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Natural Free Oscillation Period for Closed Basin Formula

GoNatural Free Oscillation Period for Open Basin Formula

GoNatural Free Oscillation Period Formula

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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. Check FAQs

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

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

Natural Free Oscillation Period for Closed Basin Example

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Here is how the Natural Free Oscillation Period for Closed Basin equation looks like with Values.

Here is how the Natural Free Oscillation Period for Closed Basin equation looks like with Units.

Here is how the Natural Free Oscillation Period for Closed Basin equation looks like.

8.6135 = \frac{2 \cdot 180}{1.3 \cdot \sqrt{9.8066 \cdot 105.4}}

8.6135s = \frac{2 \cdot 180m}{1.3 \cdot \sqrt{9.8066m/s² \cdot 105.4m}}

8.6135 = \frac{2 \cdot 180}{1.3 \cdot \sqrt{9.8066 \cdot 105.4}}

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Natural Free Oscillation Period for Closed Basin Solution

Follow our step by step solution on how to calculate Natural Free Oscillation Period for Closed Basin?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T n = \frac{2 \cdot 180m}{1.3 \cdot \sqrt{[g] \cdot 105.4m}}

Next Step Substitute values of Constants

∴

T n = \frac{2 \cdot 180m}{1.3 \cdot \sqrt{9.8066m/s² \cdot 105.4m}}

Next Step Prepare to Evaluate

∴

T n = \frac{2 \cdot 180}{1.3 \cdot \sqrt{9.8066 \cdot 105.4}}

Next Step Evaluate

∴

T n = 8.61347713579559s

LAST Step Rounding Answer

∴

T n = 8.6135s

Natural Free Oscillation Period for Closed Basin Formula Elements

Variables

Constants

Functions

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

Basin Length

Basin Length is the horizontal distance or extent of a water body, such as a bay, estuary, or lagoon. It is an important parameter in the design and analysis of coastal structures.

Symbol: L_B

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Basin Length

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 to find Natural Free Oscillating Period of a Basin

Go Natural Free Oscillation Period for Open Basin

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

Go Natural Free Oscillation Period

T n = (\frac{2}{\sqrt{[g] \cdot d}}) \cdot {({(\frac{n}{l 1})}^{2} + {(\frac{m}{l 2})}^{2})}^{- 0.5}

Other formulas in Free Oscillation Period 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 Natural Free Oscillation Period for Closed Basin?

Natural Free Oscillation Period for Closed Basin evaluator uses Natural Free Oscillating Period of a Basin = (2*Basin Length)/(Number of Nodes along the Axis of a Basin*sqrt([g]*Depth of Water)) to evaluate the Natural Free Oscillating Period of a Basin, The Natural Free Oscillation Period for Closed Basin formula is defined as the time it takes for a waterbody within a closed or semi-enclosed basin, like a bay or a lagoon, to undergo a complete cycle of oscillation when disturbed from its equilibrium state. Natural Free Oscillating Period of a Basin is denoted by T_n symbol.

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

FAQs on Natural Free Oscillation Period for Closed Basin

What is the formula to find Natural Free Oscillation Period for Closed Basin?

The formula of Natural Free Oscillation Period for Closed Basin is expressed as Natural Free Oscillating Period of a Basin = (2*Basin Length)/(Number of Nodes along the Axis of a Basin*sqrt([g]*Depth of Water)). Here is an example- 5.59876 = (2*180)/(1.3*sqrt([g]*105.4)).

How to calculate Natural Free Oscillation Period for Closed Basin?

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

What are the other ways to Calculate Natural Free Oscillating Period of a Basin?

Here are the different ways to Calculate Natural Free Oscillating Period of a Basin-

Natural Free Oscillating Period of a Basin=4*Basin Length/((1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Depth of Water))
Natural Free Oscillating Period of a Basin=(2/sqrt([g]*Water Depth at Harbor))*((Number of Nodes along the X-axis of Basin/Basin Dimensions along the X-axis)^2+(Number of Nodes along the Y-axis of Basin/Basin Dimensions along the Y-axis)^2)^-0.5

Can the Natural Free Oscillation Period for Closed Basin be negative?

Yes, the Natural Free Oscillation Period for Closed Basin, measured in Time can be negative.

Which unit is used to measure Natural Free Oscillation Period for Closed Basin?

Natural Free Oscillation Period for Closed Basin is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Natural Free Oscillation Period for Closed Basin can be measured.

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