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Standing Wave Height given Maximum Horizontal Particle Excursion at Node Calculator

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✖Maximum Horizontal Particle Excursion refers to the maximum distance that a particle can travel horizontally from its initial position under the influence of a wave or current.ⓘ Maximum Horizontal Particle Excursion [X]			+10% -10%
✖Natural Free Oscillating Period of a Basin referred to as the natural period or resonant period, is the time it takes for a wave to travel from one end of the basin to the other and back again.ⓘ Natural Free Oscillating Period of a Basin [T_n]			+10% -10%
✖Water Depth at Harbor is the vertical distance from the water surface to the seabed or bottom of the harbor.ⓘ Water Depth at Harbor [d]			+10% -10%

✖Wave Height is formed when two equal waves are going in opposite direction and create the usual up/down motion of the water surface, but the waves don't progress.ⓘ Standing Wave Height given Maximum Horizontal Particle Excursion at Node [H_wave]

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Standing Wave Height given Maximum Horizontal Particle Excursion at Node Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Height = (2*pi*Maximum Horizontal Particle Excursion)/Natural Free Oscillating Period of a Basin*sqrt([g]/Water Depth at Harbor)
H_wave = (2*pi*X)/T_n*sqrt([g]/d)
This formula uses 2 Constants, 1 Functions, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Wave Height - (Measured in Meter) - Wave Height is formed when two equal waves are going in opposite direction and create the usual up/down motion of the water surface, but the waves don't progress.
Maximum Horizontal Particle Excursion - (Measured in Meter) - Maximum Horizontal Particle Excursion refers to the maximum distance that a particle can travel horizontally from its initial position under the influence of a wave or current.
Natural Free Oscillating Period of a Basin - (Measured in Second) - Natural Free Oscillating Period of a Basin referred to as the natural period or resonant period, is the time it takes for a wave to travel from one end of the basin to the other and back again.
Water Depth at Harbor - (Measured in Meter) - Water Depth at Harbor is the vertical distance from the water surface to the seabed or bottom of the harbor.

STEP 1: Convert Input(s) to Base Unit

Maximum Horizontal Particle Excursion: 7.88 Meter --> 7.88 Meter No Conversion Required
Natural Free Oscillating Period of a Basin: 5.5 Second --> 5.5 Second No Conversion Required
Water Depth at Harbor: 1.05 Meter --> 1.05 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_wave = (2*pi*X)/T_n*sqrt([g]/d) --> (2*pi*7.88)/5.5*sqrt([g]/1.05)

Evaluating ... ...

H_wave = 27.5111715247954

STEP 3: Convert Result to Output's Unit

27.5111715247954 Meter --> No Conversion Required

FINAL ANSWER

27.5111715247954 ≈ 27.51117 Meter <-- Wave Height

(Calculation completed in 00.004 seconds)

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< Harbor Oscillations Calculators

Period for Fundamental Mode

LaTeX Go Natural Free Oscillating Period of a Basin = (4*Length of Basin along Axis)/sqrt([g]*Water Depth at Harbor)

Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode

LaTeX Go Length of Basin along Axis = Maximum Oscillation Period*sqrt([g]*Water Depth)/2

Maximum Oscillation Period corresponding to Fundamental Mode

LaTeX Go Maximum Oscillation Period = 2*Length of Basin along Axis/sqrt([g]*Water Depth)

Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode

LaTeX Go Water Depth at Harbor = (2*Length of Basin along Axis/Natural Free Oscillating Period of a Basin)^2/[g]

Standing Wave Height given Maximum Horizontal Particle Excursion at Node Formula

LaTeX Go

Wave Height = (2*pi*Maximum Horizontal Particle Excursion)/Natural Free Oscillating Period of a Basin*sqrt([g]/Water Depth at Harbor)
H_wave = (2*pi*X)/T_n*sqrt([g]/d)

What are Open Basins?

Open Basins are Exorheic, or open lakes drain into a river, or other body of water that ultimately drains into the ocean.

What are Closed Basins?

