Water Surface Amplitude Calculator

✖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 [H_i]			+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%

✖Water Surface Amplitude is the maximum vertical distance between the highest and lowest points of a water surface wave.ⓘ Water Surface Amplitude [N]

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Water Surface Amplitude Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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].
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

Incident Wave Height: 160 Meter --> 160 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

N = H_i*cos((2*pi*x)/L_o)*cos((2*pi*t)/T) --> 160*cos((2*pi*38.5)/16)*cos((2*pi*12)/34)

Evaluating ... ...

N = 80.1715819952553

STEP 3: Convert Result to Output's Unit

80.1715819952553 Meter --> No Conversion Required

FINAL ANSWER

80.1715819952553 ≈ 80.17158 Meter <-- Water Surface Amplitude

(Calculation completed in 00.015 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< Wave Transmission Coefficient and Water Surface Amplitude Calculators

Dimensionless Coefficient in Seelig Equation for Wave Transmission Coefficient

LaTeX 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

LaTeX Go Wave Runup = Freeboard/(1-(Wave Transmission Coefficient/Dimensionless Coefficient in the Seelig Equation))

Freeboard for given Wave Transmission Coefficient

LaTeX Go Freeboard = Wave Runup*(1-(Wave Transmission Coefficient/Dimensionless Coefficient in the Seelig Equation))

Wave Transmission Coefficient

LaTeX Go Wave Transmission Coefficient = Dimensionless Coefficient in the Seelig Equation*(1-(Freeboard/Wave Runup))

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 Water Surface Amplitude?

Water Surface Amplitude calculator uses Water Surface Amplitude = Incident Wave Height*cos((2*pi*Horizontal Ordinate)/Incident Wave Length in Deepwater)*cos((2*pi*Time Elapsed)/Reflected Wave Period) to calculate the Water Surface Amplitude, The Water Surface Amplitude is defined as the maximum vertical distance between the highest and lowest points of a water surface wave. Water Surface Amplitude is denoted by N symbol.

How to calculate Water Surface Amplitude using this online calculator? To use this online calculator for Water Surface Amplitude, enter Incident Wave Height (H_i), 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 Water Surface Amplitude calculation can be explained with given input values -> 78.7881 = 160*cos((2*pi*38.5)/16)*cos((2*pi*12)/34).

FAQ

What is Water Surface Amplitude?

The Water Surface Amplitude is defined as the maximum vertical distance between the highest and lowest points of a water surface wave and is represented as N = H_i*cos((2*pi*x)/L_o)*cos((2*pi*t)/T) or Water Surface Amplitude = Incident Wave Height*cos((2*pi*Horizontal Ordinate)/Incident Wave Length in Deepwater)*cos((2*pi*Time Elapsed)/Reflected Wave Period). 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], 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 Water Surface Amplitude?

The Water Surface Amplitude is defined as the maximum vertical distance between the highest and lowest points of a water surface wave is calculated using Water Surface Amplitude = Incident Wave Height*cos((2*pi*Horizontal Ordinate)/Incident Wave Length in Deepwater)*cos((2*pi*Time Elapsed)/Reflected Wave Period). To calculate Water Surface Amplitude, you need Incident Wave Height (H_i), 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 Incident Wave Height, 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.

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