Angle of Incidence of Waves by Zuider Zee formula Calculator

✖Height of Dam is the distance between the lowest and highest points of a person/ shape/ object standing upright.ⓘ Height of Dam [h]			+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%
✖Wind velocity for freeboard is the velocity of wind acting on the dam or any similar structures.ⓘ Wind Velocity for Freeboard [V]			+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.ⓘ Angle of Incidence of Waves by Zuider Zee formula [θ]

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Formula

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Angle of Incidence of Waves by Zuider Zee formula

Formula

`"θ" = acos(("h"*(1400*"d"))/(("V"^2)*"F"))`

Example

`"69.30904°"=acos(("15.6m"*(1400*"0.98m"))/((("83mi/h")^2)*"44m"))`

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Angle of Incidence of Waves by Zuider Zee formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Theta = acos((Height of Dam*(1400*Water Depth))/((Wind Velocity for Freeboard^2)*Fetch length))
θ = acos((h*(1400*d))/((V^2)*F))
This formula uses 2 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)
acos - The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., acos(Number)

Variables Used

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 Dam - (Measured in Meter) - Height of Dam is the distance between the lowest and highest points of a person/ shape/ object standing upright.
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 for Freeboard - (Measured in Meter per Second) - Wind velocity for freeboard is the velocity of wind acting on the dam or any similar structures.
Fetch length - (Measured in Meter) - Fetch Length is the horizontal distance over which wave-generating winds blow.

STEP 1: Convert Input(s) to Base Unit

Height of Dam: 15.6 Meter --> 15.6 Meter No Conversion Required
Water Depth: 0.98 Meter --> 0.98 Meter No Conversion Required
Wind Velocity for Freeboard: 83 Mile per Hour --> 37.10432 Meter per Second (Check conversion here)
Fetch length: 44 Meter --> 44 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = acos((h*(1400*d))/((V^2)*F)) --> acos((15.6*(1400*0.98))/((37.10432^2)*44))

Evaluating ... ...

θ = 1.20967099294267

STEP 3: Convert Result to Output's Unit

1.20967099294267 Radian -->69.3090424950274 Degree (Check conversion here)

FINAL ANSWER

69.3090424950274 ≈ 69.30904 Degree <-- Theta

(Calculation completed in 00.005 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]))

Angle of Incidence of Waves by Zuider Zee formula Formula

Theta = acos((Height of Dam*(1400*Water Depth))/((Wind Velocity for Freeboard^2)*Fetch length))
θ = acos((h*(1400*d))/((V^2)*F))

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 Angle of Incidence of Waves by Zuider Zee formula?

Angle of Incidence of Waves by Zuider Zee formula calculator uses Theta = acos((Height of Dam*(1400*Water Depth))/((Wind Velocity for Freeboard^2)*Fetch length)) to calculate the Theta, Angle of Incidence of Waves by Zuider Zee formula is defined as the angle formed with wave pool. Theta is denoted by θ symbol.

How to calculate Angle of Incidence of Waves by Zuider Zee formula using this online calculator? To use this online calculator for Angle of Incidence of Waves by Zuider Zee formula, enter Height of Dam (h), Water Depth (d), Wind Velocity for Freeboard (V) & Fetch length (F) and hit the calculate button. Here is how the Angle of Incidence of Waves by Zuider Zee formula calculation can be explained with given input values -> 4245.29 = acos((15.6*(1400*0.98))/((37.10432^2)*44)).

FAQ

What is Angle of Incidence of Waves by Zuider Zee formula?

Angle of Incidence of Waves by Zuider Zee formula is defined as the angle formed with wave pool and is represented as θ = acos((h*(1400*d))/((V^2)*F)) or Theta = acos((Height of Dam*(1400*Water Depth))/((Wind Velocity for Freeboard^2)*Fetch length)). Height of Dam is the distance between the lowest and highest points of a person/ shape/ object standing upright, 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 for freeboard is the velocity of wind acting on the dam or any similar structures & Fetch Length is the horizontal distance over which wave-generating winds blow.

How to calculate Angle of Incidence of Waves by Zuider Zee formula?

Angle of Incidence of Waves by Zuider Zee formula is defined as the angle formed with wave pool is calculated using Theta = acos((Height of Dam*(1400*Water Depth))/((Wind Velocity for Freeboard^2)*Fetch length)). To calculate Angle of Incidence of Waves by Zuider Zee formula, you need Height of Dam (h), Water Depth (d), Wind Velocity for Freeboard (V) & Fetch length (F). With our tool, you need to enter the respective value for Height of Dam, Water Depth, Wind Velocity for Freeboard & Fetch length 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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