Incident Wave Height given Water Surface Amplitude Solution

STEP 0: Pre-Calculation Summary
Formula Used
Incident Wave Height = Water Surface Amplitude/(cos(2*pi*Horizontal Ordinate/Incident Wave Length in Deepwater)*cos(2*pi*Time Elapsed/Reflected Wave Period))
Hi = N/(cos(2*pi*x/Lo)*cos(2*pi*t/T))
This formula uses 1 Constants, 1 Functions, 6 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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
Incident Wave Height - (Measured in Meter) - Incident Wave Height is obtained as the arithmetic mean of the wave heights measured by two gauges separated a quarter of a wave length [length].
Water Surface Amplitude - (Measured in Meter) - Water Surface Amplitude [length] is dependent on the incidental wave height.
Horizontal Ordinate - Horizontal Ordinate influencing the Water Surface Amplitude.
Incident Wave Length in Deepwater - (Measured in Meter) - Incident Wave Length in Deepwater [length] is the wave length of the wave that travels from the generating source towards the load.
Time Elapsed - (Measured in Second) - Time elapsed after a particular task is started.
Reflected Wave Period - Reflected Wave Period influencing the Water Surface Amplitude.
STEP 1: Convert Input(s) to Base Unit
Water Surface Amplitude: 113 Meter --> 113 Meter No Conversion Required
Horizontal Ordinate: 38.5 --> No Conversion Required
Incident Wave Length in Deepwater: 16 Meter --> 16 Meter No Conversion Required
Time Elapsed: 12 Second --> 12 Second No Conversion Required
Reflected Wave Period: 34.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Hi = N/(cos(2*pi*x/Lo)*cos(2*pi*t/T)) --> 113/(cos(2*pi*38.5/16)*cos(2*pi*12/34.2))
Evaluating ... ...
Hi = 229.476283007083
STEP 3: Convert Result to Output's Unit
229.476283007083 Meter --> No Conversion Required
FINAL ANSWER
229.476283007083 229.4763 Meter <-- Incident Wave Height
(Calculation completed in 00.020 seconds)

Credits

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Coorg Institute of Technology (CIT), Coorg
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16 Wave Transmission Coefficient and Water Surface Amplitude Calculators

Reflected Wave Period given Water Surface Amplitude
Go Reflected Wave Period = (2*pi*Time Elapsed)/acos(Water Surface Amplitude/Incident Wave Height*cos(2*pi*Horizontal Ordinate/Incident Wave Length in Deepwater))
Incident Wave Length given Water Surface Amplitude
Go Incident Wave Length in Deepwater = (2*pi*Horizontal Ordinate)/acos(Water Surface Amplitude/Incident Wave Height*cos(2*pi*Time Elapsed/Reflected Wave Period))
Time Elapsed given Water Surface Amplitude
Go Time Elapsed = Reflected Wave Period*acos(Water Surface Amplitude/Incident Wave Height*cos(2*pi*Horizontal Ordinate/Incident Wave Length in Deepwater))/(2*pi)
Incident Wave Height given Water Surface Amplitude
Go Incident Wave Height = Water Surface Amplitude/(cos(2*pi*Horizontal Ordinate/Incident Wave Length in Deepwater)*cos(2*pi*Time Elapsed/Reflected Wave Period))
Horizontal Ordinate given Water Surface Amplitude
Go Horizontal Ordinate = Incident Wave Length in Deepwater*acos(Water Surface Amplitude/Incident Wave Height*cos(2*pi*Time Elapsed/Reflected Wave Period))/2*pi
Water Surface Amplitude
Go Water Surface Amplitude = Incident Wave Height*cos(2*pi*Horizontal Ordinate/Incident Wave Length in Deepwater)*cos(2*pi*Time Elapsed/Reflected Wave Period)
Surf Similarity Number or Iribarren Number
Go Surf Similarity Number or Iribarren Number = tan(Angle Sloped plane forms with the horizontal)/sqrt(Incident Wave Height/Incident Wave Length in Deepwater)
Incident Wave Height given Surf Similarity Number or Iribarren Number
Go Incident Wave Height = Incident Wave Length in Deepwater*(tan(Angle Sloped plane forms with the horizontal)/Surf Similarity Number or Iribarren Number)^2
Coefficient for Wave Transmission through Structure given Combined Transmission Coefficient
Go Coefficient of Wave Transmission through Structure = sqrt(Wave Transmission Coefficient^2-Coefficient of Transmission Flow Over Structure^2)
Coefficient for Wave Transmission by Flow over Structure
Go Coefficient of Transmission Flow Over Structure = sqrt(Wave Transmission Coefficient^2-Coefficient of Wave Transmission through Structure^2)
Combined Wave Transmission Coefficient
Go Wave Transmission Coefficient = sqrt(Coefficient of Wave Transmission through Structure^2+Coefficient of Transmission Flow Over Structure^2)
Dimensionless coefficient in Seelig equation for Wave Transmission Coefficient
Go Dimensionless Coefficient in the Seelig equation = Wave Transmission Coefficient/(1-(Freeboard/Wave Runup))
Wave Runup above Mean Water Level for given Wave Transmission Coefficient
Go Wave Runup = Freeboard/(1-(Wave Transmission Coefficient/Dimensionless Coefficient in the Seelig equation))
Freeboard for given Wave Transmission Coefficient
Go Freeboard = Wave Runup*(1-(Wave Transmission Coefficient/Dimensionless Coefficient in the Seelig equation))
Wave Transmission Coefficient
Go Wave Transmission Coefficient = Dimensionless Coefficient in the Seelig equation*(1-(Freeboard/Wave Runup))
Dimensionless Coefficient in Seelig equation in Wave Transmission Coefficient
Go Dimensionless Coefficient in the Seelig equation = 0.51-(0.11*Structure Crest Width/Structure Crest Elevation)

