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Water Depth for given Period for Fundamental Mode Formula

GoWater Depth given Maximum Oscillation Period corresponding to Fundamental Mode Formula

GoWater Depth given Maximum Horizontal Particle Excursion at Node Formula

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Water Depth at Harbor is the vertical distance from the water surface to the seabed or bottom of the harbor. Check FAQs

d = \frac{{(4 \cdot \frac{L ba}{T n})}^{2}}{[g]}

d - Water Depth at Harbor?L_ba - Length of Basin along Axis?T_n - Natural Free Oscillating Period of a Basin?[g] - Gravitational acceleration on Earth?

Water Depth for given Period for Fundamental Mode Example

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Here is how the Water Depth for given Period for Fundamental Mode equation looks like with Values.

Here is how the Water Depth for given Period for Fundamental Mode equation looks like with Units.

Here is how the Water Depth for given Period for Fundamental Mode equation looks like.

1.0489 = \frac{{(4 \cdot \frac{4.41}{5.5})}^{2}}{9.8066}

1.0489m = \frac{{(4 \cdot \frac{4.41m}{5.5s})}^{2}}{9.8066m/s²}

1.0489 = \frac{{(4 \cdot \frac{4.41}{5.5})}^{2}}{9.8066}

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Water Depth for given Period for Fundamental Mode Solution

Follow our step by step solution on how to calculate Water Depth for given Period for Fundamental Mode?

FIRST Step Consider the formula

d = \frac{{(4 \cdot \frac{L ba}{T n})}^{2}}{[g]}

Next Step Substitute values of Variables

∴

d = \frac{{(4 \cdot \frac{4.41m}{5.5s})}^{2}}{[g]}

Next Step Substitute values of Constants

∴

d = \frac{{(4 \cdot \frac{4.41m}{5.5s})}^{2}}{9.8066m/s²}

Next Step Prepare to Evaluate

∴

d = \frac{{(4 \cdot \frac{4.41}{5.5})}^{2}}{9.8066}

Next Step Evaluate

∴

d = 1.04894111109374m

LAST Step Rounding Answer

∴

d = 1.0489m

Water Depth for given Period for Fundamental Mode Formula Elements

Variables

Constants

Water Depth at Harbor

Water Depth at Harbor is the vertical distance from the water surface to the seabed or bottom of the harbor.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Water Depth at Harbor

Length of Basin along Axis

Length of Basin along Axis refers to the distance from one end of the basin to the other, typically measured along the longest axis.

Symbol: L_ba

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Basin along Axis

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

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 at Harbor

Go Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode

d = \frac{{(2 \cdot \frac{L ba}{T n})}^{2}}{[g]}

Go Water Depth given Maximum Horizontal Particle Excursion at Node

d = \frac{[g]}{{(2 \cdot π \cdot \frac{X}{H wave} \cdot T n)}^{2}}

Other formulas in Harbor Oscillations category

Go Maximum Oscillation Period corresponding to Fundamental Mode

T 1 = 2 \cdot \frac{L ba}{\sqrt{[g] \cdot D}}

Go Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode

L ba = T 1 \cdot \frac{\sqrt{[g] \cdot D}}{2}

Go Period for Fundamental Mode

T n = \frac{4 \cdot L ba}{\sqrt{[g] \cdot d}}

Go Basin Length along Axis for given Period of Fundamental Mode

L ba = T n \cdot \frac{\sqrt{[g] \cdot d}}{4}

How to Evaluate Water Depth for given Period for Fundamental Mode?

Water Depth for given Period for Fundamental Mode evaluator uses Water Depth at Harbor = ((4*Length of Basin along Axis/Natural Free Oscillating Period of a Basin)^2)/[g] to evaluate the Water Depth at Harbor, The Water Depth for given Period for Fundamental Mode formula is defined as depth parameter influencing the natural free oscillation period, The number of nodes in the basin does not include the node at the entrance. Water Depth at Harbor is denoted by d symbol.

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

FAQs on Water Depth for given Period for Fundamental Mode

What is the formula to find Water Depth for given Period for Fundamental Mode?

The formula of Water Depth for given Period for Fundamental Mode is expressed as Water Depth at Harbor = ((4*Length of Basin along Axis/Natural Free Oscillating Period of a Basin)^2)/[g]. Here is an example- 48.54186 = ((4*4.41/5.5)^2)/[g].

How to calculate Water Depth for given Period for Fundamental Mode?

With Length of Basin along Axis (L_ba) & Natural Free Oscillating Period of a Basin (T_n) we can find Water Depth for given Period for Fundamental Mode using the formula - Water Depth at Harbor = ((4*Length of Basin along Axis/Natural Free Oscillating Period of a Basin)^2)/[g]. This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Water Depth at Harbor?

Here are the different ways to Calculate Water Depth at Harbor-

Water Depth at Harbor=(2*Length of Basin along Axis/Natural Free Oscillating Period of a Basin)^2/[g]
Water Depth at Harbor=[g]/(2*pi*Maximum Horizontal Particle Excursion/Wave Height*Natural Free Oscillating Period of a Basin)^2

Can the Water Depth for given Period for Fundamental Mode be negative?

Yes, the Water Depth for given Period for Fundamental Mode, measured in Length can be negative.

Which unit is used to measure Water Depth for given Period for Fundamental Mode?

Water Depth for given Period for Fundamental Mode is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Water Depth for given Period for Fundamental Mode can be measured.

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