Empirically Determined Functions of Beach Slope Parameter a Calculator

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

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✖Functions of Beach Slope A is an empirically determined parameter that establishes correlations between the slope angle and wave dynamics, sediment transport, and coastal erosion rates.ⓘ Empirically Determined Functions of Beach Slope Parameter a [a]

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Formula

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Empirically Determined Functions of Beach Slope Parameter a

Formula

`"a" = 43.8*(1-e^(-19*tan("β")))`

Example

`"43.79925"=43.8*(1-e^(-19*tan("30°")))`

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Empirically Determined Functions of Beach Slope Parameter a Solution

STEP 0: Pre-Calculation Summary

Formula Used

Functions of Beach Slope A = 43.8*(1-e^(-19*tan(Slope of Beach of Surf Zone Waves)))
a = 43.8*(1-e^(-19*tan(β)))
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Functions Used

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., tan(Angle)

Variables Used

Functions of Beach Slope A - Functions of Beach Slope A is an empirically determined parameter that establishes correlations between the slope angle and wave dynamics, sediment transport, and coastal erosion rates.
Slope of Beach of Surf Zone Waves - (Measured in Radian) - Slope of Beach of Surf Zone Waves is the beach's angle, generally increasing with sediment grain size and protection from wave energy.

STEP 1: Convert Input(s) to Base Unit

Slope of Beach of Surf Zone Waves: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = 43.8*(1-e^(-19*tan(β))) --> 43.8*(1-e^(-19*tan(0.5235987755982)))

Evaluating ... ...

a = 43.7992459269393

STEP 3: Convert Result to Output's Unit

43.7992459269393 --> No Conversion Required

FINAL ANSWER

43.7992459269393 ≈ 43.79925 <-- Functions of Beach Slope A

(Calculation completed in 00.004 seconds)

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< 21 Irregular Waves Calculators

Deepwater Wave Height given Surf Similarity Parameter

Go Wave Height of Surf Zone Waves = Length of Surf Zone Waves*(Surf Zone Waves Similarity Parameter/tan(Slope of Beach of Surf Zone Waves))^(-1/0.5)

Deepwater Wavelength given Surf Similarity Parameter

Go 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)

Deepwater Surf Similarity Parameter

Go Surf Zone Waves Similarity Parameter = tan(Slope of Beach of Surf Zone Waves)*(Wave Height of Surf Zone Waves/Length of Surf Zone Waves)^-0.5

Wave Period given Long Wave Simplification for Wavelength

Go Wave Period in Coasts = Wavelength of Coast/sqrt([g]*Wave Height)

Deepwater Surf Similarity Parameter given Runup

Go Deepwater Surf Similarity Parameter = (Runup Exceeded by 2 Percent of the Runup Crests/(Deepwater Wave Height*1.86))^(1/0.71)

Deepwater Wave Height given Runup Exceeded by 2 Percent of Runup Crests

Go Deepwater Wave Height = Runup Exceeded by 2 Percent of the Runup Crests/(1.86*Deepwater Surf Similarity Parameter^0.71)

Deepwater Surf Similarity Parameter given Average of Highest One Tenth of Runups

Go Deepwater Surf Similarity Parameter = (Average of the Highest 1/10 of the Runup/(Deepwater Wave Height*1.7))^(1/0.71)

Runup Exceeded by 2 Percent of Runup Crests

Go Runup Exceeded by 2 Percent of the Runup Crests = Deepwater Wave Height*1.86*Deepwater Surf Similarity Parameter^0.71

Surf Similarity Parameter given Average of Highest One Third of Runups

Go Deepwater Surf Similarity Parameter = (Average of the Highest 1/3 of the Runups/Deepwater Wave Height*1.38)^(1/0.7)

Deepwater Wave Height given Average of Highest One Tenth of Runups

Go Deepwater Wave Height = Average of the Highest 1/10 of the Runup/(1.7*Deepwater Surf Similarity Parameter^0.71)

Deepwater Wave Height given Average of Highest One Third of Runups

Go Deepwater Wave Height = Average of the Highest 1/3 of the Runups/(1.38*Deepwater Surf Similarity Parameter^0.7)

