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Water Depth given Maximum Horizontal Particle Excursion at Node Formula

GoWater Depth given Maximum Oscillation Period corresponding to Fundamental Mode Formula

GoWater Depth for given Period for Fundamental Mode Formula

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Water Depth at Harbor is the vertical distance from the water surface to the seabed or bottom of the harbor. Check FAQs

d = \frac{[g]}{{(2 \cdot π \cdot \frac{X}{H wave} \cdot T n)}^{2}}

d - Water Depth at Harbor?X - Maximum Horizontal Particle Excursion?H_wave - Wave Height?T_n - Natural Free Oscillating Period of a Basin?[g] - Gravitational acceleration on Earth?π - Archimedes' constant?

Water Depth given Maximum Horizontal Particle Excursion at Node Example

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Here is how the Water Depth given Maximum Horizontal Particle Excursion at Node equation looks like with Values.

Here is how the Water Depth given Maximum Horizontal Particle Excursion at Node equation looks like with Units.

Here is how the Water Depth given Maximum Horizontal Particle Excursion at Node equation looks like.

0.119 = \frac{9.8066}{{(2 \cdot 3.1416 \cdot \frac{7.88}{30} \cdot 5.5)}^{2}}

0.119m = \frac{9.8066m/s²}{{(2 \cdot 3.1416 \cdot \frac{7.88m}{30m} \cdot 5.5s)}^{2}}

0.119 = \frac{9.8066}{{(2 \cdot 3.1416 \cdot \frac{7.88}{30} \cdot 5.5)}^{2}}

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Water Depth given Maximum Horizontal Particle Excursion at Node Solution

Follow our step by step solution on how to calculate Water Depth given Maximum Horizontal Particle Excursion at Node?

FIRST Step Consider the formula

d = \frac{[g]}{{(2 \cdot π \cdot \frac{X}{H wave} \cdot T n)}^{2}}

Next Step Substitute values of Variables

∴

d = \frac{[g]}{{(2 \cdot π \cdot \frac{7.88m}{30m} \cdot 5.5s)}^{2}}

Next Step Substitute values of Constants

∴

d = \frac{9.8066m/s²}{{(2 \cdot 3.1416 \cdot \frac{7.88m}{30m} \cdot 5.5s)}^{2}}

Next Step Prepare to Evaluate

∴

d = \frac{9.8066}{{(2 \cdot 3.1416 \cdot \frac{7.88}{30} \cdot 5.5)}^{2}}

Next Step Evaluate

∴

d = 0.119021558938243m

LAST Step Rounding Answer

∴

d = 0.119m

Water Depth given Maximum Horizontal Particle Excursion at Node Formula Elements

Variables

Constants

Water Depth at Harbor

Water Depth at Harbor is the vertical distance from the water surface to the seabed or bottom of the harbor.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Water Depth at Harbor

Maximum Horizontal Particle Excursion

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.

Symbol: X

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Maximum Horizontal Particle Excursion

Wave Height

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.

Symbol: H_wave

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wave Height

Natural Free Oscillating Period of a Basin

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.

Symbol: T_n

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Natural Free Oscillating Period of a Basin

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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 Water Depth at Harbor

Go Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode

d = \frac{{(2 \cdot \frac{L ba}{T n})}^{2}}{[g]}

Go Water Depth for given Period for Fundamental Mode

d = \frac{{(4 \cdot \frac{L ba}{T n})}^{2}}{[g]}

Other formulas in Harbor Oscillations category

Go Maximum Oscillation Period corresponding to Fundamental Mode

T 1 = 2 \cdot \frac{L ba}{\sqrt{[g] \cdot D}}

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

L ba = T 1 \cdot \frac{\sqrt{[g] \cdot D}}{2}

Go Period for Fundamental Mode

T n = \frac{4 \cdot L ba}{\sqrt{[g] \cdot d}}

Go Basin Length along Axis for given Period of Fundamental Mode

L ba = T n \cdot \frac{\sqrt{[g] \cdot d}}{4}

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

Water Depth given Maximum Horizontal Particle Excursion at Node evaluator uses Water Depth at Harbor = [g]/(2*pi*Maximum Horizontal Particle Excursion/Wave Height*Natural Free Oscillating Period of a Basin)^2 to evaluate 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 evaluate Water Depth given Maximum Horizontal Particle Excursion at Node using this online evaluator? To use this online evaluator 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.

FAQs on Water Depth given Maximum Horizontal Particle Excursion at Node

What is the formula to find Water Depth given Maximum Horizontal Particle Excursion at Node?

The formula of Water Depth given Maximum Horizontal Particle Excursion at Node is expressed as Water Depth at Harbor = [g]/(2*pi*Maximum Horizontal Particle Excursion/Wave Height*Natural Free Oscillating Period of a Basin)^2. Here is an example- 0.119022 = [g]/(2*pi*7.88/30*5.5)^2.

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

With Maximum Horizontal Particle Excursion (X), Wave Height (H_wave) & Natural Free Oscillating Period of a Basin (T_n) we can find Water Depth given Maximum Horizontal Particle Excursion at Node using the formula - Water Depth at Harbor = [g]/(2*pi*Maximum Horizontal Particle Excursion/Wave Height*Natural Free Oscillating Period of a Basin)^2. This formula also uses Gravitational acceleration on Earth, Archimedes' constant .

What are the other ways to Calculate Water Depth at Harbor?

Here are the different ways to Calculate Water Depth at Harbor-

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]

Can the Water Depth given Maximum Horizontal Particle Excursion at Node be negative?

Yes, the Water Depth given Maximum Horizontal Particle Excursion at Node, measured in Length can be negative.

Which unit is used to measure Water Depth given Maximum Horizontal Particle Excursion at Node?

Water Depth given Maximum Horizontal Particle Excursion at Node is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Water Depth given Maximum Horizontal Particle Excursion at Node can be measured.

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Water Depth given Maximum Horizontal Particle Excursion at Node Formula

​GoWater Depth given Maximum Oscillation Period corresponding to Fundamental Mode Formula

​GoWater Depth for given Period for Fundamental Mode Formula

Water Depth given Maximum Horizontal Particle Excursion at Node Example

Water Depth given Maximum Horizontal Particle Excursion at Node Solution

Water Depth given Maximum Horizontal Particle Excursion at Node Formula Elements

Other Formulas to find Water Depth at Harbor

Other formulas in Harbor Oscillations category

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

FAQs on Water Depth given Maximum Horizontal Particle Excursion at Node

Variable Name

GoWater Depth given Maximum Oscillation Period corresponding to Fundamental Mode Formula

GoWater Depth for given Period for Fundamental Mode Formula