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Zuider Zee Formula for Fetch Length given Setup above Pool Level Formula

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Fetch Length is the horizontal distance over which wave-generating winds blow. Check FAQs

F = \frac{h a}{\frac{(V w \cdot V w) \cdot \cos (θ)}{1400 \cdot d}}

F - Fetch length?h_a - Height of Wave?V_w - Wind Velocity?θ - Theta?d - Water Depth?

Zuider Zee Formula for Fetch Length given Setup above Pool Level Example

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Here is how the Zuider Zee Formula for Fetch Length given Setup above Pool Level equation looks like with Values.

Here is how the Zuider Zee Formula for Fetch Length given Setup above Pool Level equation looks like with Units.

Here is how the Zuider Zee Formula for Fetch Length given Setup above Pool Level equation looks like.

48.3196 = \frac{12.2}{\frac{(20 \cdot 20) \cdot \cos (30)}{1400 \cdot 0.98}}

48.3196m = \frac{12.2m}{\frac{(20m/s \cdot 20m/s) \cdot \cos (30°)}{1400 \cdot 0.98m}}

48.3196 = \frac{12.2}{\frac{(20 \cdot 20) \cdot \cos (30)}{1400 \cdot 0.98}}

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Zuider Zee Formula for Fetch Length given Setup above Pool Level Solution

Follow our step by step solution on how to calculate Zuider Zee Formula for Fetch Length given Setup above Pool Level?

FIRST Step Consider the formula

F = \frac{h a}{\frac{(V w \cdot V w) \cdot \cos (θ)}{1400 \cdot d}}

Next Step Substitute values of Variables

∴

F = \frac{12.2m}{\frac{(20m/s \cdot 20m/s) \cdot \cos (30°)}{1400 \cdot 0.98m}}

Next Step Convert Units

∴

F = \frac{12.2m}{\frac{(20m/s \cdot 20m/s) \cdot \cos (0.5236rad)}{1400 \cdot 0.98m}}

Next Step Prepare to Evaluate

∴

F = \frac{12.2}{\frac{(20 \cdot 20) \cdot \cos (0.5236)}{1400 \cdot 0.98}}

Next Step Evaluate

∴

F = 48.3195987290182m

LAST Step Rounding Answer

∴

F = 48.3196m

Zuider Zee Formula for Fetch Length given Setup above Pool Level Formula Elements

Variables

Functions

Fetch length

Fetch Length is the horizontal distance over which wave-generating winds blow.

Symbol: F

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Fetch length

Height of Wave

Height of Wave is the distance between the lowest and highest points of a person/ shape/ object standing upright.

Symbol: h_a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Wave

Wind Velocity

Wind Velocity is an air moving from high to low pressure, usually due to changes in temperature that is the horizontal movement of air specified by its speed and direction.

Symbol: V_w

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Wind Velocity

Theta

Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Theta

Water Depth

Water Depth of the considered catchment. Water depth means the depth as measured from the water level to the bottom of the considered water body.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Water Depth

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 Zuider zee formula category

Go Setup above Pool Level using Zuider Zee Formula

h a = \frac{(V w \cdot V w) \cdot F \cdot \cos (θ)}{1400 \cdot d}

Go Zuider Zee formula for Average depth of Water given Setup above Pool level

d = \frac{(V w \cdot V w) \cdot F \cdot \cos (θ)}{1400 \cdot h a}

Go Angle of Incidence of Waves by Zuider Zee formula

θ = a \cos (\frac{h \cdot (1400 \cdot d)}{(V^{2}) \cdot F})

Go Height of Wave Action using Zuider Zee Formula

h a = H \cdot (0.75 + 1.5 \cdot \frac{{V w}^{2}}{2 \cdot [g]})

How to Evaluate Zuider Zee Formula for Fetch Length given Setup above Pool Level?

Zuider Zee Formula for Fetch Length given Setup above Pool Level evaluator uses Fetch length = Height of Wave/(((Wind Velocity*Wind Velocity)*cos(Theta))/(1400*Water Depth)) to evaluate the Fetch length, The Zuider Zee Formula for Fetch Length given Setup above Pool Level formula is used to calculate the fetch length of wave in nautical miles. Fetch length is denoted by F symbol.

How to evaluate Zuider Zee Formula for Fetch Length given Setup above Pool Level using this online evaluator? To use this online evaluator for Zuider Zee Formula for Fetch Length given Setup above Pool Level, enter Height of Wave (h_a), Wind Velocity (V_w), Theta (θ) & Water Depth (d) and hit the calculate button.

FAQs on Zuider Zee Formula for Fetch Length given Setup above Pool Level

What is the formula to find Zuider Zee Formula for Fetch Length given Setup above Pool Level?

The formula of Zuider Zee Formula for Fetch Length given Setup above Pool Level is expressed as Fetch length = Height of Wave/(((Wind Velocity*Wind Velocity)*cos(Theta))/(1400*Water Depth)). Here is an example- 48.3196 = 12.2/(((20*20)*cos(0.5235987755982))/(1400*0.98)).

How to calculate Zuider Zee Formula for Fetch Length given Setup above Pool Level?

With Height of Wave (h_a), Wind Velocity (V_w), Theta (θ) & Water Depth (d) we can find Zuider Zee Formula for Fetch Length given Setup above Pool Level using the formula - Fetch length = Height of Wave/(((Wind Velocity*Wind Velocity)*cos(Theta))/(1400*Water Depth)). This formula also uses Cosine function(s).

Can the Zuider Zee Formula for Fetch Length given Setup above Pool Level be negative?

Yes, the Zuider Zee Formula for Fetch Length given Setup above Pool Level, measured in Length can be negative.

Which unit is used to measure Zuider Zee Formula for Fetch Length given Setup above Pool Level?

Zuider Zee Formula for Fetch Length given Setup above Pool Level is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Zuider Zee Formula for Fetch Length given Setup above Pool Level can be measured.

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Zuider Zee Formula for Fetch Length given Setup above Pool Level Formula

Zuider Zee Formula for Fetch Length given Setup above Pool Level Example

Zuider Zee Formula for Fetch Length given Setup above Pool Level Solution

Zuider Zee Formula for Fetch Length given Setup above Pool Level Formula Elements

Other formulas in Zuider zee formula category

How to Evaluate Zuider Zee Formula for Fetch Length given Setup above Pool Level?

FAQs on Zuider Zee Formula for Fetch Length given Setup above Pool Level

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