10%
✖Wave Period is the time between successive peaks or troughs.ⓘ Wave Period [T]			+10% -10%

✖Wavelength can be defined as the distance between two successive crests or troughs of a wave.ⓘ Wavelength given Wave Celerity and Wave Speed [λ]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Wavelength Formulas PDF PDF Image

Wavelength given Wave Celerity and Wave Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wavelength = (2*pi*Water Depth)/(atanh((2*Wave Celerity*pi)/([g]*Wave Period)))
λ = (2*pi*d)/(atanh((2*C*pi)/([g]*T)))
This formula uses 2 Constants, 2 Functions, 4 Variables

Constants Used

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

Functions Used

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)
atanh - The inverse hyperbolic tangent function returns the value whose hyperbolic tangent is a number., atanh(Number)

Variables Used

Wavelength - (Measured in Meter) - Wavelength can be defined as the distance between two successive crests or troughs of a wave.
Water Depth - (Measured in Meter) - Water Depth of the considered catchment is measured from the water level to the bottom of the considered water body.
Wave Celerity - (Measured in Meter per Second) - Wave Celerity is the speed at which an individual wave advances or propagates.
Wave Period - (Measured in Second) - Wave Period is the time between successive peaks or troughs.

STEP 1: Convert Input(s) to Base Unit

Water Depth: 1.55 Meter --> 1.55 Meter No Conversion Required
Wave Celerity: 3.5 Meter per Second --> 3.5 Meter per Second No Conversion Required
Wave Period: 3 Second --> 3 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ = (2*pi*d)/(atanh((2*C*pi)/([g]*T))) --> (2*pi*1.55)/(atanh((2*3.5*pi)/([g]*3)))

Evaluating ... ...

λ = 10.0687411343781

STEP 3: Convert Result to Output's Unit

10.0687411343781 Meter --> No Conversion Required

FINAL ANSWER

10.0687411343781 ≈ 10.06874 Meter <-- Wavelength

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Coastal and Ocean Engineering » Water Wave Mechanics » Wavelength » Wavelength given Wave Celerity and Wave Speed

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

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< Wavelength Calculators

Wavelength given Wave Celerity and Wave Speed

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

Wavelength as Function of Depth and Wave Period

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

Deepwater Wavelength given Wave Celerity

LaTeX Go DeepWater Wavelength = Deepwater Wave Celerity*Wave Period

Wavelength given Wave Celerity

LaTeX Go Wavelength = Wave Celerity*Wave Period

Wavelength given Wave Celerity and Wave Speed Formula

LaTeX Go

Wavelength = (2*pi*Water Depth)/(atanh((2*Wave Celerity*pi)/([g]*Wave Period)))
λ = (2*pi*d)/(atanh((2*C*pi)/([g]*T)))

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 Wavelength given Wave Celerity and Wave Speed?

Wavelength given Wave Celerity and Wave Speed calculator uses Wavelength = (2*pi*Water Depth)/(atanh((2*Wave Celerity*pi)/([g]*Wave Period))) to calculate the Wavelength, The Wavelength given Wave Celerity and Wave Speed formula is defined as the distance between two identical points on successive waves. Wavelength is denoted by λ symbol.

How to calculate Wavelength given Wave Celerity and Wave Speed using this online calculator? To use this online calculator for Wavelength given Wave Celerity and Wave Speed, enter Water Depth (d), Wave Celerity (C) & Wave Period (T) and hit the calculate button. Here is how the Wavelength given Wave Celerity and Wave Speed calculation can be explained with given input values -> 6.82076 = (2*pi*1.55)/(atanh((2*3.5*pi)/([g]*3))).

FAQ

What is Wavelength given Wave Celerity and Wave Speed?

The Wavelength given Wave Celerity and Wave Speed formula is defined as the distance between two identical points on successive waves and is represented as λ = (2*pi*d)/(atanh((2*C*pi)/([g]*T))) or Wavelength = (2*pi*Water Depth)/(atanh((2*Wave Celerity*pi)/([g]*Wave Period))). Water Depth of the considered catchment is measured from the water level to the bottom of the considered water body, Wave Celerity is the speed at which an individual wave advances or propagates & Wave Period is the time between successive peaks or troughs.

How to calculate Wavelength given Wave Celerity and Wave Speed?

The Wavelength given Wave Celerity and Wave Speed formula is defined as the distance between two identical points on successive waves is calculated using Wavelength = (2*pi*Water Depth)/(atanh((2*Wave Celerity*pi)/([g]*Wave Period))). To calculate Wavelength given Wave Celerity and Wave Speed, you need Water Depth (d), Wave Celerity (C) & Wave Period (T). With our tool, you need to enter the respective value for Water Depth, Wave Celerity & Wave Period 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 Wavelength?

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

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

Home

FREE PDFs

🔍 Search