FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Beach Slope given Breaking Wave and Wave Height at Breaking Point Formula

Fx Copy

LaTeX Copy

Beach Slope refers to the incline or gradient of the shoreline, determining the rate at which the beach elevation changes horizontally with distance from the water. Check FAQs

β = ξ \cdot \sqrt{\frac{H w}{λ o}}

β - Beach Slope?ξ - Breaking Wave?H_w - Wave Height for Surface Gravity Waves?λ_o - Deep-Water Wavelength?

Beach Slope given Breaking Wave and Wave Height at Breaking Point Example

With values

With units

Only example

Here is how the Beach Slope given Breaking Wave and Wave Height at Breaking Point equation looks like with Values.

Here is how the Beach Slope given Breaking Wave and Wave Height at Breaking Point equation looks like with Units.

Here is how the Beach Slope given Breaking Wave and Wave Height at Breaking Point equation looks like.

0.1499 = 0.229 \cdot \sqrt{\frac{3}{7}}

0.1499rad = 0.229 \cdot \sqrt{\frac{3m}{7m}}

0.1499 = 0.229 \cdot \sqrt{\frac{3}{7}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Coastal and Ocean Engineering » fx Beach Slope given Breaking Wave and Wave Height at Breaking Point

Beach Slope given Breaking Wave and Wave Height at Breaking Point Solution

Follow our step by step solution on how to calculate Beach Slope given Breaking Wave and Wave Height at Breaking Point?

FIRST Step Consider the formula

β = ξ \cdot \sqrt{\frac{H w}{λ o}}

Next Step Substitute values of Variables

∴

β = 0.229 \cdot \sqrt{\frac{3m}{7m}}

Next Step Prepare to Evaluate

∴

β = 0.229 \cdot \sqrt{\frac{3}{7}}

Next Step Evaluate

∴

β = 0.149915690592127rad

LAST Step Rounding Answer

∴

β = 0.1499rad

Beach Slope given Breaking Wave and Wave Height at Breaking Point Formula Elements

Variables

Functions

Beach Slope

Beach Slope refers to the incline or gradient of the shoreline, determining the rate at which the beach elevation changes horizontally with distance from the water.

Symbol: β

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Beach Slope

Breaking Wave

Breaking Wave or breaker is a wave whose amplitude reaches a critical level at which some process can suddenly start to occur.

Symbol: ξ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Breaking Wave

Wave Height for Surface Gravity Waves

The Wave Height for Surface Gravity Waves refers to the vertical distance between the trough (bottom) and crest (top) of a wave, measured from sea level.

Symbol: H_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wave Height for Surface Gravity Waves

Deep-Water Wavelength

Deep-Water Wavelength is the horizontal distance between two successive crests (or troughs) of the wave.

Symbol: λ_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Deep-Water Wavelength

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Shoaling, Refraction and Breaking category

Go Shoaling Coefficient

K s = {(\tanh (k \cdot d) \cdot (1 + (2 \cdot k \cdot \frac{d}{\sinh (2 \cdot k \cdot d)})))}^{- 0.5}

Go Refraction Coefficient

K r = \sqrt{\frac{b 0}{b}}

Go Distance between Two Rays at General Point

b = \frac{b 0}{{K r}^{2}}

Go Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient

H o = \frac{H w}{K s \cdot K r}

How to Evaluate Beach Slope given Breaking Wave and Wave Height at Breaking Point?

Beach Slope given Breaking Wave and Wave Height at Breaking Point evaluator uses Beach Slope = Breaking Wave*sqrt(Wave Height for Surface Gravity Waves/Deep-Water Wavelength) to evaluate the Beach Slope, The Beach Slope given Breaking Wave and Wave Height at Breaking Point is defined as an angle of beach gradient is h/l or tan(slope) beaches typically have steep gradient (over 10˚) because waves easily flow through coarse, porous surface of beach. Beach Slope is denoted by β symbol.

How to evaluate Beach Slope given Breaking Wave and Wave Height at Breaking Point using this online evaluator? To use this online evaluator for Beach Slope given Breaking Wave and Wave Height at Breaking Point, enter Breaking Wave (ξ), Wave Height for Surface Gravity Waves (H_w) & Deep-Water Wavelength (λ_o) and hit the calculate button.

FAQs on Beach Slope given Breaking Wave and Wave Height at Breaking Point

What is the formula to find Beach Slope given Breaking Wave and Wave Height at Breaking Point?

The formula of Beach Slope given Breaking Wave and Wave Height at Breaking Point is expressed as Beach Slope = Breaking Wave*sqrt(Wave Height for Surface Gravity Waves/Deep-Water Wavelength). Here is an example- 0.130931 = 0.229*sqrt(3/7).

How to calculate Beach Slope given Breaking Wave and Wave Height at Breaking Point?

With Breaking Wave (ξ), Wave Height for Surface Gravity Waves (H_w) & Deep-Water Wavelength (λ_o) we can find Beach Slope given Breaking Wave and Wave Height at Breaking Point using the formula - Beach Slope = Breaking Wave*sqrt(Wave Height for Surface Gravity Waves/Deep-Water Wavelength). This formula also uses Square Root (sqrt) function(s).

Can the Beach Slope given Breaking Wave and Wave Height at Breaking Point be negative?

No, the Beach Slope given Breaking Wave and Wave Height at Breaking Point, measured in Angle cannot be negative.

Which unit is used to measure Beach Slope given Breaking Wave and Wave Height at Breaking Point?

Beach Slope given Breaking Wave and Wave Height at Breaking Point is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Beach Slope given Breaking Wave and Wave Height at Breaking Point can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Beach Slope given Breaking Wave and Wave Height at Breaking Point Formula

Beach Slope given Breaking Wave and Wave Height at Breaking Point Example

Beach Slope given Breaking Wave and Wave Height at Breaking Point Solution

Beach Slope given Breaking Wave and Wave Height at Breaking Point Formula Elements

Other formulas in Shoaling, Refraction and Breaking category

How to Evaluate Beach Slope given Breaking Wave and Wave Height at Breaking Point?

FAQs on Beach Slope given Breaking Wave and Wave Height at Breaking Point

Variable Name