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Water Depth given Natural Free Oscillating Period of Basin Formula

GoWater Depth for Open Rectangular Basin Formula

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

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

D - Water Depth?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?[g] - Gravitational acceleration on Earth?

Water Depth given Natural Free Oscillating Period of Basin Example

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

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

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

12.0002 = \frac{{(2 \cdot \frac{38.782}{5.5 \cdot 1.3})}^{2}}{9.8066}

12.0002m = \frac{{(2 \cdot \frac{38.782m}{5.5s \cdot 1.3})}^{2}}{9.8066m/s²}

12.0002 = \frac{{(2 \cdot \frac{38.782}{5.5 \cdot 1.3})}^{2}}{9.8066}

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Water Depth given Natural Free Oscillating Period of Basin Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D = \frac{{(2 \cdot \frac{38.782m}{5.5s \cdot 1.3})}^{2}}{[g]}

Next Step Substitute values of Constants

∴

D = \frac{{(2 \cdot \frac{38.782m}{5.5s \cdot 1.3})}^{2}}{9.8066m/s²}

Next Step Prepare to Evaluate

∴

D = \frac{{(2 \cdot \frac{38.782}{5.5 \cdot 1.3})}^{2}}{9.8066}

Next Step Evaluate

∴

D = 12.0001765676347m

LAST Step Rounding Answer

∴

D = 12.0002m

Water Depth given Natural Free Oscillating Period of Basin Formula Elements

Variables

Constants

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

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

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

Other Formulas to find Water Depth

Go Water Depth for Open Rectangular Basin

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

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 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 Natural Free Oscillating Period of Basin

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

How to Evaluate Water Depth given Natural Free Oscillating Period of Basin?

Water Depth given Natural Free Oscillating Period of Basin evaluator uses Water Depth = ((2*Length of the Basin/(Natural Free Oscillating Period of a Basin*Number of Nodes along the Axis of a Basin))^2)/[g] to evaluate the Water Depth, The Water Depth given Natural Free Oscillating Period of Basin formula is defined as the depth measured from the water level to the bottom under reference. Water Depth is denoted by D symbol.

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

FAQs on Water Depth given Natural Free Oscillating Period of Basin

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

The formula of Water Depth given Natural Free Oscillating Period of Basin is expressed as Water Depth = ((2*Length of the Basin/(Natural Free Oscillating Period of a Basin*Number of Nodes along the Axis of a Basin))^2)/[g]. Here is an example- 12.00018 = ((2*38.782/(5.5*1.3))^2)/[g].

How to calculate Water Depth given Natural Free Oscillating Period of Basin?

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

What are the other ways to Calculate Water Depth?

Here are the different ways to Calculate Water Depth-

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

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

No, the Water Depth given Natural Free Oscillating Period of Basin, measured in Length cannot be negative.

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

Water Depth 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 Water Depth given Natural Free Oscillating Period of Basin can be measured.

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Water Depth given Natural Free Oscillating Period of Basin Formula

​GoWater Depth for Open Rectangular Basin Formula

Water Depth given Natural Free Oscillating Period of Basin Example

Water Depth given Natural Free Oscillating Period of Basin Solution

Water Depth given Natural Free Oscillating Period of Basin Formula Elements

Other Formulas to find Water Depth

Other formulas in Open Rectangular Basin and Seiches category

How to Evaluate Water Depth given Natural Free Oscillating Period of Basin?

FAQs on Water Depth given Natural Free Oscillating Period of Basin

Variable Name

GoWater Depth for Open Rectangular Basin Formula