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Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone Formula

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Root Mean Square Wave Height is a parameter influencing the Breaker Height Index that is commonly used to define the wave height at breaking in the saturated zones. Check FAQs

H rms = \frac{{(\frac{V mid}{1.17 \cdot \sin (α) \cdot \cos (α)})}^{0.5}}{[g]}

H_rms - Root Mean Square Wave Height?V_mid - Longshore Current at the Mid-Surf Zone?α - Wave Crest Angle?[g] - Gravitational acceleration on Earth?

Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone Example

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Here is how the Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone equation looks like with Values.

Here is how the Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone equation looks like with Units.

Here is how the Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone equation looks like.

0.1496 = \frac{{(\frac{1.09}{1.17 \cdot \sin (60) \cdot \cos (60)})}^{0.5}}{9.8066}

0.1496m = \frac{{(\frac{1.09m/s}{1.17 \cdot \sin (60°) \cdot \cos (60°)})}^{0.5}}{9.8066m/s²}

0.1496 = \frac{{(\frac{1.09}{1.17 \cdot \sin (60) \cdot \cos (60)})}^{0.5}}{9.8066}

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Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone Solution

Follow our step by step solution on how to calculate Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone?

FIRST Step Consider the formula

H rms = \frac{{(\frac{V mid}{1.17 \cdot \sin (α) \cdot \cos (α)})}^{0.5}}{[g]}

Next Step Substitute values of Variables

∴

H rms = \frac{{(\frac{1.09m/s}{1.17 \cdot \sin (60°) \cdot \cos (60°)})}^{0.5}}{[g]}

Next Step Substitute values of Constants

∴

H rms = \frac{{(\frac{1.09m/s}{1.17 \cdot \sin (60°) \cdot \cos (60°)})}^{0.5}}{9.8066m/s²}

Next Step Convert Units

∴

H rms = \frac{{(\frac{1.09m/s}{1.17 \cdot \sin (1.0472rad) \cdot \cos (1.0472rad)})}^{0.5}}{9.8066m/s²}

Next Step Prepare to Evaluate

∴

H rms = \frac{{(\frac{1.09}{1.17 \cdot \sin (1.0472) \cdot \cos (1.0472)})}^{0.5}}{9.8066}

Next Step Evaluate

∴

H rms = 0.149571663742143m

LAST Step Rounding Answer

∴

H rms = 0.1496m

Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone Formula Elements

Variables

Constants

Functions

Root Mean Square Wave Height

Root Mean Square Wave Height is a parameter influencing the Breaker Height Index that is commonly used to define the wave height at breaking in the saturated zones.

Symbol: H_rms

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Root Mean Square Wave Height

Longshore Current at the Mid-Surf Zone

Longshore Current at the Mid-Surf Zone is the current generated when a train of waves reaches the coastline and releases bursts of energy.

Symbol: V_mid

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Longshore Current at the Mid-Surf Zone

Wave Crest Angle

Wave Crest Angle is the angle at which the crest of a wave approaches or intersects with another medium, such as the shoreline or another wave.

Symbol: α

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Wave Crest Angle

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Longshore Current category

Go Radiation Stress Component

S xy = (\frac{n}{8}) \cdot ρ \cdot [g] \cdot (H^{2}) \cdot \cos (α) \cdot \sin (α)

Go Ratio of Wave Group Speed and Phase Speed

n = \frac{S xy \cdot 8}{ρ \cdot [g] \cdot H^{2} \cdot \cos (α) \cdot \sin (α)}

Go Wave Height given Radiation Stress Component

H = \sqrt{\frac{S xy \cdot 8}{ρ} \cdot [g] \cdot \cos (α) \cdot \sin (α)}

Go Longshore Current Speed

V = (5 \cdot \frac{π}{16}) \cdot \tan (β *) \cdot γ b \cdot \sqrt{[g] \cdot D} \cdot \sin (α) \cdot \frac{\cos (α)}{C f}

How to Evaluate Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone?

Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone evaluator uses Root Mean Square Wave Height = ((Longshore Current at the Mid-Surf Zone/(1.17*sin(Wave Crest Angle)*cos(Wave Crest Angle)))^0.5)/[g] to evaluate the Root Mean Square Wave Height, The Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone formula is defined as a measure to estimate the average wave height at the point of breaking, given the speed of the longshore current in the mid-surf zone. Root Mean Square Wave Height is denoted by H_rms symbol.

How to evaluate Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone using this online evaluator? To use this online evaluator for Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone, enter Longshore Current at the Mid-Surf Zone (V_mid) & Wave Crest Angle (α) and hit the calculate button.

FAQs on Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone

What is the formula to find Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone?

The formula of Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone is expressed as Root Mean Square Wave Height = ((Longshore Current at the Mid-Surf Zone/(1.17*sin(Wave Crest Angle)*cos(Wave Crest Angle)))^0.5)/[g]. Here is an example- 0.479666 = ((1.09/(1.17*sin(1.0471975511964)*cos(1.0471975511964)))^0.5)/[g].

How to calculate Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone?

With Longshore Current at the Mid-Surf Zone (V_mid) & Wave Crest Angle (α) we can find Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone using the formula - Root Mean Square Wave Height = ((Longshore Current at the Mid-Surf Zone/(1.17*sin(Wave Crest Angle)*cos(Wave Crest Angle)))^0.5)/[g]. This formula also uses Gravitational acceleration on Earth constant(s) and , Sine, Cosine function(s).

Can the Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone be negative?

No, the Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone, measured in Length cannot be negative.

Which unit is used to measure Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone?

Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone can be measured.

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Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone Formula

Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone Example

Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone Solution

Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone Formula Elements

Other formulas in Longshore Current category

How to Evaluate Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone?

FAQs on Root Mean Square Wave Height at Breaking given Longshore Current at Mid-Surf Zone

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