Wave Period given Wavelength and Water Depth Calculator

✖Wavelength is the distance between two successive crests or troughs of a wave.ⓘ Wavelength [λ]			+10% -10%
✖Water Depth means the depth as measured from the water level to the bottom of the considered water body.ⓘ Water Depth [D]			+10% -10%

✖Wave Period is the time between successive peaks or troughs.ⓘ Wave Period given Wavelength and Water Depth [P]

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Wave Period given Wavelength and Water Depth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Period = 2*pi/((2*pi*[g]/Wavelength)*tanh(2*pi*Water Depth/Wavelength))^0.5
P = 2*pi/((2*pi*[g]/λ)*tanh(2*pi*D/λ))^0.5
This formula uses 2 Constants, 1 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

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

Wave Period - Wave Period is the time between successive peaks or troughs.
Wavelength - (Measured in Meter) - Wavelength is the distance between two successive crests or troughs of a wave.
Water Depth - (Measured in Meter) - Water Depth means the depth as measured from the water level to the bottom of the considered water body.

STEP 1: Convert Input(s) to Base Unit

Wavelength: 26.8 Meter --> 26.8 Meter No Conversion Required
Water Depth: 1.5 Meter --> 1.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 2*pi/((2*pi*[g]/λ)*tanh(2*pi*D/λ))^0.5 --> 2*pi/((2*pi*[g]/26.8)*tanh(2*pi*1.5/26.8))^0.5

Evaluating ... ...

P = 7.12903697703261

STEP 3: Convert Result to Output's Unit

7.12903697703261 --> No Conversion Required

FINAL ANSWER

7.12903697703261 ≈ 7.129037 <-- Wave Period

(Calculation completed in 00.020 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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NSS College of Engineering (NSSCE), Palakkad

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Wave Period given Wavelength and Water Depth Formula

LaTeX Go

Wave Period = 2*pi/((2*pi*[g]/Wavelength)*tanh(2*pi*Water Depth/Wavelength))^0.5
P = 2*pi/((2*pi*[g]/λ)*tanh(2*pi*D/λ))^0.5

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, λ. 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 travels at higher speed.

How to Calculate Wave Period given Wavelength and Water Depth?

Wave Period given Wavelength and Water Depth calculator uses Wave Period = 2*pi/((2*pi*[g]/Wavelength)*tanh(2*pi*Water Depth/Wavelength))^0.5 to calculate the Wave Period, The Wave Period given Wavelength and Water Depth formula is defined as time for particle on medium to make one complete vibrational cycle. Wave Period is denoted by P symbol.

How to calculate Wave Period given Wavelength and Water Depth using this online calculator? To use this online calculator for Wave Period given Wavelength and Water Depth, enter Wavelength (λ) & Water Depth (D) and hit the calculate button. Here is how the Wave Period given Wavelength and Water Depth calculation can be explained with given input values -> 7.129037 = 2*pi/((2*pi*[g]/26.8)*tanh(2*pi*1.5/26.8))^0.5.

FAQ

What is Wave Period given Wavelength and Water Depth?

The Wave Period given Wavelength and Water Depth formula is defined as time for particle on medium to make one complete vibrational cycle and is represented as P = 2*pi/((2*pi*[g]/λ)*tanh(2*pi*D/λ))^0.5 or Wave Period = 2*pi/((2*pi*[g]/Wavelength)*tanh(2*pi*Water Depth/Wavelength))^0.5. Wavelength is the distance between two successive crests or troughs of a wave & Water Depth means the depth as measured from the water level to the bottom of the considered water body.

How to calculate Wave Period given Wavelength and Water Depth?

The Wave Period given Wavelength and Water Depth formula is defined as time for particle on medium to make one complete vibrational cycle is calculated using Wave Period = 2*pi/((2*pi*[g]/Wavelength)*tanh(2*pi*Water Depth/Wavelength))^0.5. To calculate Wave Period given Wavelength and Water Depth, you need Wavelength (λ) & Water Depth (D). With our tool, you need to enter the respective value for 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 Wave Period?

In this formula, Wave Period uses Wavelength & Water Depth. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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