Long Wave Simplification for Wavelength Calculator

✖Wave Period is the time between successive peaks or troughs.ⓘ Wave Period [T]			+10% -10%
✖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%

✖Wavelength can be defined as the distance between two successive crests or troughs of a wave.ⓘ Long Wave Simplification for Wavelength [λ]

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Long Wave Simplification for Wavelength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wavelength = Wave Period*sqrt([g]*Water Depth)
λ = T*sqrt([g]*d)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

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

Wavelength - (Measured in Meter) - Wavelength can be defined as the distance between two successive crests or troughs of a wave.
Wave Period - (Measured in Second) - Wave Period is the time between successive peaks or troughs.
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.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ = T*sqrt([g]*d) --> 3*sqrt([g]*1.55)

Evaluating ... ...

λ = 11.6962715213011

STEP 3: Convert Result to Output's Unit

11.6962715213011 Meter --> No Conversion Required

FINAL ANSWER

11.6962715213011 ≈ 11.69627 Meter <-- Wavelength

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< 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

Long Wave Simplification for Wavelength Formula

LaTeX Go

Wavelength = Wave Period*sqrt([g]*Water Depth)
λ = T*sqrt([g]*d)

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 Long Wave Simplification for Wavelength?

Long Wave Simplification for Wavelength calculator uses Wavelength = Wave Period*sqrt([g]*Water Depth) to calculate the Wavelength, The Long Wave Simplification for Wavelength formula is defined as providing an approximation for calculating the wavelength of long waves (such as those caused by seismic events or other disturbances). Wavelength is denoted by λ symbol.

How to calculate Long Wave Simplification for Wavelength using this online calculator? To use this online calculator for Long Wave Simplification for Wavelength, enter Wave Period (T) & Water Depth (d) and hit the calculate button. Here is how the Long Wave Simplification for Wavelength calculation can be explained with given input values -> 9.626673 = 3*sqrt([g]*1.55).

FAQ

What is Long Wave Simplification for Wavelength?

The Long Wave Simplification for Wavelength formula is defined as providing an approximation for calculating the wavelength of long waves (such as those caused by seismic events or other disturbances) and is represented as λ = T*sqrt([g]*d) or Wavelength = Wave Period*sqrt([g]*Water Depth). Wave Period is the time between successive peaks or troughs & Water Depth of the considered catchment is measured from the water level to the bottom of the considered water body.

How to calculate Long Wave Simplification for Wavelength?

The Long Wave Simplification for Wavelength formula is defined as providing an approximation for calculating the wavelength of long waves (such as those caused by seismic events or other disturbances) is calculated using Wavelength = Wave Period*sqrt([g]*Water Depth). To calculate Long Wave Simplification for Wavelength, you need Wave Period (T) & Water Depth (d). With our tool, you need to enter the respective value for Wave Period & 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 Wavelength?

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

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

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