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Average Horizontal Velocity at Node Formula

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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. Check FAQs

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

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

Average Horizontal Velocity at Node Example

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

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

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

49.7575 = \frac{1.01 \cdot 26.8}{3.1416} \cdot 1.05 \cdot 5.5

49.7575m/s = \frac{1.01m \cdot 26.8m}{3.1416} \cdot 1.05m \cdot 5.5s

49.7575 = \frac{1.01 \cdot 26.8}{3.1416} \cdot 1.05 \cdot 5.5

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Average Horizontal Velocity at Node Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V' = \frac{1.01m \cdot 26.8m}{π} \cdot 1.05m \cdot 5.5s

Next Step Substitute values of Constants

∴

V' = \frac{1.01m \cdot 26.8m}{3.1416} \cdot 1.05m \cdot 5.5s

Next Step Prepare to Evaluate

∴

V' = \frac{1.01 \cdot 26.8}{3.1416} \cdot 1.05 \cdot 5.5

Next Step Evaluate

∴

V' = 49.7574692955119m/s

LAST Step Rounding Answer

∴

V' = 49.7575m/s

Average Horizontal Velocity at Node Formula Elements

Variables

Constants

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

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

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

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 Horizontal Velocity at Node

V max = (\frac{H w}{2}) \cdot \sqrt{\frac{[g]}{D w}}

Go Standing Wave Height given Maximum Horizontal Velocity at Node

H w = (\frac{V max}{\sqrt{\frac{[g]}{D w}}}) \cdot 2

Go Water Depth given Maximum Horizontal Velocity at Node

D w = \frac{[g]}{{(\frac{V max}{\frac{H w}{2}})}^{2}}

Go Resonant Period for Helmholtz Mode

T H = (2 \cdot π) \cdot \sqrt{(L ch + l' c) \cdot \frac{A b}{[g] \cdot A C}}

How to Evaluate Average Horizontal Velocity at Node?

Average Horizontal Velocity at Node evaluator uses Average Horizontal Velocity at a Node = (Standing Wave Height of Ocean*Wavelength)/pi*Water Depth at Harbor*Natural Free Oscillating Period of a Basin to evaluate the Average Horizontal Velocity at a Node, The Average Horizontal Velocity at Node formula is defined as the average velocity of the fluid flow in the horizontal direction (typically x-direction or east-west direction) at that particular node. Average Horizontal Velocity at a Node is denoted by V' symbol.

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

FAQs on Average Horizontal Velocity at Node

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

The formula of Average Horizontal Velocity at Node is expressed as Average Horizontal Velocity at a Node = (Standing Wave Height of Ocean*Wavelength)/pi*Water Depth at Harbor*Natural Free Oscillating Period of a Basin. Here is an example- 49.75747 = (1.01*26.8)/pi*1.05*5.5.

How to calculate Average Horizontal Velocity at Node?

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

Can the Average Horizontal Velocity at Node be negative?

Yes, the Average Horizontal Velocity at Node, measured in Speed can be negative.

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

Average Horizontal Velocity at Node is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Average Horizontal Velocity at Node can be measured.

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Average Horizontal Velocity at Node Formula

Average Horizontal Velocity at Node Example

Average Horizontal Velocity at Node Solution

Average Horizontal Velocity at Node Formula Elements

Other formulas in Harbor Oscillations category

How to Evaluate Average Horizontal Velocity at Node?

FAQs on Average Horizontal Velocity at Node

Variable Name