Incident Wave Height given Water Surface Amplitude Calculator

✖Water Surface Amplitude is the maximum vertical distance between the highest and lowest points of a water surface wave.ⓘ Water Surface Amplitude [N]			+10% -10%
✖Horizontal Ordinate refers to the distance measured horizontally from a reference point or axis.ⓘ Horizontal Ordinate [x]			+10% -10%
✖Incident Wave Length in Deepwater is the wave length of the wave that travels from the generating source towards the load.ⓘ Incident Wave Length in Deepwater [L_o]			+10% -10%
✖Time Elapsed is the total duration that has passed from the start of an event to a specific point in time, typically measured in seconds, minutes, or hours.ⓘ Time Elapsed [t]			+10% -10%
✖Reflected Wave Period is the time interval between successive crests or troughs of a wave after it reflects off a surface, measured in seconds (s).ⓘ Reflected Wave Period [T]			+10% -10%

✖Incident Wave Height is obtained as the arithmetic mean of the wave heights measured by two gauges separated by a quarter of a wavelength [length].ⓘ Incident Wave Height given Water Surface Amplitude [H_i]

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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))
H_i = N/(cos((2*pi*x)/L_o)*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 by a quarter of a wavelength [length].
Water Surface Amplitude - (Measured in Meter) - Water Surface Amplitude is the maximum vertical distance between the highest and lowest points of a water surface wave.
Horizontal Ordinate - Horizontal Ordinate refers to the distance measured horizontally from a reference point or axis.
Incident Wave Length in Deepwater - (Measured in Meter) - Incident Wave Length in Deepwater is the wave length of the wave that travels from the generating source towards the load.
Time Elapsed - (Measured in Second) - Time Elapsed is the total duration that has passed from the start of an event to a specific point in time, typically measured in seconds, minutes, or hours.
Reflected Wave Period - (Measured in Second) - Reflected Wave Period is the time interval between successive crests or troughs of a wave after it reflects off a surface, measured in seconds (s).

STEP 1: Convert Input(s) to Base Unit

Water Surface Amplitude: 78.78 Meter --> 78.78 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 Second --> 34 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_i = N/(cos((2*pi*x)/L_o)*cos((2*pi*t)/T)) --> 78.78/(cos((2*pi*38.5)/16)*cos((2*pi*12)/34))

Evaluating ... ...

H_i = 157.222792494552

STEP 3: Convert Result to Output's Unit

157.222792494552 Meter --> No Conversion Required

FINAL ANSWER

157.222792494552 ≈ 157.2228 Meter <-- Incident Wave Height

(Calculation completed in 00.020 seconds)

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< Wave Transmission Coefficient and Water Surface Amplitude Calculators

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Incident Wave Height given Water Surface Amplitude Formula

LaTeX Go

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 H_i 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 (L_o), 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 -> 159.9836 = 78.78/(cos((2*pi*38.5)/16)*cos((2*pi*12)/34)).

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 H_i = N/(cos((2*pi*x)/L_o)*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 is the maximum vertical distance between the highest and lowest points of a water surface wave, Horizontal Ordinate refers to the distance measured horizontally from a reference point or axis, Incident Wave Length in Deepwater is the wave length of the wave that travels from the generating source towards the load, Time Elapsed is the total duration that has passed from the start of an event to a specific point in time, typically measured in seconds, minutes, or hours & Reflected Wave Period is the time interval between successive crests or troughs of a wave after it reflects off a surface, measured in seconds (s).

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 (L_o), 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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