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Number of Nodes along Long Basin Axis in Open Basin Formula

GoNumber of Nodes along Long Basin Axis in Closed Basin Formula

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Number of Nodes along the Axis of a Basin refers to specific points or segments along a central line (axis) of a coastal basin or water body. Check FAQs

N = \frac{(\frac{4 \cdot L hbl}{T n \cdot \sqrt{[g] \cdot D}}) - 1}{2}

N - Number of Nodes along the Axis of a Basin?L_hbl - Harbor Basin Length?T_n - Natural Free Oscillating Period of a Basin?D - Water Depth?[g] - Gravitational acceleration on Earth?

Number of Nodes along Long Basin Axis in Open Basin Example

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Here is how the Number of Nodes along Long Basin Axis in Open Basin equation looks like with Values.

Here is how the Number of Nodes along Long Basin Axis in Open Basin equation looks like with Units.

Here is how the Number of Nodes along Long Basin Axis in Open Basin equation looks like.

0.8408 = \frac{(\frac{4 \cdot 40}{5.5 \cdot \sqrt{9.8066 \cdot 12}}) - 1}{2}

0.8408 = \frac{(\frac{4 \cdot 40m}{5.5s \cdot \sqrt{9.8066m/s² \cdot 12m}}) - 1}{2}

0.8408 = \frac{(\frac{4 \cdot 40}{5.5 \cdot \sqrt{9.8066 \cdot 12}}) - 1}{2}

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Number of Nodes along Long Basin Axis in Open Basin Solution

Follow our step by step solution on how to calculate Number of Nodes along Long Basin Axis in Open Basin?

FIRST Step Consider the formula

N = \frac{(\frac{4 \cdot L hbl}{T n \cdot \sqrt{[g] \cdot D}}) - 1}{2}

Next Step Substitute values of Variables

∴

N = \frac{(\frac{4 \cdot 40m}{5.5s \cdot \sqrt{[g] \cdot 12m}}) - 1}{2}

Next Step Substitute values of Constants

∴

N = \frac{(\frac{4 \cdot 40m}{5.5s \cdot \sqrt{9.8066m/s² \cdot 12m}}) - 1}{2}

Next Step Prepare to Evaluate

∴

N = \frac{(\frac{4 \cdot 40}{5.5 \cdot \sqrt{9.8066 \cdot 12}}) - 1}{2}

Next Step Evaluate

∴

N = 0.840838083693497

LAST Step Rounding Answer

∴

N = 0.8408

Number of Nodes along Long Basin Axis in Open Basin Formula Elements

Variables

Constants

Functions

Number of Nodes along the Axis of a Basin

Number of Nodes along the Axis of a Basin refers to specific points or segments along a central line (axis) of a coastal basin or water body.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Nodes along the Axis of a Basin

Harbor Basin Length

Harbor Basin Length is the distance measured along the longitudinal axis of the harbor basin, which is the sheltered area of water where ships are moored.

Symbol: L_hbl

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Harbor Basin Length

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Number of Nodes along the Axis of a Basin

Go Number of Nodes along Long Basin Axis in Closed Basin

N = \frac{2 \cdot L hbl}{T n \cdot \sqrt{[g] \cdot D}}

Other formulas in Open and Closed Basins category

Go Basin Length along Axis for Closed Basin

L ba = T n \cdot N \cdot \frac{\sqrt{[g] \cdot d}}{2}

How to Evaluate Number of Nodes along Long Basin Axis in Open Basin?

Number of Nodes along Long Basin Axis in Open Basin evaluator uses Number of Nodes along the Axis of a Basin = (((4*Harbor Basin Length)/(Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth)))-1)/2 to evaluate the Number of Nodes along the Axis of a Basin, The Number of nodes along Long Basin axis in Open Basin formula is defined as the parameter influencing general expression for free oscillation period, fundamental mode of resonant oscillation occurs when there is one-quarter of wave in basin. Number of Nodes along the Axis of a Basin is denoted by N symbol.

How to evaluate Number of Nodes along Long Basin Axis in Open Basin using this online evaluator? To use this online evaluator for Number of Nodes along Long Basin Axis in Open Basin, enter Harbor Basin Length (L_hbl), Natural Free Oscillating Period of a Basin (T_n) & Water Depth (D) and hit the calculate button.

FAQs on Number of Nodes along Long Basin Axis in Open Basin

What is the formula to find Number of Nodes along Long Basin Axis in Open Basin?

The formula of Number of Nodes along Long Basin Axis in Open Basin is expressed as Number of Nodes along the Axis of a Basin = (((4*Harbor Basin Length)/(Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth)))-1)/2. Here is an example- 0.840838 = (((4*40)/(5.5*sqrt([g]*12)))-1)/2.

How to calculate Number of Nodes along Long Basin Axis in Open Basin?

With Harbor Basin Length (L_hbl), Natural Free Oscillating Period of a Basin (T_n) & Water Depth (D) we can find Number of Nodes along Long Basin Axis in Open Basin using the formula - Number of Nodes along the Axis of a Basin = (((4*Harbor Basin Length)/(Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth)))-1)/2. This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

What are the other ways to Calculate Number of Nodes along the Axis of a Basin?

Here are the different ways to Calculate Number of Nodes along the Axis of a Basin-

Number of Nodes along the Axis of a Basin=(2*Harbor Basin Length)/(Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth))

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Number of Nodes along Long Basin Axis in Open Basin Formula

​GoNumber of Nodes along Long Basin Axis in Closed Basin Formula

Number of Nodes along Long Basin Axis in Open Basin Example

Number of Nodes along Long Basin Axis in Open Basin Solution

Number of Nodes along Long Basin Axis in Open Basin Formula Elements

Other Formulas to find Number of Nodes along the Axis of a Basin

Other formulas in Open and Closed Basins category

How to Evaluate Number of Nodes along Long Basin Axis in Open Basin?

FAQs on Number of Nodes along Long Basin Axis in Open Basin

Variable Name

GoNumber of Nodes along Long Basin Axis in Closed Basin Formula