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Beach Slope Modified for Wave Setup Formula

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Modified Beach Slope for Wave setup depends on beach slope and breaker depth index. Check FAQs

β * = a \tan (\frac{\tan (β)}{1 + (3 \cdot \frac{{γ b}^{2}}{8})})

β^* - Modified Beach Slope?β - Beach Slope?γ_b - Breaker Depth Index?

Beach Slope Modified for Wave Setup Example

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Here is how the Beach Slope Modified for Wave Setup equation looks like with Values.

Here is how the Beach Slope Modified for Wave Setup equation looks like with Units.

Here is how the Beach Slope Modified for Wave Setup equation looks like.

0.1445 = a \tan (\frac{\tan (0.15)}{1 + (3 \cdot \frac{{0.32}^{2}}{8})})

0.1445 = a \tan (\frac{\tan (0.15)}{1 + (3 \cdot \frac{{0.32}^{2}}{8})})

0.1445 = a \tan (\frac{\tan (0.15)}{1 + (3 \cdot \frac{{0.32}^{2}}{8})})

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Beach Slope Modified for Wave Setup Solution

Follow our step by step solution on how to calculate Beach Slope Modified for Wave Setup?

FIRST Step Consider the formula

β * = a \tan (\frac{\tan (β)}{1 + (3 \cdot \frac{{γ b}^{2}}{8})})

Next Step Substitute values of Variables

∴

β * = a \tan (\frac{\tan (0.15)}{1 + (3 \cdot \frac{{0.32}^{2}}{8})})

Next Step Prepare to Evaluate

∴

β * = a \tan (\frac{\tan (0.15)}{1 + (3 \cdot \frac{{0.32}^{2}}{8})})

Next Step Evaluate

∴

β * = 0.144531374260377

LAST Step Rounding Answer

∴

β * = 0.1445

Beach Slope Modified for Wave Setup Formula Elements

Variables

Functions

Modified Beach Slope

Modified Beach Slope for Wave setup depends on beach slope and breaker depth index.

Symbol: β^*

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Modified Beach Slope

Beach Slope

Beach Slope refers to the slope of the beach face as a dynamic feature that changes with changes in wave conditions as well as the gain or loss of different sediment sizes on the beach face.

Symbol: β

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Beach Slope

Breaker Depth Index

Breaker Depth Index is the ratio of the wave height at breaking, to the water depth, at the breakpoint.

Symbol: γ_b

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Breaker Depth Index

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)

atan

Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle.

Syntax: atan(Number)

Other formulas in Longshore Current category

Go Radiation Stress Component

S xy = (\frac{n}{8}) \cdot ρ \cdot [g] \cdot (H^{2}) \cdot \cos (α) \cdot \sin (α)

Go Ratio of Wave Group Speed and Phase Speed

n = \frac{S xy \cdot 8}{ρ \cdot [g] \cdot H^{2} \cdot \cos (α) \cdot \sin (α)}

Go Wave Height given Radiation Stress Component

H = \sqrt{\frac{S xy \cdot 8}{ρ} \cdot [g] \cdot \cos (α) \cdot \sin (α)}

Go Longshore Current Speed

V = (5 \cdot \frac{π}{16}) \cdot \tan (β *) \cdot γ b \cdot \sqrt{[g] \cdot D} \cdot \sin (α) \cdot \frac{\cos (α)}{C f}

How to Evaluate Beach Slope Modified for Wave Setup?

Beach Slope Modified for Wave Setup evaluator uses Modified Beach Slope = atan(tan(Beach Slope)/(1+(3*Breaker Depth Index^2/8))) to evaluate the Modified Beach Slope, The Beach Slope Modified for Wave Setup formula is defined as the slope of the beach when there is an increase in mean water level due to the presence of breaking waves and it depends on the original beach slope and the breaker depth index. Modified Beach Slope is denoted by β^* symbol.

How to evaluate Beach Slope Modified for Wave Setup using this online evaluator? To use this online evaluator for Beach Slope Modified for Wave Setup, enter Beach Slope (β) & Breaker Depth Index (γ_b) and hit the calculate button.

FAQs on Beach Slope Modified for Wave Setup

What is the formula to find Beach Slope Modified for Wave Setup?

The formula of Beach Slope Modified for Wave Setup is expressed as Modified Beach Slope = atan(tan(Beach Slope)/(1+(3*Breaker Depth Index^2/8))). Here is an example- 0.147816 = atan(tan(0.15)/(1+(3*0.32^2/8))).

How to calculate Beach Slope Modified for Wave Setup?

With Beach Slope (β) & Breaker Depth Index (γ_b) we can find Beach Slope Modified for Wave Setup using the formula - Modified Beach Slope = atan(tan(Beach Slope)/(1+(3*Breaker Depth Index^2/8))). This formula also uses Tangent (tan), Inverse Tan (atan) function(s).

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Beach Slope Modified for Wave Setup Formula

Beach Slope Modified for Wave Setup Example

Beach Slope Modified for Wave Setup Solution

Beach Slope Modified for Wave Setup Formula Elements

Other formulas in Longshore Current category

How to Evaluate Beach Slope Modified for Wave Setup?

FAQs on Beach Slope Modified for Wave Setup

Variable Name