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Wave Length for Average Horizontal Velocity at Node Formula

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

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

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

Wave Length for Average Horizontal Velocity at Node Example

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

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

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

30.0564 = \frac{49.7 \cdot 3.1416 \cdot 1.05 \cdot 5.5}{30}

30.0564m = \frac{49.7m/s \cdot 3.1416 \cdot 1.05m \cdot 5.5s}{30m}

30.0564 = \frac{49.7 \cdot 3.1416 \cdot 1.05 \cdot 5.5}{30}

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Wave Length for Average Horizontal Velocity at Node Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

λ = \frac{49.7m/s \cdot π \cdot 1.05m \cdot 5.5s}{30m}

Next Step Substitute values of Constants

∴

λ = \frac{49.7m/s \cdot 3.1416 \cdot 1.05m \cdot 5.5s}{30m}

Next Step Prepare to Evaluate

∴

λ = \frac{49.7 \cdot 3.1416 \cdot 1.05 \cdot 5.5}{30}

Next Step Evaluate

∴

λ = 30.056402315057m

LAST Step Rounding Answer

∴

λ = 30.0564m

Wave Length for Average Horizontal Velocity at Node Formula Elements

Variables

Constants

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

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

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

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 Wave Length for Average Horizontal Velocity at Node?

Wave Length for Average Horizontal Velocity at Node evaluator uses Wavelength = (Average Horizontal Velocity at a Node*pi*Water Depth at Harbor*Natural Free Oscillating Period of a Basin)/Wave Height to evaluate the Wavelength, The Wave Length for Average Horizontal Velocity at Node formula is defined as the distance between two identical points on successive waves, for example crest to crest, or trough to trough. Wavelength is denoted by λ symbol.

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

FAQs on Wave Length for Average Horizontal Velocity at Node

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

The formula of Wave Length for Average Horizontal Velocity at Node is expressed as Wavelength = (Average Horizontal Velocity at a Node*pi*Water Depth at Harbor*Natural Free Oscillating Period of a Basin)/Wave Height. Here is an example- 30.0564 = (49.7*pi*1.05*5.5)/30.

How to calculate Wave Length for Average Horizontal Velocity at Node?

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

Can the Wave Length for Average Horizontal Velocity at Node be negative?

Yes, the Wave Length for Average Horizontal Velocity at Node, measured in Length can be negative.

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

Wave Length for 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 Wave Length for Average Horizontal Velocity at Node can be measured.

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Wave Length for Average Horizontal Velocity at Node Formula

Wave Length for Average Horizontal Velocity at Node Example

Wave Length for Average Horizontal Velocity at Node Solution

Wave Length for Average Horizontal Velocity at Node Formula Elements

Other formulas in Harbor Oscillations category

How to Evaluate Wave Length for Average Horizontal Velocity at Node?

FAQs on Wave Length for Average Horizontal Velocity at Node

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