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Horizontal Semi-axis of Water Particle refers to the horizontal component of the oscillation of water particles caused by waves or other hydrodynamic forces in coastal and engineering. Check FAQs
A=(Hw2)exp(2πZL)
A - Horizontal Semi-axis of Water Particle?Hw - Height of the Wave?Z - Sea Bed Elevation?L - Length of Water Wave?π - Archimedes' constant?

Major Horizontal Semi Axis for Deep Water Condition Example

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Here is how the Major Horizontal Semi Axis for Deep Water Condition equation looks like with Values.

Here is how the Major Horizontal Semi Axis for Deep Water Condition equation looks like with Units.

Here is how the Major Horizontal Semi Axis for Deep Water Condition equation looks like.

7.4021Edit=(14Edit2)exp(23.14160.8Edit90Edit)
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Major Horizontal Semi Axis for Deep Water Condition Solution

Follow our step by step solution on how to calculate Major Horizontal Semi Axis for Deep Water Condition?

FIRST Step Consider the formula
A=(Hw2)exp(2πZL)
Next Step Substitute values of Variables
A=(14m2)exp(2π0.890m)
Next Step Substitute values of Constants
A=(14m2)exp(23.14160.890m)
Next Step Prepare to Evaluate
A=(142)exp(23.14160.890)
Next Step Evaluate
A=7.4020773598548
LAST Step Rounding Answer
A=7.4021

Major Horizontal Semi Axis for Deep Water Condition Formula Elements

Variables
Constants
Functions
Horizontal Semi-axis of Water Particle
Horizontal Semi-axis of Water Particle refers to the horizontal component of the oscillation of water particles caused by waves or other hydrodynamic forces in coastal and engineering.
Symbol: A
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Height of the Wave
Height of the Wave is the difference between the elevations of a crest and a neighboring trough.
Symbol: Hw
Measurement: LengthUnit: m
Note: Value can be positive or negative.
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.
Symbol: Z
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Length of Water Wave
Length of Water Wave is the horizontal distance between corresponding points on two successive waves.
Symbol: L
Measurement: LengthUnit: m
Note: Value can be positive or negative.
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288
exp
n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.
Syntax: exp(Number)

Other Formulas to find Horizontal Semi-axis of Water Particle

​Go Major Horizontal Semi Axis for Shallow Water Condition
A=(Hw2)(L2πds)

Other formulas in Horizontal and Vertical Semi Axis of Ellipse category

​Go Minor Vertical Semi-Axis for Deep Water Condition
B=(Hw2)exp(2πZL)
​Go Minor Vertical Semi Axis for Shallow Water Condition
B=(Hw2)(1+Zds)
​Go Wave Height for Major Horizontal Semi-Axis for Shallow Water Condition
Hw=4AπdsL
​Go Wavelength for Major Horizontal Semi-Axis for Shallow Water Condition
L=4πdsAHw

How to Evaluate Major Horizontal Semi Axis for Deep Water Condition?

Major Horizontal Semi Axis for Deep Water Condition evaluator uses Horizontal Semi-axis of Water Particle = (Height of the Wave/2)*exp(2*pi*Sea Bed Elevation/Length of Water Wave) to evaluate the Horizontal Semi-axis of Water Particle, The Major Horizontal Semi Axis for Deep Water Condition formula is defined as the parameters of ellipse influencing fluid particle displacement in horizontal and vertical direction. Horizontal Semi-axis of Water Particle is denoted by A symbol.

How to evaluate Major Horizontal Semi Axis for Deep Water Condition using this online evaluator? To use this online evaluator for Major Horizontal Semi Axis for Deep Water Condition, enter Height of the Wave (Hw), Sea Bed Elevation (Z) & Length of Water Wave (L) and hit the calculate button.

FAQs on Major Horizontal Semi Axis for Deep Water Condition

What is the formula to find Major Horizontal Semi Axis for Deep Water Condition?
The formula of Major Horizontal Semi Axis for Deep Water Condition is expressed as Horizontal Semi-axis of Water Particle = (Height of the Wave/2)*exp(2*pi*Sea Bed Elevation/Length of Water Wave). Here is an example- 7.402077 = (14/2)*exp(2*pi*0.8/90).
How to calculate Major Horizontal Semi Axis for Deep Water Condition?
With Height of the Wave (Hw), Sea Bed Elevation (Z) & Length of Water Wave (L) we can find Major Horizontal Semi Axis for Deep Water Condition using the formula - Horizontal Semi-axis of Water Particle = (Height of the Wave/2)*exp(2*pi*Sea Bed Elevation/Length of Water Wave). This formula also uses Archimedes' constant and Exponential Growth (exp) function(s).
What are the other ways to Calculate Horizontal Semi-axis of Water Particle?
Here are the different ways to Calculate Horizontal Semi-axis of Water Particle-
  • Horizontal Semi-axis of Water Particle=(Height of the Wave/2)*(Length of Water Wave/(2*pi*Water Depth for Semi-Axis of Ellipse))OpenImg
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