Wave period given wave depth and wavelength Calculator

✖Wavelength is the distance between two successive crests or troughs of a wave.ⓘ Wavelength [λ]			+10% -10%
✖Wave Angular Frequency is the rate of change of the phase of the wave over time, given by the symbol ω (omega).ⓘ Wave Angular Frequency [ω]			+10% -10%
✖Wave Number is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance.ⓘ Wave Number [k]			+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 wave depth and wavelength [P]

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Wave period given wave depth and wavelength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Period = (Wavelength*Wave Angular Frequency)/[g]*tanh(Wave Number*Water Depth)
P = (λ*ω)/[g]*tanh(k*D)
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

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

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.
Wave Angular Frequency - (Measured in Radian per Second) - Wave Angular Frequency is the rate of change of the phase of the wave over time, given by the symbol ω (omega).
Wave Number - Wave Number is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance.
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
Wave Angular Frequency: 6.2 Radian per Second --> 6.2 Radian per Second No Conversion Required
Wave Number: 0.23 --> No Conversion Required
Water Depth: 1.5 Meter --> 1.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (λ*ω)/[g]*tanh(k*D) --> (26.8*6.2)/[g]*tanh(0.23*1.5)

Evaluating ... ...

P = 5.62415596540765

STEP 3: Convert Result to Output's Unit

5.62415596540765 --> No Conversion Required

FINAL ANSWER

5.62415596540765 ≈ 5.624156 <-- 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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Wave period given wave depth and wavelength Formula

LaTeX Go

Wave Period = (Wavelength*Wave Angular Frequency)/[g]*tanh(Wave Number*Water Depth)
P = (λ*ω)/[g]*tanh(k*D)

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 wave depth and wavelength?

Wave period given wave depth and wavelength calculator uses Wave Period = (Wavelength*Wave Angular Frequency)/[g]*tanh(Wave Number*Water Depth) to calculate the Wave Period, The Wave period given wave depth and wavelength formula is defined as the time for a particle on a medium to make one complete vibrational cycle. Wave Period is denoted by P symbol.

How to calculate Wave period given wave depth and wavelength using this online calculator? To use this online calculator for Wave period given wave depth and wavelength, enter Wavelength (λ), Wave Angular Frequency (ω), Wave Number (k) & Water Depth (D) and hit the calculate button. Here is how the Wave period given wave depth and wavelength calculation can be explained with given input values -> 5.624156 = (26.8*6.2)/[g]*tanh(0.23*1.5).

FAQ

What is Wave period given wave depth and wavelength?

The Wave period given wave depth and wavelength formula is defined as the time for a particle on a medium to make one complete vibrational cycle and is represented as P = (λ*ω)/[g]*tanh(k*D) or Wave Period = (Wavelength*Wave Angular Frequency)/[g]*tanh(Wave Number*Water Depth). Wavelength is the distance between two successive crests or troughs of a wave, Wave Angular Frequency is the rate of change of the phase of the wave over time, given by the symbol ω (omega), Wave Number is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance & 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 wave depth and wavelength?

The Wave period given wave depth and wavelength formula is defined as the time for a particle on a medium to make one complete vibrational cycle is calculated using Wave Period = (Wavelength*Wave Angular Frequency)/[g]*tanh(Wave Number*Water Depth). To calculate Wave period given wave depth and wavelength, you need Wavelength (λ), Wave Angular Frequency (ω), Wave Number (k) & Water Depth (D). With our tool, you need to enter the respective value for Wavelength, Wave Angular Frequency, Wave Number & 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, Wave Angular Frequency, Wave Number & Water Depth. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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