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Basin 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 1 \cdot \frac{\sqrt{[g] \cdot D}}{2}

L_ba - Length of Basin along Axis?T₁ - Maximum Oscillation Period?D - Water Depth?[g] - Gravitational acceleration on Earth?

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

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Here is how the Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode equation looks like with Values.

Here is how the Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode equation looks like with Units.

Here is how the Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode equation looks like.

4.2307 = 0.013 \cdot \frac{\sqrt{9.8066 \cdot 12}}{2}

4.2307m = 0.013min \cdot \frac{\sqrt{9.8066m/s² \cdot 12m}}{2}

4.2307 = 0.013 \cdot \frac{\sqrt{9.8066 \cdot 12}}{2}

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

Follow our step by step solution on how to calculate Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L ba = 0.013min \cdot \frac{\sqrt{[g] \cdot 12m}}{2}

Next Step Substitute values of Constants

∴

L ba = 0.013min \cdot \frac{\sqrt{9.8066m/s² \cdot 12m}}{2}

Next Step Convert Units

∴

L ba = 0.78s \cdot \frac{\sqrt{9.8066m/s² \cdot 12m}}{2}

Next Step Prepare to Evaluate

∴

L ba = 0.78 \cdot \frac{\sqrt{9.8066 \cdot 12}}{2}

Next Step Evaluate

∴

L ba = 4.23073251104345m

LAST Step Rounding Answer

∴

L ba = 4.2307m

Basin Length along axis given Maximum Oscillation Period corresponding to 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

Maximum Oscillation Period

Maximum Oscillation Period refers to the longest time it takes for a system to complete one full cycle of oscillation.

Symbol: T₁

Measurement: TimeUnit: min

Note: Value can be positive or negative.

Formulas to find Maximum Oscillation Period

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

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 in Harbor Oscillations category

Go Maximum Horizontal Velocity at Node

V max = (\frac{H w}{2}) \cdot \sqrt{\frac{[g]}{D w}}

Go Standing Wave Height given Maximum Horizontal Velocity at Node

H w = (\frac{V max}{\sqrt{\frac{[g]}{D w}}}) \cdot 2

Go Water Depth given Maximum Horizontal Velocity at Node

D w = \frac{[g]}{{(\frac{V max}{\frac{H w}{2}})}^{2}}

Go Resonant Period for Helmholtz Mode

T H = (2 \cdot π) \cdot \sqrt{(L ch + l' c) \cdot \frac{A b}{[g] \cdot A C}}

How to Evaluate Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode?

Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode evaluator uses Length of Basin along Axis = Maximum Oscillation Period*sqrt([g]*Water Depth)/2 to evaluate the Length of Basin along Axis, The Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode formula is defined as a parameter influencing the maximum oscillation period T1 corresponding to the fundamental mode is given by setting n = 1. Length of Basin along Axis is denoted by L_ba symbol.

How to evaluate Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode using this online evaluator? To use this online evaluator for Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode, enter Maximum Oscillation Period (T₁) & Water Depth (D) and hit the calculate button.

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

What is the formula to find Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode?

The formula of Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode is expressed as Length of Basin along Axis = Maximum Oscillation Period*sqrt([g]*Water Depth)/2. Here is an example- 4.230733 = 0.78*sqrt([g]*12)/2.

How to calculate Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode?

With Maximum Oscillation Period (T₁) & Water Depth (D) we can find Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode using the formula - Length of Basin along Axis = Maximum Oscillation Period*sqrt([g]*Water Depth)/2. This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

Can the Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode be negative?

No, the Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode, measured in Length cannot be negative.

Which unit is used to measure Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode?

Basin Length along axis given Maximum Oscillation Period corresponding to 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 given Maximum Oscillation Period corresponding to Fundamental Mode can be measured.

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