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Surface Area of Bay using King's Dimensionless Velocity Formula

GoSurface Area of Bay for Flow through Inlet into Bay Formula

GoSurface Area of Bay given Tidal Prism Filling Bay Formula

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Surface Area of Bay is defined as a small body of water set off from the main body. Check FAQs

A b = \frac{A avg \cdot T \cdot V m}{V' m \cdot 2 \cdot π \cdot a o}

A_b - Surface Area of Bay?A_avg - Average Area over the Channel Length?T - Tidal Period?V_m - Maximum Cross Sectional Average Velocity?V'_m - King’s Dimensionless Velocity?a_o - Ocean Tide Amplitude?π - Archimedes' constant?

Surface Area of Bay using King's Dimensionless Velocity Example

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Here is how the Surface Area of Bay using King's Dimensionless Velocity equation looks like with Values.

Here is how the Surface Area of Bay using King's Dimensionless Velocity equation looks like with Units.

Here is how the Surface Area of Bay using King's Dimensionless Velocity equation looks like.

1.5424 = \frac{8 \cdot 130 \cdot 4.1}{110 \cdot 2 \cdot 3.1416 \cdot 4}

1.5424m² = \frac{8m² \cdot 130s \cdot 4.1m/s}{110 \cdot 2 \cdot 3.1416 \cdot 4m}

1.5424 = \frac{8 \cdot 130 \cdot 4.1}{110 \cdot 2 \cdot 3.1416 \cdot 4}

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Surface Area of Bay using King's Dimensionless Velocity Solution

Follow our step by step solution on how to calculate Surface Area of Bay using King's Dimensionless Velocity?

FIRST Step Consider the formula

A b = \frac{A avg \cdot T \cdot V m}{V' m \cdot 2 \cdot π \cdot a o}

Next Step Substitute values of Variables

∴

A b = \frac{8m² \cdot 130s \cdot 4.1m/s}{110 \cdot 2 \cdot π \cdot 4m}

Next Step Substitute values of Constants

∴

A b = \frac{8m² \cdot 130s \cdot 4.1m/s}{110 \cdot 2 \cdot 3.1416 \cdot 4m}

Next Step Prepare to Evaluate

∴

A b = \frac{8 \cdot 130 \cdot 4.1}{110 \cdot 2 \cdot 3.1416 \cdot 4}

Next Step Evaluate

∴

A b = 1.54235608487237m²

LAST Step Rounding Answer

∴

A b = 1.5424m²

Surface Area of Bay using King's Dimensionless Velocity Formula Elements

Variables

Constants

Surface Area of Bay

Surface Area of Bay is defined as a small body of water set off from the main body.

Symbol: A_b

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Surface Area of Bay

Average Area over the Channel Length

Average Area over the Channel Length is calculated with surface area of bay, change of bay elevation with time and average velocity in channel for flow.

Symbol: A_avg

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Average Area over the Channel Length

Tidal Period

Tidal Period is the time taken for a specific site on Earth to rotate from an exact point under moon to same point under moon, also known as “tidal day” and it’s slightly longer than a solar day.

Symbol: T

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Tidal Period

Maximum Cross Sectional Average Velocity

Maximum Cross Sectional Average Velocity during a tidal cycle which is the periodic rise and fall of the waters of the ocean and its inlets.

Symbol: V_m

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Maximum Cross Sectional Average Velocity

King’s Dimensionless Velocity

King’s Dimensionless Velocity is measure of fluid flow independent of scale, expressed as the ratio of velocity to a characteristic speed.

Symbol: V'_m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find King’s Dimensionless Velocity

Ocean Tide Amplitude

Ocean Tide Amplitude is the height difference between high and low tides, reflecting gravitational forces from the moon and sun.

