Beach Slope given Breaking wave and wave height at breaking point Solution

STEP 0: Pre-Calculation Summary
Formula Used
Beach Slope = Breaking Wave*sqrt(Wave Height for Surface Gravity Waves/Deep-Water Wavelength)
β = ξ*sqrt(Hw/λo)
This formula uses 1 Functions, 4 Variables
Functions Used
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., sqrt(Number)
Variables Used
Beach Slope - (Measured in Radian) - 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.
Breaking Wave - Breaking Wave or breaker is a wave whose amplitude reaches a critical level at which some process can suddenly start to occur.
Wave Height for Surface Gravity Waves - (Measured in Meter) - 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.
Deep-Water Wavelength - (Measured in Meter) - Deep-Water Wavelength, deep water waves are defined as those occurring in ocean depths greater than twice the wavelength of the wave.
STEP 1: Convert Input(s) to Base Unit
Breaking Wave: 0.229 --> No Conversion Required
Wave Height for Surface Gravity Waves: 3 Meter --> 3 Meter No Conversion Required
Deep-Water Wavelength: 7 Meter --> 7 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
β = ξ*sqrt(Hwo) --> 0.229*sqrt(3/7)
Evaluating ... ...
β = 0.149915690592127
STEP 3: Convert Result to Output's Unit
0.149915690592127 Radian --> No Conversion Required
FINAL ANSWER
0.149915690592127 0.149916 Radian <-- Beach Slope
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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National Institute of Technology (NIT), Warangal
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16 Shoaling, Refraction and Breaking Calculators

Shoaling Coefficient
Go Shoaling Coefficient = (tanh(Wave Number for Water Wave*Mean Depth)*(1+(2*Wave Number for Water Wave*Mean Depth/sinh(2*Wave Number for Water Wave*Mean Depth))))^-0.5
Shoaling Coefficient given Wave Celerity
Go Shoaling Coefficient = sqrt(Deepwater Wave Celerity/(Celerity of the Wave*2*Ratio of Group Velocity to Phase Velocity))
Beach Slope given Breaking wave and wave height at breaking point
Go Beach Slope = Breaking Wave*sqrt(Wave Height for Surface Gravity Waves/Deep-Water Wavelength)
Breaking Wave given wave height at Breaking Point
Go Breaking Wave = Beach Slope/sqrt(Wave Height for Surface Gravity Waves/Deep-Water Wavelength)
Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient
Go Wave Height in Deepwater = Wave Height for Surface Gravity Waves/(Shoaling Coefficient*Refraction Coefficient)
Refraction Coefficient given Relative Change of Wave Height
Go Refraction Coefficient = Wave Height for Surface Gravity Waves/(Wave Height in Deepwater*Shoaling Coefficient)
Wave Height given Shoaling Coefficient and Refraction Coefficient
Go Wave Height for Surface Gravity Waves = Wave Height in Deepwater*Shoaling Coefficient*Refraction Coefficient
Refraction Coefficient
Go Refraction Coefficient = sqrt(Distance between Two Rays at Deepwater/Distance between two rays)
Wave Height at Breaking Point given Breaking Wave and Wave Height at breaking point
Go Wave Height for Surface Gravity Waves = (Deep-Water Wavelength*Beach Slope^2)/Breaking Wave^2
Deepwater Wavelength given Wave Breaking and wave height at breaking point
Go Deep-Water Wavelength = (Breaking Wave^2*Wave Height for Surface Gravity Waves)/Beach Slope^2
Distance between Two Rays at General Point
Go Distance between two rays = Distance between Two Rays at Deepwater/Refraction Coefficient^2
Shoaling Coefficient in Shallow Water
Go Shoaling Coefficient = 0.4466*(Deep-Water Wavelength/Water Depth in Ocean)^(1/4)
Water Depth when Reduced Shoaling Coefficient in shallow Water
Go Water Depth in Ocean = Deep-Water Wavelength/(Shoaling Coefficient/0.2821)^2
Deepwater Wavelength for Shoaling Coefficient in Shallow Water
Go Deep-Water Wavelength = (Shoaling Coefficient/0.4466)^4*Water Depth in Ocean
Wave Length for reduced shoaling coefficient in shallow water
Go Deep-Water Wavelength = Water Depth in Ocean*(Shoaling Coefficient/0.2821)^2
Water Depth given Shoaling Coefficient in Shallow Water
Go Water Depth in Ocean = Deep-Water Wavelength/(Shoaling Coefficient/0.4466)^4

Beach Slope given Breaking wave and wave height at breaking point Formula

Beach Slope = Breaking Wave*sqrt(Wave Height for Surface Gravity Waves/Deep-Water Wavelength)
β = ξ*sqrt(Hw/λo)

What is Breaking Wave?

In fluid dynamics, a breaking wave or breaker is a wave whose amplitude reaches a critical level at which some process can suddenly start to occur causing large amounts of wave energy to be transformed into turbulent kinetic energy.

How to Calculate Beach Slope given Breaking wave and wave height at breaking point?

Beach Slope given Breaking wave and wave height at breaking point calculator uses Beach Slope = Breaking Wave*sqrt(Wave Height for Surface Gravity Waves/Deep-Water Wavelength) to calculate the Beach Slope, Beach Slope given Breaking wave and wave height at breaking point is defined as 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 calculate Beach Slope given Breaking wave and wave height at breaking point using this online calculator? To use this online calculator for Beach Slope given Breaking wave and wave height at breaking point, enter Breaking Wave (ξ), Wave Height for Surface Gravity Waves (Hw) & Deep-Water Wavelength o) and hit the calculate button. Here is how the Beach Slope given Breaking wave and wave height at breaking point calculation can be explained with given input values -> 0.130931 = 0.229*sqrt(3/7).

FAQ

What is Beach Slope given Breaking wave and wave height at breaking point?
Beach Slope given Breaking wave and wave height at breaking point is defined as 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 and is represented as β = ξ*sqrt(Hwo) or Beach Slope = Breaking Wave*sqrt(Wave Height for Surface Gravity Waves/Deep-Water Wavelength). Breaking Wave or breaker is a wave whose amplitude reaches a critical level at which some process can suddenly start to occur, 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 & Deep-Water Wavelength, deep water waves are defined as those occurring in ocean depths greater than twice the wavelength of the wave.
How to calculate Beach Slope given Breaking wave and wave height at breaking point?
Beach Slope given Breaking wave and wave height at breaking point is defined as 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 is calculated using Beach Slope = Breaking Wave*sqrt(Wave Height for Surface Gravity Waves/Deep-Water Wavelength). To calculate Beach Slope given Breaking wave and wave height at breaking point, you need Breaking Wave (ξ), Wave Height for Surface Gravity Waves (Hw) & Deep-Water Wavelength o). With our tool, you need to enter the respective value for Breaking Wave, Wave Height for Surface Gravity Waves & Deep-Water Wavelength 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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