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Water Depth given Average Horizontal Velocity at Node Formula

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Water Depth is the vertical distance from the surface of a water body (such as an ocean, sea, or lake) to the bottom. Check FAQs

D = \frac{H w \cdot λ}{V'} \cdot π \cdot T n

D - Water Depth?H_w - Standing Wave Height of Ocean?λ - Wavelength?V' - Average Horizontal Velocity at a Node?T_n - Natural Free Oscillating Period of a Basin?π - Archimedes' constant?

Water Depth given Average Horizontal Velocity at Node Example

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Here is how the Water Depth given Average Horizontal Velocity at Node equation looks like with Values.

Here is how the Water Depth given Average Horizontal Velocity at Node equation looks like with Units.

Here is how the Water Depth given Average Horizontal Velocity at Node equation looks like.

9.4105 = \frac{1.01 \cdot 26.8}{49.7} \cdot 3.1416 \cdot 5.5

9.4105m = \frac{1.01m \cdot 26.8m}{49.7m/s} \cdot 3.1416 \cdot 5.5s

9.4105 = \frac{1.01 \cdot 26.8}{49.7} \cdot 3.1416 \cdot 5.5

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Water Depth given Average Horizontal Velocity at Node Solution

Follow our step by step solution on how to calculate Water Depth given Average Horizontal Velocity at Node?

FIRST Step Consider the formula

D = \frac{H w \cdot λ}{V'} \cdot π \cdot T n

Next Step Substitute values of Variables

∴

D = \frac{1.01m \cdot 26.8m}{49.7m/s} \cdot π \cdot 5.5s

Next Step Substitute values of Constants

∴

D = \frac{1.01m \cdot 26.8m}{49.7m/s} \cdot 3.1416 \cdot 5.5s

Next Step Prepare to Evaluate

∴

D = \frac{1.01 \cdot 26.8}{49.7} \cdot 3.1416 \cdot 5.5

Next Step Evaluate

∴

D = 9.41049224769672m

LAST Step Rounding Answer

∴

D = 9.4105m

Water Depth given Average Horizontal Velocity at Node Formula Elements

Variables

Constants

Water Depth

Water Depth is the vertical distance from the surface of a water body (such as an ocean, sea, or lake) to the bottom.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Water Depth

Standing Wave Height of Ocean

Standing Wave Height of Ocean results when two equal waves are going in opposite direction.

Symbol: H_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Standing Wave Height of Ocean

Wavelength

Wavelength is the distance between two successive crests or troughs of a wave.

Symbol: λ

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wavelength

Average Horizontal Velocity at a Node

Average Horizontal Velocity at a Node refers to the average velocity of the fluid flow in the horizontal direction (typically x-direction or east-west direction) at that particular node.

Symbol: V'

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Average Horizontal Velocity at a Node

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

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 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 Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode

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

Go Period for Fundamental Mode

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

How to Evaluate Water Depth given Average Horizontal Velocity at Node?

Water Depth given Average Horizontal Velocity at Node evaluator uses Water Depth = (Standing Wave Height of Ocean*Wavelength)/Average Horizontal Velocity at a Node*pi*Natural Free Oscillating Period of a Basin to evaluate the Water Depth, The Water Depth given Average Horizontal Velocity at Node formula is defined as depth parameter influencing the natural free oscillation period, The number of nodes in the basin n does not include the node at the entrance. Water Depth is denoted by D symbol.

How to evaluate Water Depth given Average Horizontal Velocity at Node using this online evaluator? To use this online evaluator for Water Depth given Average Horizontal Velocity at Node, enter Standing Wave Height of Ocean (H_w), Wavelength (λ), Average Horizontal Velocity at a Node (V') & Natural Free Oscillating Period of a Basin (T_n) and hit the calculate button.

FAQs on Water Depth given Average Horizontal Velocity at Node

What is the formula to find Water Depth given Average Horizontal Velocity at Node?

The formula of Water Depth given Average Horizontal Velocity at Node is expressed as Water Depth = (Standing Wave Height of Ocean*Wavelength)/Average Horizontal Velocity at a Node*pi*Natural Free Oscillating Period of a Basin. Here is an example- 9.410492 = (1.01*26.8)/49.7*pi*5.5.

How to calculate Water Depth given Average Horizontal Velocity at Node?

With Standing Wave Height of Ocean (H_w), Wavelength (λ), Average Horizontal Velocity at a Node (V') & Natural Free Oscillating Period of a Basin (T_n) we can find Water Depth given Average Horizontal Velocity at Node using the formula - Water Depth = (Standing Wave Height of Ocean*Wavelength)/Average Horizontal Velocity at a Node*pi*Natural Free Oscillating Period of a Basin. This formula also uses Archimedes' constant .

Can the Water Depth given Average Horizontal Velocity at Node be negative?

No, the Water Depth given Average Horizontal Velocity at Node, measured in Length cannot be negative.

Which unit is used to measure Water Depth given Average Horizontal Velocity at Node?

Water Depth given Average Horizontal Velocity 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 Average Horizontal Velocity at Node can be measured.

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Water Depth given Average Horizontal Velocity at Node Formula

Water Depth given Average Horizontal Velocity at Node Example

Water Depth given Average Horizontal Velocity at Node Solution

Water Depth given Average Horizontal Velocity at Node Formula Elements

Other formulas in Harbor Oscillations category

How to Evaluate Water Depth given Average Horizontal Velocity at Node?

FAQs on Water Depth given Average Horizontal Velocity at Node

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