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

✖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%
✖Fetch Length is the horizontal distance over which wave-generating winds blow.ⓘ Fetch length [F]			+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%
✖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%

✖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.ⓘ Zuider Zee formula for Average depth of Water given Setup above Pool level [d]

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

Formula

`"d" = (("V"_{"w"}*"V"_{"w"})*"F"*cos("θ"))/(1400*"h"_{"a"})`

Example

`"0.892392m"=(("20m/s"*"20m/s")*"44m"*cos("30°"))/(1400*"12.2m")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
Fetch length - (Measured in Meter) - Fetch Length is the horizontal distance over which wave-generating winds blow.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
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.

STEP 1: Convert Input(s) to Base Unit

Wind Velocity: 20 Meter per Second --> 20 Meter per Second No Conversion Required
Fetch length: 44 Meter --> 44 Meter No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Height of Wave: 12.2 Meter --> 12.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = ((V_w*V_w)*F*cos(θ))/(1400*h_a) --> ((20*20)*44*cos(0.5235987755982))/(1400*12.2)

Evaluating ... ...

d = 0.892391516780218

STEP 3: Convert Result to Output's Unit

0.892391516780218 Meter --> No Conversion Required

FINAL ANSWER

0.892391516780218 ≈ 0.892392 Meter <-- Water Depth

(Calculation completed in 00.020 seconds)

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< 6 Zuider zee formula Calculators

Zuider Zee Formula for Fetch Length given Setup above Pool Level

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

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

Setup above Pool Level using Zuider Zee Formula

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

Angle of Incidence of Waves by Zuider Zee formula

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

Height of Wave from Trough to Crest given Height of Wave Action by Zuider Zee Formula

Go Wave Height = Height of Wave/(0.75+1.5*(Wind Velocity^2)/(2*[g]))

Height of Wave Action using Zuider Zee Formula

Go Height of Wave = Wave Height*(0.75+1.5*(Wind Velocity^2)/(2*[g]))

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

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

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 Average depth of Water given Setup above Pool level?

Zuider Zee formula for Average depth of Water given Setup above Pool level calculator uses Water Depth = ((Wind Velocity*Wind Velocity)*Fetch length*cos(Theta))/(1400*Height of Wave) to calculate the Water Depth, The Zuider Zee formula for Average depth of Water given Setup above Pool level formula is defined as the height of water underneath. Water Depth is denoted by d symbol.

How to calculate Zuider Zee formula for Average depth of Water given Setup above Pool level using this online calculator? To use this online calculator for Zuider Zee formula for Average depth of Water given Setup above Pool level, enter Wind Velocity (V_w), Fetch length (F), Theta (θ) & Height of Wave (h_a) and hit the calculate button. Here is how the Zuider Zee formula for Average depth of Water given Setup above Pool level calculation can be explained with given input values -> 0.892392 = ((20*20)*44*cos(0.5235987755982))/(1400*12.2).

FAQ

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

The Zuider Zee formula for Average depth of Water given Setup above Pool level formula is defined as the height of water underneath and is represented as d = ((V_w*V_w)*F*cos(θ))/(1400*h_a) or Water Depth = ((Wind Velocity*Wind Velocity)*Fetch length*cos(Theta))/(1400*Height of Wave). 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, Fetch Length is the horizontal distance over which wave-generating winds blow, Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint & Height of Wave is the distance between the lowest and highest points of a person/ shape/ object standing upright.

How to calculate Zuider Zee formula for Average depth of Water given Setup above Pool level?

The Zuider Zee formula for Average depth of Water given Setup above Pool level formula is defined as the height of water underneath is calculated using Water Depth = ((Wind Velocity*Wind Velocity)*Fetch length*cos(Theta))/(1400*Height of Wave). To calculate Zuider Zee formula for Average depth of Water given Setup above Pool level, you need Wind Velocity (V_w), Fetch length (F), Theta (θ) & Height of Wave (h_a). With our tool, you need to enter the respective value for Wind Velocity, Fetch length, Theta & Height of Wave 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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