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Breaker Depth Index given Wave Period Formula

GoBreaker Depth Index Formula

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Breaker Depth Index is the ratio of the wave height at breaking, to the water depth, at the breakpoint. Check FAQs

γ b = b - a \cdot (\frac{H b}{[g] \cdot {T b}^{2}})

γ_b - Breaker Depth Index?b - Functions of Beach Slope B?a - Functions of Beach Slope A?H_b - Wave Height at Incipient Breaking?T_b - Wave Period for Breaker Index?[g] - Gravitational acceleration on Earth?

Breaker Depth Index given Wave Period Example

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Here is how the Breaker Depth Index given Wave Period equation looks like with Values.

Here is how the Breaker Depth Index given Wave Period equation looks like with Units.

Here is how the Breaker Depth Index given Wave Period equation looks like.

0.3038 = 1.56 - 43.8 \cdot (\frac{18}{9.8066 \cdot 8^{2}})

0.3038 = 1.56 - 43.8 \cdot (\frac{18m}{9.8066m/s² \cdot {8s}^{2}})

0.3038 = 1.56 - 43.8 \cdot (\frac{18}{9.8066 \cdot 8^{2}})

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Breaker Depth Index given Wave Period Solution

Follow our step by step solution on how to calculate Breaker Depth Index given Wave Period?

FIRST Step Consider the formula

γ b = b - a \cdot (\frac{H b}{[g] \cdot {T b}^{2}})

Next Step Substitute values of Variables

∴

γ b = 1.56 - 43.8 \cdot (\frac{18m}{[g] \cdot {8s}^{2}})

Next Step Substitute values of Constants

∴

γ b = 1.56 - 43.8 \cdot (\frac{18m}{9.8066m/s² \cdot {8s}^{2}})

Next Step Prepare to Evaluate

∴

γ b = 1.56 - 43.8 \cdot (\frac{18}{9.8066 \cdot 8^{2}})

Next Step Evaluate

∴

γ b = 0.303837090137815

LAST Step Rounding Answer

∴

γ b = 0.3038

Breaker Depth Index given Wave Period Formula Elements

Variables

Constants

Breaker Depth Index

Breaker Depth Index is the ratio of the wave height at breaking, to the water depth, at the breakpoint.

Symbol: γ_b

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Breaker Depth Index

Functions of Beach Slope B

Functions of Beach Slope B is an empirically determined parameter that establishes correlations between the slope angle and wave dynamics, sediment transport, and coastal erosion rates.

Symbol: b

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Functions of Beach Slope B

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.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Functions of Beach Slope A

Wave Height at Incipient Breaking

Wave Height at Incipient Breaking refers to the height of the wave at the point where it starts breaking, often referred to as the breaker point.

Symbol: H_b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wave Height at Incipient Breaking

Wave Period for Breaker Index

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.

Symbol: T_b

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Wave Period for Breaker Index

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other Formulas to find Breaker Depth Index

Go Breaker Depth Index

γ b = \frac{H b}{d b}

Other formulas in Breaker Index category

Go Wave Height at Incipient Breaking given Breaker Depth Index

H b = γ b \cdot d b

Go Water Depth at Breaking given Breaker Depth Index

d b = (\frac{H b}{γ b})

Go Breaker Height Index

Ω b = \frac{H b}{λ o}

Go Wave Height at Incipient Breaking given Breaker Height Index

H b = Ω b \cdot λ o

How to Evaluate Breaker Depth Index given Wave Period?

Breaker Depth Index given Wave Period evaluator uses Breaker Depth Index = Functions of Beach Slope B-Functions of Beach Slope A*(Wave Height at Incipient Breaking/([g]*Wave Period for Breaker Index^2)) to evaluate the Breaker Depth Index, The Breaker Depth Index given Wave Period formula is defined as the ratio of the wave height at breaking, to the water depth at the breakpoint used to estimate the location on the shoreface where wave breaking occurs given wave period. Breaker Depth Index is denoted by γ_b symbol.

How to evaluate Breaker Depth Index given Wave Period using this online evaluator? To use this online evaluator for Breaker Depth Index given Wave Period, enter Functions of Beach Slope B (b), Functions of Beach Slope A (a), Wave Height at Incipient Breaking (H_b) & Wave Period for Breaker Index (T_b) and hit the calculate button.

FAQs on Breaker Depth Index given Wave Period

What is the formula to find Breaker Depth Index given Wave Period?

The formula of Breaker Depth Index given Wave Period is expressed as Breaker Depth Index = Functions of Beach Slope B-Functions of Beach Slope A*(Wave Height at Incipient Breaking/([g]*Wave Period for Breaker Index^2)). Here is an example- 0.32247 = 1.56-43.8*(18/([g]*8^2)).

How to calculate Breaker Depth Index given Wave Period?

With Functions of Beach Slope B (b), Functions of Beach Slope A (a), Wave Height at Incipient Breaking (H_b) & Wave Period for Breaker Index (T_b) we can find Breaker Depth Index given Wave Period using the formula - Breaker Depth Index = Functions of Beach Slope B-Functions of Beach Slope A*(Wave Height at Incipient Breaking/([g]*Wave Period for Breaker Index^2)). This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Breaker Depth Index?

Here are the different ways to Calculate Breaker Depth Index-

Breaker Depth Index=Wave Height at Incipient Breaking/Water Depth at Breaking

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Breaker Depth Index given Wave Period Formula

​GoBreaker Depth Index Formula

Breaker Depth Index given Wave Period Example

Breaker Depth Index given Wave Period Solution

Breaker Depth Index given Wave Period Formula Elements

Other Formulas to find Breaker Depth Index

Other formulas in Breaker Index category

How to Evaluate Breaker Depth Index given Wave Period?

FAQs on Breaker Depth Index given Wave Period

Variable Name

GoBreaker Depth Index Formula