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Maximum Oscillation Period corresponding to Fundamental Mode Formula

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

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

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

Maximum Oscillation Period corresponding to Fundamental Mode Example

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Here is how the Maximum Oscillation Period corresponding to Fundamental Mode equation looks like with Values.

Here is how the Maximum Oscillation Period corresponding to Fundamental Mode equation looks like with Units.

Here is how the Maximum Oscillation Period corresponding to Fundamental Mode equation looks like.

0.0136 = 2 \cdot \frac{4.41}{\sqrt{9.8066 \cdot 12}}

0.0136min = 2 \cdot \frac{4.41m}{\sqrt{9.8066m/s² \cdot 12m}}

0.0136 = 2 \cdot \frac{4.41}{\sqrt{9.8066 \cdot 12}}

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Maximum Oscillation Period corresponding to Fundamental Mode Solution

Follow our step by step solution on how to calculate Maximum Oscillation Period corresponding to Fundamental Mode?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T 1 = 2 \cdot \frac{4.41m}{\sqrt{[g] \cdot 12m}}

Next Step Substitute values of Constants

∴

T 1 = 2 \cdot \frac{4.41m}{\sqrt{9.8066m/s² \cdot 12m}}

Next Step Prepare to Evaluate

∴

T 1 = 2 \cdot \frac{4.41}{\sqrt{9.8066 \cdot 12}}

Next Step Evaluate

∴

T 1 = 0.813050692999644s

Next Step Convert to Output's Unit

∴

T 1 = 0.0135508448833274min

LAST Step Rounding Answer

∴

T 1 = 0.0136min

Maximum Oscillation Period corresponding to Fundamental Mode Formula Elements

Variables

Constants

Functions

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

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

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

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

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 Basin Length along Axis for given Period of Fundamental Mode

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

How to Evaluate Maximum Oscillation Period corresponding to Fundamental Mode?

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

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

FAQs on Maximum Oscillation Period corresponding to Fundamental Mode

What is the formula to find Maximum Oscillation Period corresponding to Fundamental Mode?

The formula of Maximum Oscillation Period corresponding to Fundamental Mode is expressed as Maximum Oscillation Period = 2*Length of Basin along Axis/sqrt([g]*Water Depth). Here is an example- 0.000226 = 2*4.41/sqrt([g]*12).

How to calculate Maximum Oscillation Period corresponding to Fundamental Mode?

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

Can the Maximum Oscillation Period corresponding to Fundamental Mode be negative?

Yes, the Maximum Oscillation Period corresponding to Fundamental Mode, measured in Time can be negative.

Which unit is used to measure Maximum Oscillation Period corresponding to Fundamental Mode?

Maximum Oscillation Period corresponding to Fundamental Mode is usually measured using the Minute[min] for Time. Second[min], Millisecond[min], Microsecond[min] are the few other units in which Maximum Oscillation Period corresponding to Fundamental Mode can be measured.

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