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

✖Height of Wave is the distance between the lowest and highest points of a person/ shape/ object standing upright.ⓘ Height of Wave [h_a]			+10% -10%
✖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.ⓘ Wind Velocity [V_w]			+10% -10%
✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [θ]			+10% -10%
✖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.ⓘ Water Depth [d]			+10% -10%

✖Fetch Length is the horizontal distance over which wave-generating winds blow.ⓘ Zuider Zee Formula for Fetch Length given Setup above Pool Level [F]

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

STEP 0: Pre-Calculation Summary

Formula Used

Fetch length = Height of Wave/(((Wind Velocity*Wind Velocity)*cos(Theta))/(1400*Water Depth))
F = h_a/(((V_w*V_w)*cos(θ))/(1400*d))
This formula uses 1 Functions, 5 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Fetch length - (Measured in Meter) - Fetch Length is the horizontal distance over which wave-generating winds blow.
Height of Wave - (Measured in Meter) - Height of Wave is the distance between the lowest and highest points of a person/ shape/ object standing upright.
Wind Velocity - (Measured in Meter per Second) - 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.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
Water Depth - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Height of Wave: 12.2 Meter --> 12.2 Meter No Conversion Required
Wind Velocity: 20 Meter per Second --> 20 Meter per Second No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Water Depth: 0.98 Meter --> 0.98 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F = h_a/(((V_w*V_w)*cos(θ))/(1400*d)) --> 12.2/(((20*20)*cos(0.5235987755982))/(1400*0.98))

Evaluating ... ...

F = 48.3195987290182

STEP 3: Convert Result to Output's Unit

48.3195987290182 Meter --> No Conversion Required

FINAL ANSWER

48.3195987290182 ≈ 48.3196 Meter <-- Fetch length

(Calculation completed in 00.004 seconds)

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< Zuider zee formula Calculators

Zuider Zee Formula for Fetch Length given Setup above Pool Level

LaTeX Go Fetch length = Height of Wave/(((Wind Velocity*Wind Velocity)*cos(Theta))/(1400*Water Depth))

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

LaTeX Go Water Depth = ((Wind Velocity*Wind Velocity)*Fetch length*cos(Theta))/(1400*Height of Wave)

Setup above Pool Level using Zuider Zee Formula

LaTeX Go Height of Wave = ((Wind Velocity*Wind Velocity)*Fetch length*cos(Theta))/(1400*Water Depth)

Angle of Incidence of Waves by Zuider Zee formula

LaTeX Go Theta = acos((Height of Dam*(1400*Water Depth))/((Wind Velocity for Freeboard^2)*Fetch length))

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

LaTeX Go

Fetch length = Height of Wave/(((Wind Velocity*Wind Velocity)*cos(Theta))/(1400*Water Depth))
F = h_a/(((V_w*V_w)*cos(θ))/(1400*d))

What is Freeboard?

Freeboard (sometimes termed net freeboard) is the vertical distance between the maximum water surface of the spillway design flood and the crown of the dam. This vertical distance should be ample to prevent overtopping of the dam due to wind setup and wave action.

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

Zuider Zee Formula for Fetch Length given Setup above Pool Level calculator uses Fetch length = Height of Wave/(((Wind Velocity*Wind Velocity)*cos(Theta))/(1400*Water Depth)) to calculate 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 calculate Zuider Zee Formula for Fetch Length given Setup above Pool Level using this online calculator? To use this online calculator 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. Here is how the Zuider Zee Formula for Fetch Length given Setup above Pool Level calculation can be explained with given input values -> 48.3196 = 12.2/(((20*20)*cos(0.5235987755982))/(1400*0.98)).

FAQ

What is Zuider Zee Formula for Fetch Length given Setup above Pool Level?

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 and is represented as F = h_a/(((V_w*V_w)*cos(θ))/(1400*d)) or Fetch length = Height of Wave/(((Wind Velocity*Wind Velocity)*cos(Theta))/(1400*Water Depth)). Height of Wave is the distance between the lowest and highest points of a person/ shape/ object standing upright, 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, Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint & 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.

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

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 is calculated using Fetch length = Height of Wave/(((Wind Velocity*Wind Velocity)*cos(Theta))/(1400*Water Depth)). To calculate Zuider Zee Formula for Fetch Length given Setup above Pool Level, you need Height of Wave (h_a), Wind Velocity (V_w), Theta (θ) & Water Depth (d). With our tool, you need to enter the respective value for Height of Wave, Wind Velocity, Theta & Water Depth and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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