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Water Depth 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%
✖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.ⓘ Wave Height [H_wave]			+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 given Maximum Horizontal Particle Excursion at Node [d]

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Water Depth given Maximum Horizontal Particle Excursion at Node Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Maximum Horizontal Particle Excursion: 7.88 Meter --> 7.88 Meter No Conversion Required
Wave Height: 30 Meter --> 30 Meter No Conversion Required
Natural Free Oscillating Period of a Basin: 5.5 Second --> 5.5 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = [g]/(2*pi*X/H_wave*T_n)^2 --> [g]/(2*pi*7.88/30*5.5)^2

Evaluating ... ...

d = 0.119021558938243

STEP 3: Convert Result to Output's Unit

0.119021558938243 Meter --> No Conversion Required

FINAL ANSWER

0.119021558938243 ≈ 0.119022 Meter <-- Water Depth at Harbor

(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]

Water Depth given Maximum Horizontal Particle Excursion at Node Formula

LaTeX Go

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

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 Water Depth given Maximum Horizontal Particle Excursion at Node?

Water Depth given Maximum Horizontal Particle Excursion at Node calculator uses Water Depth at Harbor = [g]/(2*pi*Maximum Horizontal Particle Excursion/Wave Height*Natural Free Oscillating Period of a Basin)^2 to calculate the Water Depth at Harbor, The Water Depth given Maximum Horizontal Particle Excursion at Node formula is defined as depth parameter influencing Horizontal Particle Excursion, natural free oscillation period, number of nodes in basin does not include node at entrance. Water Depth at Harbor is denoted by d symbol.

How to calculate Water Depth given Maximum Horizontal Particle Excursion at Node using this online calculator? To use this online calculator for Water Depth given Maximum Horizontal Particle Excursion at Node, enter Maximum Horizontal Particle Excursion (X), Wave Height (H_wave) & Natural Free Oscillating Period of a Basin (T_n) and hit the calculate button. Here is how the Water Depth given Maximum Horizontal Particle Excursion at Node calculation can be explained with given input values -> 0.119022 = [g]/(2*pi*7.88/30*5.5)^2.

FAQ

What is Water Depth given Maximum Horizontal Particle Excursion at Node?

The Water Depth given Maximum Horizontal Particle Excursion at Node formula is defined as depth parameter influencing Horizontal Particle Excursion, natural free oscillation period, number of nodes in basin does not include node at entrance and is represented as d = [g]/(2*pi*X/H_wave*T_n)^2 or Water Depth at Harbor = [g]/(2*pi*Maximum Horizontal Particle Excursion/Wave Height*Natural Free Oscillating Period of a Basin)^2. 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, 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 & 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.

How to calculate Water Depth given Maximum Horizontal Particle Excursion at Node?

The Water Depth given Maximum Horizontal Particle Excursion at Node formula is defined as depth parameter influencing Horizontal Particle Excursion, natural free oscillation period, number of nodes in basin does not include node at entrance is calculated using Water Depth at Harbor = [g]/(2*pi*Maximum Horizontal Particle Excursion/Wave Height*Natural Free Oscillating Period of a Basin)^2. To calculate Water Depth given Maximum Horizontal Particle Excursion at Node, you need Maximum Horizontal Particle Excursion (X), Wave Height (H_wave) & Natural Free Oscillating Period of a Basin (T_n). With our tool, you need to enter the respective value for Maximum Horizontal Particle Excursion, Wave Height & Natural Free Oscillating Period of a Basin 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 Water Depth at Harbor?

In this formula, Water Depth at Harbor uses Maximum Horizontal Particle Excursion, Wave Height & Natural Free Oscillating Period of a Basin. We can use 2 other way(s) to calculate the same, which is/are as follows -

Water Depth at Harbor = (2*Length of Basin along Axis/Natural Free Oscillating Period of a Basin)^2/[g]
Water Depth at Harbor = ((4*Length of Basin along Axis/Natural Free Oscillating Period of a Basin)^2)/[g]

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