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Basin Length along Axis in Open Basin Formula

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Length of Open Basin along Axis refers to the distance or extent of an open water basin (such as a bay, harbor, or estuary) measured along its primary axis. Check FAQs

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

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

Basin Length along Axis in Open Basin Example

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Here is how the Basin Length along Axis in Open Basin equation looks like with Values.

Here is how the Basin Length along Axis in Open Basin equation looks like with Units.

Here is how the Basin Length along Axis in Open Basin equation looks like.

159.1424 = \frac{5.5 \cdot (1 + (2 \cdot 1.3)) \cdot \sqrt{9.8066 \cdot 105.4}}{4}

159.1424m = \frac{5.5s \cdot (1 + (2 \cdot 1.3)) \cdot \sqrt{9.8066m/s² \cdot 105.4m}}{4}

159.1424 = \frac{5.5 \cdot (1 + (2 \cdot 1.3)) \cdot \sqrt{9.8066 \cdot 105.4}}{4}

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Basin Length along Axis in Open Basin Solution

Follow our step by step solution on how to calculate Basin Length along Axis in Open Basin?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L b = \frac{5.5s \cdot (1 + (2 \cdot 1.3)) \cdot \sqrt{[g] \cdot 105.4m}}{4}

Next Step Substitute values of Constants

∴

L b = \frac{5.5s \cdot (1 + (2 \cdot 1.3)) \cdot \sqrt{9.8066m/s² \cdot 105.4m}}{4}

Next Step Prepare to Evaluate

∴

L b = \frac{5.5 \cdot (1 + (2 \cdot 1.3)) \cdot \sqrt{9.8066 \cdot 105.4}}{4}

Next Step Evaluate

∴

L b = 159.142377597154m

LAST Step Rounding Answer

∴

L b = 159.1424m

Basin Length along Axis in Open Basin Formula Elements

Variables

Constants

Functions

Length of Open Basin along Axis

Length of Open Basin along Axis refers to the distance or extent of an open water basin (such as a bay, harbor, or estuary) measured along its primary axis.

Symbol: L_b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Open Basin along Axis

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

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

Depth of Water

Depth of Water is the depth as measured from the water level to the bottom of the considered water body.

Symbol: D_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Water

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 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 Basin Length along Axis in Open Basin?

Basin Length along Axis in Open Basin evaluator uses Length of Open Basin along Axis = (Natural Free Oscillating Period of a Basin*(1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Depth of Water))/4 to evaluate the Length of Open Basin along Axis, The Basin Length along Axis in Open Basin formula is defined as maximum distance from watershed boundary to pour point influencing natural free oscillating period. Length of Open Basin along Axis is denoted by L_b symbol.

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

FAQs on Basin Length along Axis in Open Basin

What is the formula to find Basin Length along Axis in Open Basin?

The formula of Basin Length along Axis in Open Basin is expressed as Length of Open Basin along Axis = (Natural Free Oscillating Period of a Basin*(1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Depth of Water))/4. Here is an example- 159.1424 = (5.5*(1+(2*1.3))*sqrt([g]*105.4))/4.

How to calculate Basin Length along Axis in Open Basin?

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

Can the Basin Length along Axis in Open Basin be negative?

No, the Basin Length along Axis in Open Basin, measured in Length cannot be negative.

Which unit is used to measure Basin Length along Axis in Open Basin?

Basin Length along Axis in Open Basin is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Basin Length along Axis in Open Basin can be measured.

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