Wave Period given Breaker Depth Index Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wave Period for Breaker Index = sqrt((Empirically determined Functions of Beach Slope A*Wave Height at Incipient Breaking)/([g]*(Empirically determined Functions of Beach Slope B-Breaker Depth Index)))
Tb = sqrt((a*Hb)/([g]*(b-γb)))
This formula uses 1 Constants, 1 Functions, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
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
Wave Period for Breaker Index - (Measured in Second) - Wave period for Breaker Index influences the breaker index in the surf wave zone, determining wave steepness and the likelihood of waves breaking, impacting surf quality and rideability.
Empirically determined Functions of Beach Slope A - Empirically determined Functions of Beach Slope A empirically establish correlations between the slope angle and wave dynamics, sediment transport, and coastal erosion rates.
Wave Height at Incipient Breaking - (Measured in Meter) - Wave Height at Incipient Breaking is defined as the point that wave height is maximum.
Empirically determined Functions of Beach Slope B - Empirically determined Functions of Beach Slope B empirically establish correlations between the slope angle and wave dynamics, sediment transport, and coastal erosion rates.
Breaker Depth Index - Breaker Depth Index is commonly used to define the wave height at breaking.
STEP 1: Convert Input(s) to Base Unit
Empirically determined Functions of Beach Slope A: 43.8 --> No Conversion Required
Wave Height at Incipient Breaking: 18 Meter --> 18 Meter No Conversion Required
Empirically determined Functions of Beach Slope B: 1.56 --> No Conversion Required
Breaker Depth Index: 0.32 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tb = sqrt((a*Hb)/([g]*(b-γb))) --> sqrt((43.8*18)/([g]*(1.56-0.32)))
Evaluating ... ...
Tb = 8.05196961634633
STEP 3: Convert Result to Output's Unit
8.05196961634633 Second --> No Conversion Required
FINAL ANSWER
8.05196961634633 8.05197 Second <-- Wave Period for Breaker Index
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Calculator and 2000+ more calculators!
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National Institute of Technology Karnataka (NITK), Surathkal
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16 Breaker Index Calculators

Wave Period given Breaker Depth Index
Go Wave Period for Breaker Index = sqrt((Empirically determined Functions of Beach Slope A*Wave Height at Incipient Breaking)/([g]*(Empirically determined Functions of Beach Slope B-Breaker Depth Index)))
Breaker Depth Index given Wave Period
Go Breaker Depth Index = Empirically determined Functions of Beach Slope B-Empirically determined Functions of Beach Slope A*(Wave Height at Incipient Breaking/([g]*Wave Period for Breaker Index^2))
Wave Height at Incipient Breaking using Beach Slope
Go Wave Height at Incipient Breaking = [g]*Wave Period for Breaker Index^2*(Empirically determined Functions of Beach Slope B-Breaker Depth Index)/Empirically determined Functions of Beach Slope A
Semi-Empirical relationship for Breaker Height Index from Linear Wave Theory
Go Breaker Height Index = 0.56*(Equivalent Un-refracted Deepwater Wave Height/Deep-Water Wavelength)^(-1/5)
Equivalent Un-refracted Deepwater Wave Height given Breaker Height Index from Linear Wave Theory
Go Equivalent Un-refracted Deepwater Wave Height = Deep-Water Wavelength*(Breaker Height Index/0.56)^(-5)
Deepwater Wave Length given Breaker Height Index from Linear Wave Theory
Go Deep-Water Wavelength = Equivalent Un-refracted Deepwater Wave Height/(Breaker Height Index/0.56)^(-5)
Water Depth Breaking given Breaker Depth Index
Go Water Depth at Breaking = (Wave Height at Incipient Breaking/Breaker Depth Index)
Wave Height at Incipient Breaking given Breaker Depth Index
Go Wave Height at Incipient Breaking = Breaker Depth Index*Water Depth at Breaking
Breaker Depth Index
Go Breaker Depth Index = Wave Height at Incipient Breaking/Water Depth at Breaking
Wave Height at Incipient Breaking given Breaker Height Index
Go Wave Height at Incipient Breaking = Breaker Height Index*Deep-Water Wavelength
Deepwater Wave Height given Breaker Height Index
Go Deep-Water Wavelength = Wave Height at Incipient Breaking/Breaker Height Index
Breaker Height Index
Go Breaker Height Index = Wave Height at Incipient Breaking/Deep-Water Wavelength
Local Depth given Zero-moment Wave Height at Breaking
Go Local Depth = Zero-Moment Wave Height at Breaking/0.6
Zero-moment Wave Height at Breaking
Go Zero-Moment Wave Height at Breaking = 0.6*Local Depth
Local Depth given Root-mean-square Wave Height at Breaking
Go Local Depth = RMS of all measured Wave Heights/0.42
Root-mean-square Wave Height at Breaking
Go RMS of all measured Wave Heights = 0.42*Local Depth

