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Deepwater Wavelength given Surf Similarity Parameter Formula

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Length of Surf Zone Waves extends from the point where the wave starts to break to where it finally dissipates along the shoreline. Check FAQs

L o = \frac{H o}{{(\frac{ξ o}{\tan (β)})}^{- \frac{1}{0.5}}}

L_o - Length of Surf Zone Waves?H_o - Wave Height of Surf Zone Waves?ξ_o - Surf Zone Waves Similarity Parameter?β - Slope of Beach of Surf Zone Waves?

Deepwater Wavelength given Surf Similarity Parameter Example

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Here is how the Deepwater Wavelength given Surf Similarity Parameter equation looks like with Values.

Here is how the Deepwater Wavelength given Surf Similarity Parameter equation looks like with Units.

Here is how the Deepwater Wavelength given Surf Similarity Parameter equation looks like.

2.9964 = \frac{6}{{(\frac{0.408}{\tan (30)})}^{- \frac{1}{0.5}}}

2.9964m = \frac{6m}{{(\frac{0.408}{\tan (30°)})}^{- \frac{1}{0.5}}}

2.9964 = \frac{6}{{(\frac{0.408}{\tan (30)})}^{- \frac{1}{0.5}}}

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Deepwater Wavelength given Surf Similarity Parameter Solution

Follow our step by step solution on how to calculate Deepwater Wavelength given Surf Similarity Parameter?

FIRST Step Consider the formula

L o = \frac{H o}{{(\frac{ξ o}{\tan (β)})}^{- \frac{1}{0.5}}}

Next Step Substitute values of Variables

∴

L o = \frac{6m}{{(\frac{0.408}{\tan (30°)})}^{- \frac{1}{0.5}}}

Next Step Convert Units

∴

L o = \frac{6m}{{(\frac{0.408}{\tan (0.5236rad)})}^{- \frac{1}{0.5}}}

Next Step Prepare to Evaluate

∴

L o = \frac{6}{{(\frac{0.408}{\tan (0.5236)})}^{- \frac{1}{0.5}}}

Next Step Evaluate

∴

L o = 2.996352m

LAST Step Rounding Answer

∴

L o = 2.9964m

Deepwater Wavelength given Surf Similarity Parameter Formula Elements

Variables

Functions

Length of Surf Zone Waves

Length of Surf Zone Waves extends from the point where the wave starts to break to where it finally dissipates along the shoreline.

Symbol: L_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Surf Zone Waves

Wave Height of Surf Zone Waves

Wave Height of Surf Zone Waves is the actual size of waves that are breaking on the beach within the surf zone which range in height from around 2 to 6 feet, based on the strength of the swell.

Symbol: H_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wave Height of Surf Zone Waves

Surf Zone Waves Similarity Parameter

Surf Zone Waves Similarity Parameter compares the wave surface slope to the bed slope in the surf zone and represents important features of the hydrodynamics of the surf zone.

Symbol: ξ_o

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Surf Zone Waves Similarity Parameter

Slope of Beach of Surf Zone Waves

Slope of Beach of Surf Zone Waves is the beach's angle, generally increasing with sediment grain size and protection from wave energy.

Symbol: β

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Slope of Beach of Surf Zone Waves

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other formulas in Irregular Waves category

Go Maximum Runup

R = H d' \cdot 2.32 \cdot {ε 0}^{0.77}

Go Deepwater Wave Height given Maximum Runup

H d' = \frac{R}{2.32 \cdot {ε 0}^{0.77}}

Go Deepwater Surf Similarity Parameter given Maximum Runup

ε 0 = {(\frac{R}{H d} \cdot 2.32)}^{\frac{1}{0.77}}

Go Runup Exceeded by 2 Percent of Runup Crests

R 2% = H d \cdot 1.86 \cdot {ε 0}^{0.71}

How to Evaluate Deepwater Wavelength given Surf Similarity Parameter?

Deepwater Wavelength given Surf Similarity Parameter evaluator uses Length of Surf Zone Waves = Wave Height of Surf Zone Waves/(Surf Zone Waves Similarity Parameter/tan(Slope of Beach of Surf Zone Waves))^(-1/0.5) to evaluate the Length of Surf Zone Waves, The Deepwater Wavelength given Surf Similarity Parameter formula is defined as the distance between corresponding points of two consecutive waves. “Corresponding points” refers to two points or particles in same phase i.e., points that have completed identical fractions of their periodic motion. Length of Surf Zone Waves is denoted by L_o symbol.

How to evaluate Deepwater Wavelength given Surf Similarity Parameter using this online evaluator? To use this online evaluator for Deepwater Wavelength given Surf Similarity Parameter, enter Wave Height of Surf Zone Waves (H_o), Surf Zone Waves Similarity Parameter (ξ_o) & Slope of Beach of Surf Zone Waves (β) and hit the calculate button.

FAQs on Deepwater Wavelength given Surf Similarity Parameter

What is the formula to find Deepwater Wavelength given Surf Similarity Parameter?

The formula of Deepwater Wavelength given Surf Similarity Parameter is expressed as Length of Surf Zone Waves = Wave Height of Surf Zone Waves/(Surf Zone Waves Similarity Parameter/tan(Slope of Beach of Surf Zone Waves))^(-1/0.5). Here is an example- 2.996352 = 6/(0.408/tan(0.5235987755982))^(-1/0.5).

How to calculate Deepwater Wavelength given Surf Similarity Parameter?

With Wave Height of Surf Zone Waves (H_o), Surf Zone Waves Similarity Parameter (ξ_o) & Slope of Beach of Surf Zone Waves (β) we can find Deepwater Wavelength given Surf Similarity Parameter using the formula - Length of Surf Zone Waves = Wave Height of Surf Zone Waves/(Surf Zone Waves Similarity Parameter/tan(Slope of Beach of Surf Zone Waves))^(-1/0.5). This formula also uses Tangent (tan) function(s).

Can the Deepwater Wavelength given Surf Similarity Parameter be negative?

No, the Deepwater Wavelength given Surf Similarity Parameter, measured in Length cannot be negative.

Which unit is used to measure Deepwater Wavelength given Surf Similarity Parameter?

Deepwater Wavelength given Surf Similarity Parameter is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Deepwater Wavelength given Surf Similarity Parameter can be measured.

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Deepwater Wavelength given Surf Similarity Parameter Formula

Deepwater Wavelength given Surf Similarity Parameter Example

Deepwater Wavelength given Surf Similarity Parameter Solution

Deepwater Wavelength given Surf Similarity Parameter Formula Elements

Other formulas in Irregular Waves category

How to Evaluate Deepwater Wavelength given Surf Similarity Parameter?

FAQs on Deepwater Wavelength given Surf Similarity Parameter

Variable Name