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 = Hi*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
Water Surface Amplitude - (Measured in Meter) - Water Surface Amplitude [length] is dependent on the incidental wave height.
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].
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
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: 34.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
N = Hi*cos(2*pi*x/Lo)*cos(2*pi*t/T) --> 160*cos(2*pi*38.5/16)*cos(2*pi*12/34.2)
Evaluating ... ...
N = 78.7880985480401
STEP 3: Convert Result to Output's Unit
78.7880985480401 Meter --> No Conversion Required
FINAL ANSWER
78.7880985480401 78.7881 Meter <-- Water Surface Amplitude
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Calculator and 2000+ more calculators!
Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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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)

Water Surface Amplitude Formula

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 = Hi*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 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 for a profile view of the water surface envelope positions for a wave reflecting from a wall that has a reflection coefficient equal to unity. 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 (Hi), 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 Water Surface Amplitude calculation can be explained with given input values -> 78.7881 = 160*cos(2*pi*38.5/16)*cos(2*pi*12/34.2).

FAQ

What is Water Surface Amplitude?
The Water Surface Amplitude for a profile view of the water surface envelope positions for a wave reflecting from a wall that has a reflection coefficient equal to unity and is represented as N = Hi*cos(2*pi*x/Lo)*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 a quarter of a wave length [length], 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 Water Surface Amplitude?
The Water Surface Amplitude for a profile view of the water surface envelope positions for a wave reflecting from a wall that has a reflection coefficient equal to unity 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 (Hi), 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 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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