FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Basin Surface Area given Resonant Period for Helmholtz Mode Formula

Fx Copy

LaTeX Copy

Surface Area is the extent of a two-dimensional surface within a three-dimensional space. This surface can pertain to various natural and man-made structures and phenomena. Check FAQs

A s = ([g] \cdot A C \cdot \frac{{(\frac{T r 2}{2} \cdot π)}^{2}}{L ch + l' c})

A_s - Surface Area?A_C - Cross Sectional Area?T_r2 - Resonant Period?L_ch - Channel Length (Helmholtz Mode)?l'_c - Additional Length of the Channel?[g] - Gravitational acceleration on Earth?π - Archimedes' constant?

Basin Surface Area given Resonant Period for Helmholtz Mode Example

With values

With units

Only example

Here is how the Basin Surface Area given Resonant Period for Helmholtz Mode equation looks like with Values.

Here is how the Basin Surface Area given Resonant Period for Helmholtz Mode equation looks like with Units.

Here is how the Basin Surface Area given Resonant Period for Helmholtz Mode equation looks like.

30.0437 = (9.8066 \cdot 0.2 \cdot \frac{{(\frac{19.3}{2} \cdot 3.1416)}^{2}}{40 + 20})

30.0437m² = (9.8066m/s² \cdot 0.2m² \cdot \frac{{(\frac{19.3s}{2} \cdot 3.1416)}^{2}}{40m + 20m})

30.0437 = (9.8066 \cdot 0.2 \cdot \frac{{(\frac{19.3}{2} \cdot 3.1416)}^{2}}{40 + 20})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Coastal and Ocean Engineering » fx Basin Surface Area given Resonant Period for Helmholtz Mode

Basin Surface Area given Resonant Period for Helmholtz Mode Solution

Follow our step by step solution on how to calculate Basin Surface Area given Resonant Period for Helmholtz Mode?

FIRST Step Consider the formula

A s = ([g] \cdot A C \cdot \frac{{(\frac{T r 2}{2} \cdot π)}^{2}}{L ch + l' c})

Next Step Substitute values of Variables

∴

A s = ([g] \cdot 0.2m² \cdot \frac{{(\frac{19.3s}{2} \cdot π)}^{2}}{40m + 20m})

Next Step Substitute values of Constants

∴

A s = (9.8066m/s² \cdot 0.2m² \cdot \frac{{(\frac{19.3s}{2} \cdot 3.1416)}^{2}}{40m + 20m})

Next Step Prepare to Evaluate

∴

A s = (9.8066 \cdot 0.2 \cdot \frac{{(\frac{19.3}{2} \cdot 3.1416)}^{2}}{40 + 20})

Next Step Evaluate

∴

A s = 30.0437260270156m²

LAST Step Rounding Answer

∴

A s = 30.0437m²

Basin Surface Area given Resonant Period for Helmholtz Mode Formula Elements

Variables

Constants

Surface Area

Surface Area is the extent of a two-dimensional surface within a three-dimensional space. This surface can pertain to various natural and man-made structures and phenomena.

Symbol: A_s

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Surface Area

Cross Sectional Area

Cross Sectional Area is the area of the channel when viewed in a plane perpendicular to the direction of flow.

Symbol: A_C

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Cross Sectional Area

Resonant Period

Resonant Period is the natural period of oscillation at which a body of water or a structure responds most strongly to external forcing.

Symbol: T_r2

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Resonant Period

Channel Length (Helmholtz Mode)

Channel Length (Helmholtz Mode) is the specific length of a coastal channel at which the natural frequency of the channel matches the frequency of incoming waves, leading to resonance.

Symbol: L_ch

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Channel Length (Helmholtz Mode)

Additional Length of the Channel

Additional Length of the Channel refers to the extra distance required in a channel or conduit to accommodate certain flow characteristics or conditions.

Symbol: l'_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Additional Length of the Channel

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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 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}}

How to Evaluate Basin Surface Area given Resonant Period for Helmholtz Mode?

Basin Surface Area given Resonant Period for Helmholtz Mode evaluator uses Surface Area = ([g]*Cross Sectional Area*(Resonant Period/2*pi)^2/(Channel Length (Helmholtz Mode)+Additional Length of the Channel)) to evaluate the Surface Area, The Basin Surface Area given Resonant Period for Helmholtz Mode formula is defined as the relationship between the surface area of a basin (such as a bay, harbor, or estuary) and its natural resonant period for Helmholtz oscillations. Surface Area is denoted by A_s symbol.

How to evaluate Basin Surface Area given Resonant Period for Helmholtz Mode using this online evaluator? To use this online evaluator for Basin Surface Area given Resonant Period for Helmholtz Mode, enter Cross Sectional Area (A_C), Resonant Period (T_r2), Channel Length (Helmholtz Mode) (L_ch) & Additional Length of the Channel (l'_c) and hit the calculate button.

FAQs on Basin Surface Area given Resonant Period for Helmholtz Mode

What is the formula to find Basin Surface Area given Resonant Period for Helmholtz Mode?

The formula of Basin Surface Area given Resonant Period for Helmholtz Mode is expressed as Surface Area = ([g]*Cross Sectional Area*(Resonant Period/2*pi)^2/(Channel Length (Helmholtz Mode)+Additional Length of the Channel)). Here is an example- 30.04373 = ([g]*0.2*(19.3/2*pi)^2/(40+20)).

How to calculate Basin Surface Area given Resonant Period for Helmholtz Mode?

With Cross Sectional Area (A_C), Resonant Period (T_r2), Channel Length (Helmholtz Mode) (L_ch) & Additional Length of the Channel (l'_c) we can find Basin Surface Area given Resonant Period for Helmholtz Mode using the formula - Surface Area = ([g]*Cross Sectional Area*(Resonant Period/2*pi)^2/(Channel Length (Helmholtz Mode)+Additional Length of the Channel)). This formula also uses Gravitational acceleration on Earth, Archimedes' constant .

Can the Basin Surface Area given Resonant Period for Helmholtz Mode be negative?

Yes, the Basin Surface Area given Resonant Period for Helmholtz Mode, measured in Area can be negative.

Which unit is used to measure Basin Surface Area given Resonant Period for Helmholtz Mode?

Basin Surface Area given Resonant Period for Helmholtz Mode is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Basin Surface Area given Resonant Period for Helmholtz Mode can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Basin Surface Area given Resonant Period for Helmholtz Mode Formula

Basin Surface Area given Resonant Period for Helmholtz Mode Example

Basin Surface Area given Resonant Period for Helmholtz Mode Solution

Basin Surface Area given Resonant Period for Helmholtz Mode Formula Elements

Other formulas in Harbor Oscillations category

How to Evaluate Basin Surface Area given Resonant Period for Helmholtz Mode?

FAQs on Basin Surface Area given Resonant Period for Helmholtz Mode

Variable Name