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Length of Basin given Natural Free Oscillating Period of Basin Formula

GoLength of Basin for Open Rectangular Basin Formula

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

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

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

Length of Basin given Natural Free Oscillating Period of Basin Example

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

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

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

38.7817 = \frac{5.5 \cdot 1.3 \cdot \sqrt{9.8066 \cdot 12}}{2}

38.7817m = \frac{5.5s \cdot 1.3 \cdot \sqrt{9.8066m/s² \cdot 12m}}{2}

38.7817 = \frac{5.5 \cdot 1.3 \cdot \sqrt{9.8066 \cdot 12}}{2}

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Length of Basin given Natural Free Oscillating Period of Basin Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l B = \frac{5.5s \cdot 1.3 \cdot \sqrt{[g] \cdot 12m}}{2}

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

l B = 38.7817146845649m

LAST Step Rounding Answer

∴

l B = 38.7817m

Length of Basin given Natural Free Oscillating Period of Basin Formula Elements

Variables

Constants

Functions

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

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 Length of the Basin

Go Length of Basin for Open Rectangular Basin

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

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 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 Natural Free Oscillating Period of Basin

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

How to Evaluate Length of Basin given Natural Free Oscillating Period of Basin?

Length of Basin given Natural Free Oscillating Period of Basin evaluator uses Length of the Basin = (Natural Free Oscillating Period of a Basin*Number of Nodes along the Axis of a Basin*sqrt([g]*Water Depth))/2 to evaluate the Length of the Basin, The Length of Basin given Natural Free Oscillating Period of Basin formula is defined as the Length in a straight line from the mouth of a stream to the farthest point on the drainage divide of its basin. Length of the Basin is denoted by l_B symbol.

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

FAQs on Length of Basin given Natural Free Oscillating Period of Basin

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

The formula of Length of Basin given Natural Free Oscillating Period of Basin is expressed as Length of the Basin = (Natural Free Oscillating Period of a Basin*Number of Nodes along the Axis of a Basin*sqrt([g]*Water Depth))/2. Here is an example- 38.78171 = (5.5*1.3*sqrt([g]*12))/2.

How to calculate Length of Basin given Natural Free Oscillating Period of Basin?

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

What are the other ways to Calculate Length of the Basin?

Here are the different ways to Calculate Length of the Basin-

Length of the Basin=Natural Free Oscillating Period of a Basin*(1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Water Depth)/4

Can the Length of Basin given Natural Free Oscillating Period of Basin be negative?

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

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

Length of Basin given Natural Free Oscillating Period of Basin is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Basin given Natural Free Oscillating Period of Basin can be measured.

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: Unit

Length of Basin given Natural Free Oscillating Period of Basin Formula

​GoLength of Basin for Open Rectangular Basin Formula

Length of Basin given Natural Free Oscillating Period of Basin Example

Length of Basin given Natural Free Oscillating Period of Basin Solution

Length of Basin given Natural Free Oscillating Period of Basin Formula Elements

Other Formulas to find Length of the Basin

Other formulas in Open Rectangular Basin and Seiches category

How to Evaluate Length of Basin given Natural Free Oscillating Period of Basin?

FAQs on Length of Basin given Natural Free Oscillating Period of Basin

Variable Name

GoLength of Basin for Open Rectangular Basin Formula