Incident Wave Height given Water Surface Amplitude Formula

Incident Wave Height = Water Surface Amplitude/(cos(2*pi*Horizontal Ordinate/Incident Wave Length in Deepwater)*cos(2*pi*Time Elapsed/Reflected Wave Period))
Hi = N/(cos(2*pi*x/Lo)*cos(2*pi*t/T))

What causes most Surface Waves?

Waves are most commonly caused by wind. Wind-driven waves, or surface waves, are created by the friction between wind and surface water. As wind blows across the surface of the ocean or a lake, the continual disturbance creates a wave crest. The gravitational pull of the sun and moon on the earth also causes waves

How to Calculate Incident Wave Height given Water Surface Amplitude?

Incident Wave Height given Water Surface Amplitude calculator uses Incident Wave Height = Water Surface Amplitude/(cos(2*pi*Horizontal Ordinate/Incident Wave Length in Deepwater)*cos(2*pi*Time Elapsed/Reflected Wave Period)) to calculate the Incident Wave Height, Incident Wave Height given Water Surface Amplitude is defined as wave depth parameter influencing water surface amplitude of profile view of water surface envelope positions for wave reflecting from wall that has reflection coefficient equal to unity. Incident Wave Height is denoted by Hi symbol.

How to calculate Incident Wave Height given Water Surface Amplitude using this online calculator? To use this online calculator for Incident Wave Height given Water Surface Amplitude, enter Water Surface Amplitude (N), Horizontal Ordinate (x), Incident Wave Length in Deepwater (Lo), Time Elapsed (t) & Reflected Wave Period (T) and hit the calculate button. Here is how the Incident Wave Height given Water Surface Amplitude calculation can be explained with given input values -> 229.4763 = 113/(cos(2*pi*38.5/16)*cos(2*pi*12/34.2)).

FAQ

What is Incident Wave Height given Water Surface Amplitude?
Incident Wave Height given Water Surface Amplitude is defined as wave depth parameter influencing water surface amplitude of profile view of water surface envelope positions for wave reflecting from wall that has reflection coefficient equal to unity and is represented as Hi = N/(cos(2*pi*x/Lo)*cos(2*pi*t/T)) or Incident Wave Height = Water Surface Amplitude/(cos(2*pi*Horizontal Ordinate/Incident Wave Length in Deepwater)*cos(2*pi*Time Elapsed/Reflected Wave Period)). Water Surface Amplitude [length] is dependent on the incidental wave height, Horizontal Ordinate influencing the Water Surface Amplitude, Incident Wave Length in Deepwater [length] is the wave length of the wave that travels from the generating source towards the load, Time elapsed after a particular task is started & Reflected Wave Period influencing the Water Surface Amplitude.
How to calculate Incident Wave Height given Water Surface Amplitude?
Incident Wave Height given Water Surface Amplitude is defined as wave depth parameter influencing water surface amplitude of profile view of water surface envelope positions for wave reflecting from wall that has reflection coefficient equal to unity is calculated using Incident Wave Height = Water Surface Amplitude/(cos(2*pi*Horizontal Ordinate/Incident Wave Length in Deepwater)*cos(2*pi*Time Elapsed/Reflected Wave Period)). To calculate Incident Wave Height given Water Surface Amplitude, you need Water Surface Amplitude (N), Horizontal Ordinate (x), Incident Wave Length in Deepwater (Lo), Time Elapsed (t) & Reflected Wave Period (T). With our tool, you need to enter the respective value for Water Surface Amplitude, Horizontal Ordinate, Incident Wave Length in Deepwater, Time Elapsed & Reflected Wave Period and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Incident Wave Height?
In this formula, Incident Wave Height uses Water Surface Amplitude, Horizontal Ordinate, Incident Wave Length in Deepwater, Time Elapsed & Reflected Wave Period. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Incident Wave Height = Incident Wave Length in Deepwater*(tan(Angle Sloped plane forms with the horizontal)/Surf Similarity Number or Iribarren Number)^2
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