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Wave Period given Breaker Depth Index Formula

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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. Check FAQs

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

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

Wave Period given Breaker Depth Index Example

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

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

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

8.052 = \sqrt{\frac{43.8 \cdot 18}{9.8066 \cdot (1.56 - 0.32)}}

8.052s = \sqrt{\frac{43.8 \cdot 18m}{9.8066m/s² \cdot (1.56 - 0.32)}}

8.052 = \sqrt{\frac{43.8 \cdot 18}{9.8066 \cdot (1.56 - 0.32)}}

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Wave Period given Breaker Depth Index Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T b = \sqrt{\frac{43.8 \cdot 18m}{[g] \cdot (1.56 - 0.32)}}

Next Step Substitute values of Constants

∴

T b = \sqrt{\frac{43.8 \cdot 18m}{9.8066m/s² \cdot (1.56 - 0.32)}}

Next Step Prepare to Evaluate

∴

T b = \sqrt{\frac{43.8 \cdot 18}{9.8066 \cdot (1.56 - 0.32)}}

Next Step Evaluate

∴

T b = 8.05196961634633s

LAST Step Rounding Answer

∴

T b = 8.052s

Wave Period given Breaker Depth Index Formula Elements

Variables

Constants

Functions

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 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

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

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

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.

Syntax: sqrt(Number)

Other formulas in Breaker Index category

Go Breaker Depth Index

γ b = \frac{H b}{d b}

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}

How to Evaluate Wave Period given Breaker Depth Index?

Wave Period given Breaker Depth Index evaluator uses Wave Period for Breaker Index = sqrt((Functions of Beach Slope A*Wave Height at Incipient Breaking)/([g]*(Functions of Beach Slope B-Breaker Depth Index))) to evaluate the Wave Period for Breaker Index, The Wave Period given Breaker Depth Index formula 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 the frequency of a wave, which is the number of cycles of waves that occur in one second. Wave Period for Breaker Index is denoted by T_b symbol.

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

FAQs on Wave Period given Breaker Depth Index

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

The formula of Wave Period given Breaker Depth Index is expressed as Wave Period for Breaker Index = sqrt((Functions of Beach Slope A*Wave Height at Incipient Breaking)/([g]*(Functions of Beach Slope B-Breaker Depth Index))). Here is an example- 8.05197 = sqrt((43.8*18)/([g]*(1.56-0.32))).

How to calculate Wave Period given Breaker Depth Index?

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

Can the Wave Period given Breaker Depth Index be negative?

No, the Wave Period given Breaker Depth Index, measured in Time cannot be negative.

Which unit is used to measure Wave Period given Breaker Depth Index?

Wave Period given Breaker Depth Index is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Wave Period given Breaker Depth Index can be measured.

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Wave Period given Breaker Depth Index Formula

Wave Period given Breaker Depth Index Example

Wave Period given Breaker Depth Index Solution

Wave Period given Breaker Depth Index Formula Elements

Other formulas in Breaker Index category

How to Evaluate Wave Period given Breaker Depth Index?

FAQs on Wave Period given Breaker Depth Index

Variable Name