Enclosed basins can experience oscillations due to a variety of causes. Lake oscillations are usually the result of a sudden change, or a series of intermittent-periodic changes, in atmospheric pressure or wind velocity. Oscillations in canals can be initiated by suddenly adding or subtracting large quantities of water. Harbor oscillations are usually initiated by forcing through the entrance; hence, they deviate from a true closed basin. Local seismic activity can also create oscillations in an enclosed basin.

How to Calculate Standing Wave Height given Maximum Horizontal Particle Excursion at Node?

Standing Wave Height given Maximum Horizontal Particle Excursion at Node calculator uses Wave Height = (2*pi*Maximum Horizontal Particle Excursion)/Natural Free Oscillating Period of a Basin*sqrt([g]/Water Depth at Harbor) to calculate the Wave Height, The Standing Wave Height given Maximum Horizontal Particle Excursion at Node formula is defined as the vertical distance between the crest (highest point) and the trough (lowest point) of a standing wave. In a standing wave, certain points (nodes) appear to be stationary while the rest of the wave oscillates, at the nodes of a standing wave, the vertical motion of water particles is zero, but they still experience horizontal movement. Wave Height is denoted by H_wave symbol.

How to calculate Standing Wave Height given Maximum Horizontal Particle Excursion at Node using this online calculator? To use this online calculator for Standing Wave Height given Maximum Horizontal Particle Excursion at Node, enter Maximum Horizontal Particle Excursion (X), Natural Free Oscillating Period of a Basin (T_n) & Water Depth at Harbor (d) and hit the calculate button. Here is how the Standing Wave Height given Maximum Horizontal Particle Excursion at Node calculation can be explained with given input values -> 27.51117 = (2*pi*7.88)/5.5*sqrt([g]/1.05).

FAQ

What is Standing Wave Height given Maximum Horizontal Particle Excursion at Node?

The Standing Wave Height given Maximum Horizontal Particle Excursion at Node formula is defined as the vertical distance between the crest (highest point) and the trough (lowest point) of a standing wave. In a standing wave, certain points (nodes) appear to be stationary while the rest of the wave oscillates, at the nodes of a standing wave, the vertical motion of water particles is zero, but they still experience horizontal movement and is represented as H_wave = (2*pi*X)/T_n*sqrt([g]/d) or Wave Height = (2*pi*Maximum Horizontal Particle Excursion)/Natural Free Oscillating Period of a Basin*sqrt([g]/Water Depth at Harbor). Maximum Horizontal Particle Excursion refers to the maximum distance that a particle can travel horizontally from its initial position under the influence of a wave or current, Natural Free Oscillating Period of a Basin referred to as the natural period or resonant period, is the time it takes for a wave to travel from one end of the basin to the other and back again & Water Depth at Harbor is the vertical distance from the water surface to the seabed or bottom of the harbor.

How to calculate Standing Wave Height given Maximum Horizontal Particle Excursion at Node?

The Standing Wave Height given Maximum Horizontal Particle Excursion at Node formula is defined as the vertical distance between the crest (highest point) and the trough (lowest point) of a standing wave. In a standing wave, certain points (nodes) appear to be stationary while the rest of the wave oscillates, at the nodes of a standing wave, the vertical motion of water particles is zero, but they still experience horizontal movement is calculated using Wave Height = (2*pi*Maximum Horizontal Particle Excursion)/Natural Free Oscillating Period of a Basin*sqrt([g]/Water Depth at Harbor). To calculate Standing Wave Height given Maximum Horizontal Particle Excursion at Node, you need Maximum Horizontal Particle Excursion (X), Natural Free Oscillating Period of a Basin (T_n) & Water Depth at Harbor (d). With our tool, you need to enter the respective value for Maximum Horizontal Particle Excursion, Natural Free Oscillating Period of a Basin & Water Depth at Harbor 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 Wave Height?

In this formula, Wave Height uses Maximum Horizontal Particle Excursion, Natural Free Oscillating Period of a Basin & Water Depth at Harbor. We can use 1 other way(s) to calculate the same, which is/are as follows -

Wave Height = (Average Horizontal Velocity at a Node*pi*Water Depth at Harbor*Natural Free Oscillating Period of a Basin)/Wavelength

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