Wave Height for Minor Vertical Semi-Axis Deep Water Condition Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of the Wave = (2*Vertical Semi-Axis)/exp(2*pi*Sea Bed Elevation/Length of Water Wave)
Hw = (2*B)/exp(2*pi*Z/L)
This formula uses 1 Constants, 1 Functions, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)
Variables Used
Height of the Wave - (Measured in Meter) - Height of the Wave is the difference between the elevations of a crest and a neighboring trough.
Vertical Semi-Axis - Vertical Semi-Axis refers to a geometric property of an object or structure.
Sea Bed Elevation - Sea Bed Elevation refers to the measurement of the height or depth of the ocean floor relative to a specified reference point, such as mean sea level.
Length of Water Wave - (Measured in Meter) - Length of Water Wave is the horizontal distance between corresponding points on two successive waves.
STEP 1: Convert Input(s) to Base Unit
Vertical Semi-Axis: 7.415 --> No Conversion Required
Sea Bed Elevation: 0.8 --> No Conversion Required
Length of Water Wave: 90 Meter --> 90 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Hw = (2*B)/exp(2*pi*Z/L) --> (2*7.415)/exp(2*pi*0.8/90)
Evaluating ... ...
Hw = 14.024441376824
STEP 3: Convert Result to Output's Unit
14.024441376824 Meter --> No Conversion Required
FINAL ANSWER
14.024441376824 14.02444 Meter <-- Height of the Wave
(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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NSS College of Engineering (NSSCE), Palakkad
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Horizontal and Vertical Semi Axis of Ellipse Calculators

Major Horizontal Semi Axis for Deep Water Condition
​ LaTeX ​ Go Horizontal Semi-axis of Water Particle = (Height of the Wave/2)*exp(2*pi*Sea Bed Elevation/Length of Water Wave)
Major Horizontal Semi Axis for Shallow Water Condition
​ LaTeX ​ Go Horizontal Semi-axis of Water Particle = (Height of the Wave/2)*(Length of Water Wave/(2*pi*Water Depth for Semi-Axis of Ellipse))
Minor Vertical Semi-Axis for Deep Water Condition
​ LaTeX ​ Go Vertical Semi-Axis = (Height of the Wave/2)*exp(2*pi*Sea Bed Elevation/Length of Water Wave)
Minor Vertical Semi Axis for Shallow Water Condition
​ LaTeX ​ Go Vertical Semi-Axis = (Height of the Wave/2)*(1+Sea Bed Elevation/Water Depth for Semi-Axis of Ellipse)

Wave Height for Minor Vertical Semi-Axis Deep Water Condition Formula

​LaTeX ​Go
Height of the Wave = (2*Vertical Semi-Axis)/exp(2*pi*Sea Bed Elevation/Length of Water Wave)
Hw = (2*B)/exp(2*pi*Z/L)

How Does Depth Affect Wavelength?

The change from deep to shallow water waves occurs when the depth of the water, d, becomes less than one half of the wavelength of the wave, λ. The speed of deep-water waves depends on the wavelength of the waves. We say that deep-water waves show dispersion. A wave with a longer wavelength travels at higher speed.

What is Deep water conditions?

Deep water corresponds with water depths larger than half the wavelength, which is the common situation in the ocean. In deep water, longer period waves propagate faster and transport their energy faster. The deep-water group velocity is half the phase velocity.

How to Calculate Wave Height for Minor Vertical Semi-Axis Deep Water Condition?

Wave Height for Minor Vertical Semi-Axis Deep Water Condition calculator uses Height of the Wave = (2*Vertical Semi-Axis)/exp(2*pi*Sea Bed Elevation/Length of Water Wave) to calculate the Height of the Wave, The Wave Height for Minor Vertical Semi-Axis Deep Water Condition formula is defined as the difference between the elevations of a crest and a neighboring trough, when we have information about minor vertical semi axis for deep water. Height of the Wave is denoted by Hw symbol.

How to calculate Wave Height for Minor Vertical Semi-Axis Deep Water Condition using this online calculator? To use this online calculator for Wave Height for Minor Vertical Semi-Axis Deep Water Condition, enter Vertical Semi-Axis (B), Sea Bed Elevation (Z) & Length of Water Wave (L) and hit the calculate button. Here is how the Wave Height for Minor Vertical Semi-Axis Deep Water Condition calculation can be explained with given input values -> 14.02444 = (2*7.415)/exp(2*pi*0.8/90).

FAQ

What is Wave Height for Minor Vertical Semi-Axis Deep Water Condition?
The Wave Height for Minor Vertical Semi-Axis Deep Water Condition formula is defined as the difference between the elevations of a crest and a neighboring trough, when we have information about minor vertical semi axis for deep water and is represented as Hw = (2*B)/exp(2*pi*Z/L) or Height of the Wave = (2*Vertical Semi-Axis)/exp(2*pi*Sea Bed Elevation/Length of Water Wave). Vertical Semi-Axis refers to a geometric property of an object or structure, Sea Bed Elevation refers to the measurement of the height or depth of the ocean floor relative to a specified reference point, such as mean sea level & Length of Water Wave is the horizontal distance between corresponding points on two successive waves.
How to calculate Wave Height for Minor Vertical Semi-Axis Deep Water Condition?
The Wave Height for Minor Vertical Semi-Axis Deep Water Condition formula is defined as the difference between the elevations of a crest and a neighboring trough, when we have information about minor vertical semi axis for deep water is calculated using Height of the Wave = (2*Vertical Semi-Axis)/exp(2*pi*Sea Bed Elevation/Length of Water Wave). To calculate Wave Height for Minor Vertical Semi-Axis Deep Water Condition, you need Vertical Semi-Axis (B), Sea Bed Elevation (Z) & Length of Water Wave (L). With our tool, you need to enter the respective value for Vertical Semi-Axis, Sea Bed Elevation & Length of Water Wave 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 Height of the Wave?
In this formula, Height of the Wave uses Vertical Semi-Axis, Sea Bed Elevation & Length of Water Wave. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Height of the Wave = (4*Horizontal Semi-axis of Water Particle*pi*Water Depth for Semi-Axis of Ellipse)/Length of Water Wave
  • Height of the Wave = (2*Vertical Semi-Axis)/(1+(Sea Bed Elevation/Water Depth for Semi-Axis of Ellipse))
  • Height of the Wave = (2*Horizontal Semi-axis of Water Particle)/exp(2*pi*Sea Bed Elevation/Length of Water Wave)
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