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Wave period given wave depth and wavelength Formula

GoWave Period given Wavelength and Water Depth Formula

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Wave Period is the time between successive peaks or troughs. Check FAQs

P = \frac{λ \cdot ω}{[g]} \cdot \tanh (k \cdot D)

P - Wave Period?λ - Wavelength?ω - Wave Angular Frequency?k - Wave Number?D - Water Depth?[g] - Gravitational acceleration on Earth?

Wave period given wave depth and wavelength Example

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Here is how the Wave period given wave depth and wavelength equation looks like with Values.

Here is how the Wave period given wave depth and wavelength equation looks like with Units.

Here is how the Wave period given wave depth and wavelength equation looks like.

5.6242 = \frac{26.8 \cdot 6.2}{9.8066} \cdot \tanh (0.23 \cdot 1.5)

5.6242 = \frac{26.8m \cdot 6.2rad/s}{9.8066m/s²} \cdot \tanh (0.23 \cdot 1.5m)

5.6242 = \frac{26.8 \cdot 6.2}{9.8066} \cdot \tanh (0.23 \cdot 1.5)

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Wave period given wave depth and wavelength Solution

Follow our step by step solution on how to calculate Wave period given wave depth and wavelength?

FIRST Step Consider the formula

P = \frac{λ \cdot ω}{[g]} \cdot \tanh (k \cdot D)

Next Step Substitute values of Variables

∴

P = \frac{26.8m \cdot 6.2rad/s}{[g]} \cdot \tanh (0.23 \cdot 1.5m)

Next Step Substitute values of Constants

∴

P = \frac{26.8m \cdot 6.2rad/s}{9.8066m/s²} \cdot \tanh (0.23 \cdot 1.5m)

Next Step Prepare to Evaluate

∴

P = \frac{26.8 \cdot 6.2}{9.8066} \cdot \tanh (0.23 \cdot 1.5)

Next Step Evaluate

∴

P = 5.62415596540765

LAST Step Rounding Answer

∴

P = 5.6242

Wave period given wave depth and wavelength Formula Elements

Variables

Constants

Functions

Wave Period

Wave Period is the time between successive peaks or troughs.

Symbol: P

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Wave Period

Wavelength

Wavelength is the distance between two successive crests or troughs of a wave.

Symbol: λ

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wavelength

Wave Angular Frequency

Wave Angular Frequency is the rate of change of the phase of the wave over time, given by the symbol ω (omega).

Symbol: ω

Measurement: Angular FrequencyUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Wave Angular Frequency

Wave Number

Wave Number is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Wave Number

Water Depth

Water Depth means the depth as measured from the water level to the bottom of the considered water body.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Water Depth

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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).

Syntax: tanh(Number)

Other Formulas to find Wave Period

Go Wave Period given Wavelength and Water Depth

P = 2 \cdot \frac{π}{{((2 \cdot π \cdot \frac{[g]}{λ}) \cdot \tanh (2 \cdot π \cdot \frac{D}{λ}))}^{0.5}}

Other formulas in Wave Period category

Go Wave Period given Radian Frequency of Wave

T = \frac{2 \cdot π}{ω}

Go Wave Period given Wave Celerity

T = \frac{λ}{C}

Go Wave Period given Wave Celerity and Wavelength

p = \frac{C \cdot 2 \cdot π}{[g] \cdot \tanh (2 \cdot π \cdot \frac{D}{λ})}

Go Wave Period for Known Deepwater Celerity

p = \frac{C \cdot 2 \cdot π}{[g]}

How to Evaluate Wave period given wave depth and wavelength?

Wave period given wave depth and wavelength evaluator uses Wave Period = (Wavelength*Wave Angular Frequency)/[g]*tanh(Wave Number*Water Depth) to evaluate 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 evaluate Wave period given wave depth and wavelength using this online evaluator? To use this online evaluator 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.

FAQs on Wave period given wave depth and wavelength

What is the formula to find Wave period given wave depth and wavelength?

The formula of Wave period given wave depth and wavelength is expressed as Wave Period = (Wavelength*Wave Angular Frequency)/[g]*tanh(Wave Number*Water Depth). Here is an example- 5.624156 = (26.8*6.2)/[g]*tanh(0.23*1.5).

How to calculate Wave period given wave depth and wavelength?

With Wavelength (λ), Wave Angular Frequency (ω), Wave Number (k) & Water Depth (D) we can find Wave period given wave depth and wavelength using the formula - Wave Period = (Wavelength*Wave Angular Frequency)/[g]*tanh(Wave Number*Water Depth). This formula also uses Gravitational acceleration on Earth constant(s) and Hyperbolic Tangent (tanh) function(s).

What are the other ways to Calculate Wave Period?

Here are the different ways to Calculate Wave Period-

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

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Wave period given wave depth and wavelength Formula

​GoWave Period given Wavelength and Water Depth Formula

Wave period given wave depth and wavelength Example

Wave period given wave depth and wavelength Solution

Wave period given wave depth and wavelength Formula Elements

Other Formulas to find Wave Period

Other formulas in Wave Period category

How to Evaluate Wave period given wave depth and wavelength?

FAQs on Wave period given wave depth and wavelength

Variable Name

GoWave Period given Wavelength and Water Depth Formula