Symbol: a_o

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Ocean Tide Amplitude

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 to find Surface Area of Bay

Go Surface Area of Bay for Flow through Inlet into Bay

A b = \frac{V avg \cdot A avg}{d Bay}

Go Surface Area of Bay given Tidal Prism Filling Bay

A b = \frac{P}{2 \cdot a B}

Other formulas in Inlet Currents and Tidal Elevations category

Go Average Velocity in Channel for Flow through Inlet into Bay

V avg = \frac{A b \cdot d Bay}{A avg}

Go Average Area over Channel Length for Flow through Inlet into Bay

A avg = \frac{A b \cdot d Bay}{V avg}

Go Change of Bay Elevation with Time for Flow through Inlet into Bay

d Bay = \frac{A avg \cdot V avg}{A b}

Go Average Area over Channel Length using King's Dimensionless Velocity

A avg = \frac{V' m \cdot 2 \cdot π \cdot a o \cdot A b}{T \cdot V m}

How to Evaluate Surface Area of Bay using King's Dimensionless Velocity?

Surface Area of Bay using King's Dimensionless Velocity evaluator uses Surface Area of Bay = (Average Area over the Channel Length*Tidal Period*Maximum Cross Sectional Average Velocity)/(King’s Dimensionless Velocity*2*pi*Ocean Tide Amplitude) to evaluate the Surface Area of Bay, The Surface Area of Bay using King's Dimensionless Velocity formula is defined as the area of a small body of water set off from the main body. Surface Area of Bay is denoted by A_b symbol.

How to evaluate Surface Area of Bay using King's Dimensionless Velocity using this online evaluator? To use this online evaluator for Surface Area of Bay using King's Dimensionless Velocity, enter Average Area over the Channel Length (A_avg), Tidal Period (T), Maximum Cross Sectional Average Velocity (V_m), King’s Dimensionless Velocity (V'_m) & Ocean Tide Amplitude (a_o) and hit the calculate button.

FAQs on Surface Area of Bay using King's Dimensionless Velocity

What is the formula to find Surface Area of Bay using King's Dimensionless Velocity?

The formula of Surface Area of Bay using King's Dimensionless Velocity is expressed as Surface Area of Bay = (Average Area over the Channel Length*Tidal Period*Maximum Cross Sectional Average Velocity)/(King’s Dimensionless Velocity*2*pi*Ocean Tide Amplitude). Here is an example- 1.542356 = (8*130*4.1)/(110*2*pi*4).

How to calculate Surface Area of Bay using King's Dimensionless Velocity?

With Average Area over the Channel Length (A_avg), Tidal Period (T), Maximum Cross Sectional Average Velocity (V_m), King’s Dimensionless Velocity (V'_m) & Ocean Tide Amplitude (a_o) we can find Surface Area of Bay using King's Dimensionless Velocity using the formula - Surface Area of Bay = (Average Area over the Channel Length*Tidal Period*Maximum Cross Sectional Average Velocity)/(King’s Dimensionless Velocity*2*pi*Ocean Tide Amplitude). This formula also uses Archimedes' constant .

What are the other ways to Calculate Surface Area of Bay?

Here are the different ways to Calculate Surface Area of Bay-

Surface Area of Bay=(Average Velocity in Channel for Flow*Average Area over the Channel Length)/Change of Bay Elevation with Time
Surface Area of Bay=Tidal Prism Filling Bay/(2*Bay Tide Amplitude)

Can the Surface Area of Bay using King's Dimensionless Velocity be negative?

Yes, the Surface Area of Bay using King's Dimensionless Velocity, measured in Area can be negative.

Which unit is used to measure Surface Area of Bay using King's Dimensionless Velocity?

Surface Area of Bay using King's Dimensionless Velocity 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 Surface Area of Bay using King's Dimensionless Velocity can be measured.

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Surface Area of Bay using King's Dimensionless Velocity Formula

​GoSurface Area of Bay for Flow through Inlet into Bay Formula

​GoSurface Area of Bay given Tidal Prism Filling Bay Formula

Surface Area of Bay using King's Dimensionless Velocity Example

Surface Area of Bay using King's Dimensionless Velocity Solution

Surface Area of Bay using King's Dimensionless Velocity Formula Elements

Other Formulas to find Surface Area of Bay

Other formulas in Inlet Currents and Tidal Elevations category

How to Evaluate Surface Area of Bay using King's Dimensionless Velocity?

FAQs on Surface Area of Bay using King's Dimensionless Velocity

Variable Name

GoSurface Area of Bay for Flow through Inlet into Bay Formula

GoSurface Area of Bay given Tidal Prism Filling Bay Formula