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Number of Nodes along Axis of Basin given Natural Free Oscillating Period of Basin Formula

GoNumber of Nodes along Axis of Basin for Open Rectangular Basin Formula

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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. Check FAQs

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

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

Number of Nodes along Axis of Basin given Natural Free Oscillating Period of Basin Example

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Here is how the Number of Nodes along Axis of Basin given Natural Free Oscillating Period of Basin equation looks like with Values.

Here is how the Number of Nodes along Axis of Basin given Natural Free Oscillating Period of Basin equation looks like with Units.

Here is how the Number of Nodes along Axis of Basin given Natural Free Oscillating Period of Basin equation looks like.

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

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

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

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Number of Nodes along Axis of Basin given Natural Free Oscillating Period of Basin Solution

Follow our step by step solution on how to calculate Number of Nodes along Axis of Basin given Natural Free Oscillating Period of Basin?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

N = \frac{2 \cdot 38.782m}{5.5s \cdot \sqrt{[g] \cdot 12m}}

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

N = 1.30000956404503

LAST Step Rounding Answer

∴

N = 1.3

Number of Nodes along Axis of Basin given Natural Free Oscillating Period of 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 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

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

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 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 Number of Nodes along the Axis of a Basin

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}

Other formulas in Open Rectangular Basin and Seiches category

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}}

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 Water Depth for Open Rectangular Basin

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

Go Natural Free Oscillating Period of Basin

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

How to Evaluate Number of Nodes along Axis of Basin given Natural Free Oscillating Period of Basin?

Number of Nodes along Axis of Basin given Natural Free Oscillating Period of Basin evaluator uses Number of Nodes along the Axis of a Basin = (2*Length of the Basin)/(Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth)) to evaluate the Number of Nodes along the Axis of a Basin, The Number of Nodes along Axis of Basin given Natural Free Oscillating Period of Basin formula is defined as the nodes (locations of no vertical deflection) are located at interior points and antinodes (locations of maximum deflection) are located on the boundaries of the basin. Number of Nodes along the Axis of a Basin is denoted by N symbol.

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

FAQs on Number of Nodes along Axis of Basin given Natural Free Oscillating Period of Basin

What is the formula to find Number of Nodes along Axis of Basin given Natural Free Oscillating Period of Basin?

The formula of Number of Nodes along Axis of Basin given Natural Free Oscillating Period of Basin is expressed as Number of Nodes along the Axis of a Basin = (2*Length of the Basin)/(Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth)). Here is an example- 1.30001 = (2*38.782)/(5.5*sqrt([g]*12)).

How to calculate Number of Nodes along Axis of Basin given Natural Free Oscillating Period of Basin?

With Length of the Basin (l_B), Natural Free Oscillating Period of a Basin (T_n) & Water Depth (D) we can find Number of Nodes along Axis of Basin given Natural Free Oscillating Period of Basin using the formula - Number of Nodes along the Axis of a Basin = (2*Length of the Basin)/(Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth)). 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=((4*Length of the Basin/(Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth)))-1)/2

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Number of Nodes along Axis of Basin given Natural Free Oscillating Period of Basin Formula

​GoNumber of Nodes along Axis of Basin for Open Rectangular Basin Formula

Number of Nodes along Axis of Basin given Natural Free Oscillating Period of Basin Example

Number of Nodes along Axis of Basin given Natural Free Oscillating Period of Basin Solution

Number of Nodes along Axis of Basin given Natural Free Oscillating Period of Basin Formula Elements

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

Other formulas in Open Rectangular Basin and Seiches category

How to Evaluate Number of Nodes along Axis of Basin given Natural Free Oscillating Period of Basin?

FAQs on Number of Nodes along Axis of Basin given Natural Free Oscillating Period of Basin

Variable Name

GoNumber of Nodes along Axis of Basin for Open Rectangular Basin Formula