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Natural Free Oscillating Period of Basin Formula

GoNatural Free Oscillating Period of Basin for Open Rectangular Basin 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}}

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

Natural Free Oscillating Period of Basin Example

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Here is how the Natural Free Oscillating Period of Basin equation looks like with Values.

Here is how the Natural Free Oscillating Period of Basin equation looks like with Units.

Here is how the Natural Free Oscillating Period of Basin equation looks like.

5.5 = \frac{2 \cdot 38.782}{1.3 \cdot \sqrt{9.8066 \cdot 12}}

5.5s = \frac{2 \cdot 38.782m}{1.3 \cdot \sqrt{9.8066m/s² \cdot 12m}}

5.5 = \frac{2 \cdot 38.782}{1.3 \cdot \sqrt{9.8066 \cdot 12}}

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Natural Free Oscillating Period of Basin Solution

Follow our step by step solution on how to calculate Natural Free Oscillating Period of Basin?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T n = \frac{2 \cdot 38.782m}{1.3 \cdot \sqrt{[g] \cdot 12m}}

Next Step Substitute values of Constants

∴

T n = \frac{2 \cdot 38.782m}{1.3 \cdot \sqrt{9.8066m/s² \cdot 12m}}

Next Step Prepare to Evaluate

∴

T n = \frac{2 \cdot 38.782}{1.3 \cdot \sqrt{9.8066 \cdot 12}}

Next Step Evaluate

∴

T n = 5.50004046326743s

LAST Step Rounding Answer

∴

T n = 5.5s

Natural Free Oscillating Period of 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

Length of the Basin

Length of the Basin is the longest dimension of a basin parallel to its principal drainage channel.

Symbol: l_B

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of the Basin

Number of Nodes along the Axis of a Basin

Number of Nodes along the Axis of a Basin refers to the count of specific points situated along central axis of basin, where basin axis represents the line of lowest elevation on the basin's surface.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

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

Water Depth

Water Depth between the surface and the seafloor as measured at mean lower low water.

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 Natural Free Oscillating Period of a Basin

Go Natural Free Oscillating Period of Basin for Open Rectangular Basin

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

Other formulas in Open Rectangular Basin and Seiches category

Go Length of Basin for Open Rectangular Basin

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

Go Number of Nodes along Axis of Basin for Open Rectangular Basin

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

Go Water Depth for Open Rectangular Basin

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

Go Length of Basin given Natural Free Oscillating Period of Basin

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

How to Evaluate Natural Free Oscillating Period of Basin?

Natural Free Oscillating Period of Basin evaluator uses Natural Free Oscillating Period of a Basin = (2*Length of the Basin)/(Number of Nodes along the Axis of a Basin*sqrt([g]*Water Depth)) to evaluate the Natural Free Oscillating Period of a Basin, The Natural Free Oscillating Period of Basin formula is defined as the one-dimensional case of closed rectangular basin with vertical walls and uniform depth. Natural Free Oscillating Period of a Basin is denoted by T_n symbol.

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

FAQs on Natural Free Oscillating Period of Basin

What is the formula to find Natural Free Oscillating Period of Basin?

The formula of Natural Free Oscillating Period of Basin is expressed as Natural Free Oscillating Period of a Basin = (2*Length of the Basin)/(Number of Nodes along the Axis of a Basin*sqrt([g]*Water Depth)). Here is an example- 5.50004 = (2*38.782)/(1.3*sqrt([g]*12)).

How to calculate Natural Free Oscillating Period of Basin?

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

Can the Natural Free Oscillating Period of Basin be negative?

Yes, the Natural Free Oscillating Period of Basin, measured in Time can be negative.

Which unit is used to measure Natural Free Oscillating Period of Basin?

Natural Free Oscillating Period of 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 Oscillating Period of Basin can be measured.

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Natural Free Oscillating Period of Basin Formula

​GoNatural Free Oscillating Period of Basin for Open Rectangular Basin Formula

Natural Free Oscillating Period of Basin Example

Natural Free Oscillating Period of Basin Solution

Natural Free Oscillating Period of Basin Formula Elements

Other Formulas to find Natural Free Oscillating Period of a Basin

Other formulas in Open Rectangular Basin and Seiches category

How to Evaluate Natural Free Oscillating Period of Basin?

FAQs on Natural Free Oscillating Period of Basin

Variable Name

GoNatural Free Oscillating Period of Basin for Open Rectangular Basin Formula