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Longshore Current at Mid-Surf Zone Formula

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

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

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

Longshore Current at Mid-Surf Zone Example

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Here is how the Longshore Current at Mid-Surf Zone equation looks like with Values.

Here is how the Longshore Current at Mid-Surf Zone equation looks like with Units.

Here is how the Longshore Current at Mid-Surf Zone equation looks like.

1.098 = 1.17 \cdot \sqrt{9.8066 \cdot 0.479} \cdot \sin (60) \cdot \cos (60)

1.098m/s = 1.17 \cdot \sqrt{9.8066m/s² \cdot 0.479m} \cdot \sin (60°) \cdot \cos (60°)

1.098 = 1.17 \cdot \sqrt{9.8066 \cdot 0.479} \cdot \sin (60) \cdot \cos (60)

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Longshore Current at Mid-Surf Zone Solution

Follow our step by step solution on how to calculate Longshore Current at Mid-Surf Zone?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V mid = 1.17 \cdot \sqrt{[g] \cdot 0.479m} \cdot \sin (60°) \cdot \cos (60°)

Next Step Substitute values of Constants

∴

V mid = 1.17 \cdot \sqrt{9.8066m/s² \cdot 0.479m} \cdot \sin (60°) \cdot \cos (60°)

Next Step Convert Units

∴

V mid = 1.17 \cdot \sqrt{9.8066m/s² \cdot 0.479m} \cdot \sin (1.0472rad) \cdot \cos (1.0472rad)

Next Step Prepare to Evaluate

∴

V mid = 1.17 \cdot \sqrt{9.8066 \cdot 0.479} \cdot \sin (1.0472) \cdot \cos (1.0472)

Next Step Evaluate

∴

V mid = 1.09803097681867m/s

LAST Step Rounding Answer

∴

V mid = 1.098m/s

Longshore Current at Mid-Surf Zone Formula Elements

Variables

Constants

Functions

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

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

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)

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 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 Longshore Current at Mid-Surf Zone?

Longshore Current at Mid-Surf Zone evaluator uses Longshore Current at the Mid-Surf Zone = 1.17*sqrt([g]*Root Mean Square Wave Height)*sin(Wave Crest Angle)*cos(Wave Crest Angle) to evaluate the Longshore Current at the Mid-Surf Zone, The Longshore Current at Mid-Surf Zone formula is defined as the ocean current that moves parallel to shore caused by large swells sweeping into the shoreline at an angle and pushing water down the length of the beach in one direction. Longshore Current at the Mid-Surf Zone is denoted by V_mid symbol.

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

FAQs on Longshore Current at Mid-Surf Zone

What is the formula to find Longshore Current at Mid-Surf Zone?

The formula of Longshore Current at Mid-Surf Zone is expressed as Longshore Current at the Mid-Surf Zone = 1.17*sqrt([g]*Root Mean Square Wave Height)*sin(Wave Crest Angle)*cos(Wave Crest Angle). Here is an example- 1.098031 = 1.17*sqrt([g]*0.479)*sin(1.0471975511964)*cos(1.0471975511964).

How to calculate Longshore Current at Mid-Surf Zone?

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

Can the Longshore Current at Mid-Surf Zone be negative?

No, the Longshore Current at Mid-Surf Zone, measured in Speed cannot be negative.

Which unit is used to measure Longshore Current at Mid-Surf Zone?

Longshore Current at Mid-Surf Zone is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Longshore Current at Mid-Surf Zone can be measured.

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Longshore Current at Mid-Surf Zone Formula

Longshore Current at Mid-Surf Zone Example

Longshore Current at Mid-Surf Zone Solution

Longshore Current at Mid-Surf Zone Formula Elements

Other formulas in Longshore Current category

How to Evaluate Longshore Current at Mid-Surf Zone?

FAQs on Longshore Current at Mid-Surf Zone

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