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Basin Length along Axis for given Period of Fundamental Mode Formula

GoBasin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode Formula

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

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

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

Basin Length along Axis for given Period of Fundamental Mode Example

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Here is how the Basin Length along Axis for given Period of Fundamental Mode equation looks like with Values.

Here is how the Basin Length along Axis for given Period of Fundamental Mode equation looks like with Units.

Here is how the Basin Length along Axis for given Period of Fundamental Mode equation looks like.

4.4122 = 5.5 \cdot \frac{\sqrt{9.8066 \cdot 1.05}}{4}

4.4122m = 5.5s \cdot \frac{\sqrt{9.8066m/s² \cdot 1.05m}}{4}

4.4122 = 5.5 \cdot \frac{\sqrt{9.8066 \cdot 1.05}}{4}

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Basin Length along Axis for given Period of Fundamental Mode Solution

Follow our step by step solution on how to calculate Basin Length along Axis for given Period of Fundamental Mode?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L ba = 5.5s \cdot \frac{\sqrt{[g] \cdot 1.05m}}{4}

Next Step Substitute values of Constants

∴

L ba = 5.5s \cdot \frac{\sqrt{9.8066m/s² \cdot 1.05m}}{4}

Next Step Prepare to Evaluate

∴

L ba = 5.5 \cdot \frac{\sqrt{9.8066 \cdot 1.05}}{4}

Next Step Evaluate

∴

L ba = 4.41222534998639m

LAST Step Rounding Answer

∴

L ba = 4.4122m

Basin Length along Axis for given Period of Fundamental Mode Formula Elements

Variables

Constants

Functions

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

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

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 Basin along Axis

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

L ba = T 1 \cdot \frac{\sqrt{[g] \cdot D}}{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 Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode

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

Go Period for Fundamental Mode

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

Go Water Depth for given Period for Fundamental Mode

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

How to Evaluate Basin Length along Axis for given Period of Fundamental Mode?

Basin Length along Axis for given Period of Fundamental Mode evaluator uses Length of Basin along Axis = Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth at Harbor)/4 to evaluate the Length of Basin along Axis, The Basin Length along Axis for given Period of Fundamental Mode formula is defined as the maximum distance along the basin to the pouring point influencing the period for the fundamental mode (n = 0). Length of Basin along Axis is denoted by L_ba symbol.

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

FAQs on Basin Length along Axis for given Period of Fundamental Mode

What is the formula to find Basin Length along Axis for given Period of Fundamental Mode?

The formula of Basin Length along Axis for given Period of Fundamental Mode is expressed as Length of Basin along Axis = Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth at Harbor)/4. Here is an example- 4.412225 = 5.5*sqrt([g]*1.05)/4.

How to calculate Basin Length along Axis for given Period of Fundamental Mode?

With Natural Free Oscillating Period of a Basin (T_n) & Water Depth at Harbor (d) we can find Basin Length along Axis for given Period of Fundamental Mode using the formula - Length of Basin along Axis = Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth at Harbor)/4. 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 Basin along Axis?

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

Length of Basin along Axis=Maximum Oscillation Period*sqrt([g]*Water Depth)/2

Can the Basin Length along Axis for given Period of Fundamental Mode be negative?

No, the Basin Length along Axis for given Period of Fundamental Mode, measured in Length cannot be negative.

Which unit is used to measure Basin Length along Axis for given Period of Fundamental Mode?

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

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