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Wave Height at Incipient Breaking using Beach Slope Formula

GoWave Height at Incipient Breaking given Breaker Depth Index Formula

GoWave Height at Incipient Breaking given Breaker Height Index Formula

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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. Check FAQs

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

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

Wave Height at Incipient Breaking using Beach Slope Example

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Here is how the Wave Height at Incipient Breaking using Beach Slope equation looks like with Values.

Here is how the Wave Height at Incipient Breaking using Beach Slope equation looks like with Units.

Here is how the Wave Height at Incipient Breaking using Beach Slope equation looks like.

17.7684 = 9.8066 \cdot 8^{2} \cdot \frac{1.56 - 0.32}{43.8}

17.7684m = 9.8066m/s² \cdot {8s}^{2} \cdot \frac{1.56 - 0.32}{43.8}

17.7684 = 9.8066 \cdot 8^{2} \cdot \frac{1.56 - 0.32}{43.8}

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Wave Height at Incipient Breaking using Beach Slope Solution

Follow our step by step solution on how to calculate Wave Height at Incipient Breaking using Beach Slope?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

H b = [g] \cdot {8s}^{2} \cdot \frac{1.56 - 0.32}{43.8}

Next Step Substitute values of Constants

∴

H b = 9.8066m/s² \cdot {8s}^{2} \cdot \frac{1.56 - 0.32}{43.8}

Next Step Prepare to Evaluate

∴

H b = 9.8066 \cdot 8^{2} \cdot \frac{1.56 - 0.32}{43.8}

Next Step Evaluate

∴

H b = 17.7683959817352m

LAST Step Rounding Answer

∴

H b = 17.7684m

Wave Height at Incipient Breaking using Beach Slope Formula Elements

Variables

Constants

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

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

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 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

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 Wave Height at Incipient Breaking

Go Wave Height at Incipient Breaking given Breaker Depth Index

H b = γ b \cdot d b

Go Wave Height at Incipient Breaking given Breaker Height Index

H b = Ω b \cdot λ o

Other formulas in Breaker Index category

Go Breaker Depth Index

γ b = \frac{H b}{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 Deepwater Wave Height given Breaker Height Index

λ o = \frac{H b}{Ω b}

How to Evaluate Wave Height at Incipient Breaking using Beach Slope?

Wave Height at Incipient Breaking using Beach Slope evaluator uses Wave Height at Incipient Breaking = [g]*Wave Period for Breaker Index^2*(Functions of Beach Slope B-Breaker Depth Index)/Functions of Beach Slope A to evaluate the Wave Height at Incipient Breaking, The Wave Height at Incipient Breaking using Beach Slope formula is defined as the maximum wave height before waves start to break due to the beach slope. Wave Height at Incipient Breaking is denoted by H_b symbol.

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

FAQs on Wave Height at Incipient Breaking using Beach Slope

What is the formula to find Wave Height at Incipient Breaking using Beach Slope?

The formula of Wave Height at Incipient Breaking using Beach Slope is expressed as Wave Height at Incipient Breaking = [g]*Wave Period for Breaker Index^2*(Functions of Beach Slope B-Breaker Depth Index)/Functions of Beach Slope A. Here is an example- 18.03592 = [g]*8^2*(1.56-0.32)/43.8.

How to calculate Wave Height at Incipient Breaking using Beach Slope?

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

What are the other ways to Calculate Wave Height at Incipient Breaking?

Here are the different ways to Calculate Wave Height at Incipient Breaking-

Wave Height at Incipient Breaking=Breaker Depth Index*Water Depth at Breaking
Wave Height at Incipient Breaking=Breaker Height Index*Deep-Water Wavelength

Can the Wave Height at Incipient Breaking using Beach Slope be negative?

No, the Wave Height at Incipient Breaking using Beach Slope, measured in Length cannot be negative.

Which unit is used to measure Wave Height at Incipient Breaking using Beach Slope?

Wave Height at Incipient Breaking using Beach Slope is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Wave Height at Incipient Breaking using Beach Slope can be measured.

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Wave Height at Incipient Breaking using Beach Slope Formula

​GoWave Height at Incipient Breaking given Breaker Depth Index Formula

​GoWave Height at Incipient Breaking given Breaker Height Index Formula

Wave Height at Incipient Breaking using Beach Slope Example

Wave Height at Incipient Breaking using Beach Slope Solution

Wave Height at Incipient Breaking using Beach Slope Formula Elements

Other Formulas to find Wave Height at Incipient Breaking

Other formulas in Breaker Index category

How to Evaluate Wave Height at Incipient Breaking using Beach Slope?

FAQs on Wave Height at Incipient Breaking using Beach Slope

Variable Name

GoWave Height at Incipient Breaking given Breaker Depth Index Formula

GoWave Height at Incipient Breaking given Breaker Height Index Formula