Wave Period given Breaker Depth Index Formula

Wave Period for Breaker Index = sqrt((Empirically determined Functions of Beach Slope A*Wave Height at Incipient Breaking)/([g]*(Empirically determined Functions of Beach Slope B-Breaker Depth Index)))
Tb = sqrt((a*Hb)/([g]*(b-γb)))

What is Breaker Index?

The Breaker Index is defined as the ratio between the height of a wave and the water depth in which the wave breaks.

How to Calculate Wave Period given Breaker Depth Index?

Wave Period given Breaker Depth Index calculator uses Wave Period for Breaker Index = sqrt((Empirically determined Functions of Beach Slope A*Wave Height at Incipient Breaking)/([g]*(Empirically determined Functions of Beach Slope B-Breaker Depth Index))) to calculate the Wave Period for Breaker Index, The Wave Period given Breaker Depth Index is defined as the time it takes to complete one cycle. Standard unit of wave period is in seconds, and it is inversely proportional to frequency of wave, which is number of cycles of waves that occur in one second. Wave Period for Breaker Index is denoted by Tb symbol.

How to calculate Wave Period given Breaker Depth Index using this online calculator? To use this online calculator for Wave Period given Breaker Depth Index, enter Empirically determined Functions of Beach Slope A (a), Wave Height at Incipient Breaking (Hb), Empirically determined Functions of Beach Slope B (b) & Breaker Depth Index b) and hit the calculate button. Here is how the Wave Period given Breaker Depth Index calculation can be explained with given input values -> 8.05197 = sqrt((43.8*18)/([g]*(1.56-0.32))).

FAQ

What is Wave Period given Breaker Depth Index?
The Wave Period given Breaker Depth Index is defined as the time it takes to complete one cycle. Standard unit of wave period is in seconds, and it is inversely proportional to frequency of wave, which is number of cycles of waves that occur in one second and is represented as Tb = sqrt((a*Hb)/([g]*(b-γb))) or Wave Period for Breaker Index = sqrt((Empirically determined Functions of Beach Slope A*Wave Height at Incipient Breaking)/([g]*(Empirically determined Functions of Beach Slope B-Breaker Depth Index))). Empirically determined Functions of Beach Slope A empirically establish correlations between the slope angle and wave dynamics, sediment transport, and coastal erosion rates, Wave Height at Incipient Breaking is defined as the point that wave height is maximum, Empirically determined Functions of Beach Slope B empirically establish correlations between the slope angle and wave dynamics, sediment transport, and coastal erosion rates & Breaker Depth Index is commonly used to define the wave height at breaking.
How to calculate Wave Period given Breaker Depth Index?
The Wave Period given Breaker Depth Index is defined as the time it takes to complete one cycle. Standard unit of wave period is in seconds, and it is inversely proportional to frequency of wave, which is number of cycles of waves that occur in one second is calculated using Wave Period for Breaker Index = sqrt((Empirically determined Functions of Beach Slope A*Wave Height at Incipient Breaking)/([g]*(Empirically determined Functions of Beach Slope B-Breaker Depth Index))). To calculate Wave Period given Breaker Depth Index, you need Empirically determined Functions of Beach Slope A (a), Wave Height at Incipient Breaking (Hb), Empirically determined Functions of Beach Slope B (b) & Breaker Depth Index b). With our tool, you need to enter the respective value for Empirically determined Functions of Beach Slope A, Wave Height at Incipient Breaking, Empirically determined Functions of Beach Slope B & Breaker Depth Index 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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