Average of Highest One Tenth of Runups

Go Average of the Highest 1/10 of the Runup = Deepwater Wave Height*1.7*Deepwater Surf Similarity Parameter^0.71

Average of Highest One Third of Runups

Go Average of the Highest 1/3 of the Runups = Deepwater Wave Height*1.38*Deepwater Surf Similarity Parameter^0.7

Deepwater Wave Height given Maximum Runup

Go Deepwater Wave Height of Coast = Wave Runup/(2.32*Deepwater Surf Similarity Parameter^0.77)

Maximum Runup

Go Wave Runup = Deepwater Wave Height of Coast*2.32*Deepwater Surf Similarity Parameter^0.77

Empirically Determined Functions of Beach Slope Parameter b

Go Functions of Beach Slope B = 1.56/(1+e^(-19.5*tan(Slope of Beach of Surf Zone Waves)))

Deepwater Surf Similarity Parameter given Maximum Runup

Go Deepwater Surf Similarity Parameter = (Wave Runup/Deepwater Wave Height*2.32)^(1/0.77)

Deepwater Surf Similarity Parameter given Mean Runup

Go Deepwater Surf Similarity Parameter = (Mean Runup/(0.88*Deepwater Wave Height))^1/0.69

Empirically Determined Functions of Beach Slope Parameter a

Go Functions of Beach Slope A = 43.8*(1-e^(-19*tan(Slope of Beach of Surf Zone Waves)))

Deepwater Wave Height given Mean Runup

Go Deepwater Wave Height = Mean Runup/(0.88*Deepwater Surf Similarity Parameter^0.69)

Mean Runup

Go Mean Runup = Deepwater Wave Height*0.88*Deepwater Surf Similarity Parameter^0.69

Empirically Determined Functions of Beach Slope Parameter a Formula

Functions of Beach Slope A = 43.8*(1-e^(-19*tan(Slope of Beach of Surf Zone Waves)))
a = 43.8*(1-e^(-19*tan(β)))

What is Breaker Index?

Breaker Index is defined as the ratio between the height of a wave and the water depth in which the wave breaks. or The ratio of wave height and still water depth at the shore face location where waves start breaking.

How to Calculate Empirically Determined Functions of Beach Slope Parameter a?

Empirically Determined Functions of Beach Slope Parameter a calculator uses Functions of Beach Slope A = 43.8*(1-e^(-19*tan(Slope of Beach of Surf Zone Waves))) to calculate the Functions of Beach Slope A, The Empirically Determined Functions of Beach Slope Parameter a formula is defined as a parameter influencing the Breaker Depth Index that is commonly used to define the wave height at breaking. Functions of Beach Slope A is denoted by a symbol.

How to calculate Empirically Determined Functions of Beach Slope Parameter a using this online calculator? To use this online calculator for Empirically Determined Functions of Beach Slope Parameter a, enter Slope of Beach of Surf Zone Waves (β) and hit the calculate button. Here is how the Empirically Determined Functions of Beach Slope Parameter a calculation can be explained with given input values -> 43.79925 = 43.8*(1-e^(-19*tan(0.5235987755982))).

FAQ

What is Empirically Determined Functions of Beach Slope Parameter a?

The Empirically Determined Functions of Beach Slope Parameter a formula is defined as a parameter influencing the Breaker Depth Index that is commonly used to define the wave height at breaking and is represented as a = 43.8*(1-e^(-19*tan(β))) or Functions of Beach Slope A = 43.8*(1-e^(-19*tan(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.

How to calculate Empirically Determined Functions of Beach Slope Parameter a?

The Empirically Determined Functions of Beach Slope Parameter a formula is defined as a parameter influencing the Breaker Depth Index that is commonly used to define the wave height at breaking is calculated using Functions of Beach Slope A = 43.8*(1-e^(-19*tan(Slope of Beach of Surf Zone Waves))). To calculate Empirically Determined Functions of Beach Slope Parameter a, you need Slope of Beach of Surf Zone Waves (β). With our tool, you need to enter the respective value for Slope of Beach of Surf Zone Waves and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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