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Water Depth given Natural Free Oscillation Period Formula

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Water Depth is the vertical distance from the surface of a water body (such as an ocean, sea, or lake) to the bottom. Check FAQs

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

D - Water Depth?L_hbl - Harbor Basin Length?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 Oscillation Period Example

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

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

Here is how the Water Depth given Natural Free Oscillation Period equation looks like.

12.7658 = \frac{{(\frac{2 \cdot 40}{5.5 \cdot 1.3})}^{2}}{9.8066}

12.7658m = \frac{{(\frac{2 \cdot 40m}{5.5s \cdot 1.3})}^{2}}{9.8066m/s²}

12.7658 = \frac{{(\frac{2 \cdot 40}{5.5 \cdot 1.3})}^{2}}{9.8066}

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Water Depth given Natural Free Oscillation Period Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D = \frac{{(\frac{2 \cdot 40m}{5.5s \cdot 1.3})}^{2}}{[g]}

Next Step Substitute values of Constants

∴

D = \frac{{(\frac{2 \cdot 40m}{5.5s \cdot 1.3})}^{2}}{9.8066m/s²}

Next Step Prepare to Evaluate

∴

D = \frac{{(\frac{2 \cdot 40}{5.5 \cdot 1.3})}^{2}}{9.8066}

Next Step Evaluate

∴

D = 12.7657758581031m

LAST Step Rounding Answer

∴

D = 12.7658m

Water Depth given Natural Free Oscillation Period Formula Elements

Variables

Constants

Water Depth

Water Depth is the vertical distance from the surface of a water body (such as an ocean, sea, or lake) to the bottom.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Water Depth

Harbor Basin Length

Harbor Basin Length is the distance measured along the longitudinal axis of the harbor basin, which is the sheltered area of water where ships are moored.

Symbol: L_hbl

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Harbor Basin Length

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 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

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 in Free Oscillation Period category

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}

Go Natural Free Oscillation period given Maximum Horizontal Particle Excursion at Node

T n = \frac{2 \cdot π \cdot X}{H wave \cdot \sqrt{\frac{[g]}{D w}}}

Go Natural Free Oscillation Period for Average Horizontal Velocity at Node

T n = \frac{H wave \cdot λ}{V' \cdot π \cdot d}

Go Natural Free Oscillation Period for Closed Basin

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

How to Evaluate Water Depth given Natural Free Oscillation Period?

Water Depth given Natural Free Oscillation Period evaluator uses Water Depth = (((2*Harbor Basin Length)/(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 Oscillation Period formula is defined as depth parameter influencing the natural free oscillation period involve standing waves in shallow water. Water Depth is denoted by D symbol.

How to evaluate Water Depth given Natural Free Oscillation Period using this online evaluator? To use this online evaluator for Water Depth given Natural Free Oscillation Period, enter Harbor Basin Length (L_hbl), 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 Oscillation Period

What is the formula to find Water Depth given Natural Free Oscillation Period?

The formula of Water Depth given Natural Free Oscillation Period is expressed as Water Depth = (((2*Harbor Basin Length)/(Natural Free Oscillating Period of a Basin*Number of Nodes along the Axis of a Basin))^2)/[g]. Here is an example- 12.76578 = (((2*40)/(5.5*1.3))^2)/[g].

How to calculate Water Depth given Natural Free Oscillation Period?

With Harbor Basin Length (L_hbl), 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 Oscillation Period using the formula - Water Depth = (((2*Harbor Basin Length)/(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).

Can the Water Depth given Natural Free Oscillation Period be negative?

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

Which unit is used to measure Water Depth given Natural Free Oscillation Period?

Water Depth given Natural Free Oscillation Period 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 Oscillation Period can be measured.

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Water Depth given Natural Free Oscillation Period Formula

Water Depth given Natural Free Oscillation Period Example

Water Depth given Natural Free Oscillation Period Solution

Water Depth given Natural Free Oscillation Period Formula Elements

Other formulas in Free Oscillation Period category

How to Evaluate Water Depth given Natural Free Oscillation Period?

FAQs on Water Depth given Natural Free Oscillation Period

Variable Name