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Height of the Wave is the difference between the elevations of a crest and a neighboring trough. Check FAQs
Hw=4AπdsL
Hw - Height of the Wave?A - Horizontal Semi-axis of Water Particle?ds - Water Depth for Semi-Axis of Ellipse?L - Length of Water Wave?π - Archimedes' constant?

Wave Height for Major Horizontal Semi-Axis for Shallow Water Condition Example

With values
With units
Only example

Here is how the Wave Height for Major Horizontal Semi-Axis for Shallow Water Condition equation looks like with Values.

Here is how the Wave Height for Major Horizontal Semi-Axis for Shallow Water Condition equation looks like with Units.

Here is how the Wave Height for Major Horizontal Semi-Axis for Shallow Water Condition equation looks like.

13.9526Edit=47.4021Edit3.141613.5Edit90Edit
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Wave Height for Major Horizontal Semi-Axis for Shallow Water Condition Solution

Follow our step by step solution on how to calculate Wave Height for Major Horizontal Semi-Axis for Shallow Water Condition?

FIRST Step Consider the formula
Hw=4AπdsL
Next Step Substitute values of Variables
Hw=47.4021π13.5m90m
Next Step Substitute values of Constants
Hw=47.40213.141613.5m90m
Next Step Prepare to Evaluate
Hw=47.40213.141613.590
Next Step Evaluate
Hw=13.9526297886822m
LAST Step Rounding Answer
Hw=13.9526m

Wave Height for Major Horizontal Semi-Axis for Shallow Water Condition Formula Elements

Variables
Constants
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.
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.
Water Depth for Semi-Axis of Ellipse
Water Depth for Semi-Axis of Ellipse is the depth of water from the bed of sea for semi-axis of ellipse.
Symbol: ds
Measurement: LengthUnit: m
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

Other Formulas to find Height of the Wave

​Go Wave Height Given Minor Vertical Semi-Axis for Shallow Water Condition
Hw=2B1+(Zds)
​Go Wave Height for Major Horizontal Semi-Axis Deep Water Condition
Hw=2Aexp(2πZL)
​Go Wave Height for Minor Vertical Semi-Axis Deep Water Condition
Hw=2Bexp(2πZL)

Other formulas in Horizontal and Vertical Semi Axis of Ellipse category

​Go Major Horizontal Semi Axis for Deep Water Condition
A=(Hw2)exp(2πZL)
​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 Major Horizontal Semi Axis for Shallow Water Condition
A=(Hw2)(L2πds)

How to Evaluate Wave Height for Major Horizontal Semi-Axis for Shallow Water Condition?

Wave Height for Major Horizontal Semi-Axis for Shallow Water Condition evaluator uses Height of the Wave = (4*Horizontal Semi-axis of Water Particle*pi*Water Depth for Semi-Axis of Ellipse)/Length of Water Wave to evaluate the Height of the Wave, The Wave Height for Major Horizontal Semi-Axis for Shallow Water Condition formula is defined as the difference between the elevations of a crest and a neighboring trough, when we have information about major horizontal semi axis for shallow water. Height of the Wave is denoted by Hw symbol.

How to evaluate Wave Height for Major Horizontal Semi-Axis for Shallow Water Condition using this online evaluator? To use this online evaluator for Wave Height for Major Horizontal Semi-Axis for Shallow Water Condition, enter Horizontal Semi-axis of Water Particle (A), Water Depth for Semi-Axis of Ellipse (ds) & Length of Water Wave (L) and hit the calculate button.

FAQs on Wave Height for Major Horizontal Semi-Axis for Shallow Water Condition

What is the formula to find Wave Height for Major Horizontal Semi-Axis for Shallow Water Condition?
The formula of Wave Height for Major Horizontal Semi-Axis for Shallow Water Condition is expressed as Height of the Wave = (4*Horizontal Semi-axis of Water Particle*pi*Water Depth for Semi-Axis of Ellipse)/Length of Water Wave. Here is an example- 13.95263 = (4*7.4021*pi*13.5)/90.
How to calculate Wave Height for Major Horizontal Semi-Axis for Shallow Water Condition?
With Horizontal Semi-axis of Water Particle (A), Water Depth for Semi-Axis of Ellipse (ds) & Length of Water Wave (L) we can find Wave Height for Major Horizontal Semi-Axis for Shallow Water Condition using the formula - Height of the Wave = (4*Horizontal Semi-axis of Water Particle*pi*Water Depth for Semi-Axis of Ellipse)/Length of Water Wave. This formula also uses Archimedes' constant .
What are the other ways to Calculate Height of the Wave?
Here are the different ways to Calculate Height of the Wave-
  • Height of the Wave=(2*Vertical Semi-Axis)/(1+(Sea Bed Elevation/Water Depth for Semi-Axis of Ellipse))OpenImg
  • Height of the Wave=(2*Horizontal Semi-axis of Water Particle)/exp(2*pi*Sea Bed Elevation/Length of Water Wave)OpenImg
  • Height of the Wave=(2*Vertical Semi-Axis)/exp(2*pi*Sea Bed Elevation/Length of Water Wave)OpenImg
Can the Wave Height for Major Horizontal Semi-Axis for Shallow Water Condition be negative?
Yes, the Wave Height for Major Horizontal Semi-Axis for Shallow Water Condition, measured in Length can be negative.
Which unit is used to measure Wave Height for Major Horizontal Semi-Axis for Shallow Water Condition?
Wave Height for Major Horizontal Semi-Axis for Shallow Water Condition is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Wave Height for Major Horizontal Semi-Axis for Shallow Water Condition can be measured.
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