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Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year Formula

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Refraction Coefficient when waves approach a plane base travelling from deep water into shallow water. Check FAQs

K r = \sqrt{\frac{S'}{(0.44 \cdot 10^{6}) \cdot {H o}^{2} \cdot C o \cdot \sin (φ br) \cdot \cos (φ br)}}

K_r - Refraction Coefficient?S' - Total Littoral Transport in cubic meter per year?H_o - Wave Height in Deep Water?C_o - Deepwater Wave Celerity?φ_br - Angle of Wave Incidence?

Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year Example

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Here is how the Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year equation looks like with Values.

Here is how the Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year equation looks like with Units.

Here is how the Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year equation looks like.

0.1 = \sqrt{\frac{2E+7}{(0.44 \cdot 10^{6}) \cdot {44.94}^{2} \cdot 4.5 \cdot \sin (45) \cdot \cos (45)}}

0.1 = \sqrt{\frac{2E+7}{(0.44 \cdot 10^{6}) \cdot {44.94m}^{2} \cdot 4.5m/s \cdot \sin (45°) \cdot \cos (45°)}}

0.1 = \sqrt{\frac{2E+7}{(0.44 \cdot 10^{6}) \cdot {44.94}^{2} \cdot 4.5 \cdot \sin (45) \cdot \cos (45)}}

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Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year Solution

Follow our step by step solution on how to calculate Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year?

FIRST Step Consider the formula

K r = \sqrt{\frac{S'}{(0.44 \cdot 10^{6}) \cdot {H o}^{2} \cdot C o \cdot \sin (φ br) \cdot \cos (φ br)}}

Next Step Substitute values of Variables

∴

K r = \sqrt{\frac{2E+7}{(0.44 \cdot 10^{6}) \cdot {44.94m}^{2} \cdot 4.5m/s \cdot \sin (45°) \cdot \cos (45°)}}

Next Step Convert Units

∴

K r = \sqrt{\frac{2E+7}{(0.44 \cdot 10^{6}) \cdot {44.94m}^{2} \cdot 4.5m/s \cdot \sin (0.7854rad) \cdot \cos (0.7854rad)}}

Next Step Prepare to Evaluate

∴

K r = \sqrt{\frac{2E+7}{(0.44 \cdot 10^{6}) \cdot {44.94}^{2} \cdot 4.5 \cdot \sin (0.7854) \cdot \cos (0.7854)}}

Next Step Evaluate

∴

K r = 0.100014814191254

LAST Step Rounding Answer

∴

K r = 0.1

Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year Formula Elements

Variables

Functions

Refraction Coefficient

Refraction Coefficient when waves approach a plane base travelling from deep water into shallow water.

Symbol: K_r

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Refraction Coefficient

Total Littoral Transport in cubic meter per year

The Total Littoral Transport in cubic meter per year is the sum of the absolute values of transport of non-cohesive sediments in the littoral zone along shoreline mainly due to breaking waves.

Symbol: S'

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Total Littoral Transport in cubic meter per year

Wave Height in Deep Water

Wave Height in Deep Water is the vertical distance between the crest (highest point) and the trough (lowest point) of a wave in deep water considered to be water deeper than 1/2 surface wavelength.

Symbol: H_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wave Height in Deep Water

Deepwater Wave Celerity

Deepwater Wave Celerity is the speed at which an individual wave advances or propagates occurring or existing in water of great depth.

Symbol: C_o

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Deepwater Wave Celerity

Angle of Wave Incidence

Angle of Wave Incidence is the angle between the wave propagation direction and the normal to the coastline or the angle between the wavefront and the coastline.

Symbol: φ_br

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Wave Incidence

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

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 Sediment Transport along Coasts category

Go Total Littoral Transport in Entire Breaker Zone in CERC Formula

S = 0.014 \cdot {H d}^{2} \cdot C o \cdot {K r}^{2} \cdot \sin (φ br) \cdot \cos (φ br)

Go Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula

H d = \sqrt{\frac{S}{0.014 \cdot C o \cdot {K r}^{2} \cdot \sin (φ br) \cdot \cos (φ br)}}

Go Wave Speed in Deepwater for Total Littoral Transport in Entire Breaker Zone in CERC Formula

C o = (\frac{S}{0.014 \cdot {H d}^{2} \cdot {K r}^{2} \cdot \sin (φ br) \cdot \cos (φ br)})

Go Wave Height in Deepwater for Total Littoral Transport in Breaker Zone in Cubic Meter per Year

H o = \sqrt{\frac{S'}{(0.44 \cdot 10^{6}) \cdot C o \cdot {K r}^{2} \cdot \sin (φ br) \cdot \cos (φ br)}}

How to Evaluate Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year?

Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year evaluator uses Refraction Coefficient = sqrt(Total Littoral Transport in cubic meter per year/((0.44*10^6)*Wave Height in Deep Water^2*Deepwater Wave Celerity*sin(Angle of Wave Incidence)*cos(Angle of Wave Incidence))) to evaluate the Refraction Coefficient, Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year formula is defined as waves approaching plane beach travelling from deep water into shallow water. Refraction Coefficient is denoted by K_r symbol.

How to evaluate Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year using this online evaluator? To use this online evaluator for Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year, enter Total Littoral Transport in cubic meter per year (S'), Wave Height in Deep Water (H_o), Deepwater Wave Celerity (C_o) & Angle of Wave Incidence (φ_br) and hit the calculate button.

FAQs on Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year

What is the formula to find Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year?

The formula of Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year is expressed as Refraction Coefficient = sqrt(Total Littoral Transport in cubic meter per year/((0.44*10^6)*Wave Height in Deep Water^2*Deepwater Wave Celerity*sin(Angle of Wave Incidence)*cos(Angle of Wave Incidence))). Here is an example- 0.100015 = sqrt(20000000/((0.44*10^6)*44.94^2*4.5*sin(0.785398163397301)*cos(0.785398163397301))).

How to calculate Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year?

With Total Littoral Transport in cubic meter per year (S'), Wave Height in Deep Water (H_o), Deepwater Wave Celerity (C_o) & Angle of Wave Incidence (φ_br) we can find Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year using the formula - Refraction Coefficient = sqrt(Total Littoral Transport in cubic meter per year/((0.44*10^6)*Wave Height in Deep Water^2*Deepwater Wave Celerity*sin(Angle of Wave Incidence)*cos(Angle of Wave Incidence))). This formula also uses Sine (sin)Cosine (cos), Square Root (sqrt) function(s).

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Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year Formula

Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year Example

Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year Solution

Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year Formula Elements

Other formulas in Sediment Transport along Coasts category

How to Evaluate Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year?

FAQs on Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year

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