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Ocean Tide Amplitude using King's Dimensionless Velocity Formula

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

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

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

Ocean Tide Amplitude using King's Dimensionless Velocity Example

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Here is how the Ocean Tide Amplitude using King's Dimensionless Velocity equation looks like with Values.

Here is how the Ocean Tide Amplitude using King's Dimensionless Velocity equation looks like with Units.

Here is how the Ocean Tide Amplitude using King's Dimensionless Velocity equation looks like.

4.1127 = \frac{8 \cdot 4.1 \cdot 130}{110 \cdot 2 \cdot 3.1416 \cdot 1.5001}

4.1127m = \frac{8m² \cdot 4.1m/s \cdot 130s}{110 \cdot 2 \cdot 3.1416 \cdot 1.5001m²}

4.1127 = \frac{8 \cdot 4.1 \cdot 130}{110 \cdot 2 \cdot 3.1416 \cdot 1.5001}

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Ocean Tide Amplitude using King's Dimensionless Velocity Solution

Follow our step by step solution on how to calculate Ocean Tide Amplitude using King's Dimensionless Velocity?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a o = \frac{8m² \cdot 4.1m/s \cdot 130s}{110 \cdot 2 \cdot π \cdot 1.5001m²}

Next Step Substitute values of Constants

∴

a o = \frac{8m² \cdot 4.1m/s \cdot 130s}{110 \cdot 2 \cdot 3.1416 \cdot 1.5001m²}

Next Step Prepare to Evaluate

∴

a o = \frac{8 \cdot 4.1 \cdot 130}{110 \cdot 2 \cdot 3.1416 \cdot 1.5001}

Next Step Evaluate

∴

a o = 4.11267538130089m

LAST Step Rounding Answer

∴

a o = 4.1127m

Ocean Tide Amplitude using King's Dimensionless Velocity Formula Elements

Variables

Constants

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

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

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

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

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

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

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 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 Surface Area of Bay for Flow through Inlet into Bay

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

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

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

How to Evaluate Ocean Tide Amplitude using King's Dimensionless Velocity?

Ocean Tide Amplitude using King's Dimensionless Velocity evaluator uses Ocean Tide Amplitude = (Average Area over the Channel Length*Maximum Cross Sectional Average Velocity*Tidal Period)/(King’s Dimensionless Velocity*2*pi*Surface Area of Bay) to evaluate the Ocean Tide Amplitude, The Ocean Tide Amplitude using King's Dimensionless Velocity formula is defined as the elevation of tidal high water above mean sea level. Ocean Tide Amplitude is denoted by a_o symbol.

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

FAQs on Ocean Tide Amplitude using King's Dimensionless Velocity

What is the formula to find Ocean Tide Amplitude using King's Dimensionless Velocity?

The formula of Ocean Tide Amplitude using King's Dimensionless Velocity is expressed as Ocean Tide Amplitude = (Average Area over the Channel Length*Maximum Cross Sectional Average Velocity*Tidal Period)/(King’s Dimensionless Velocity*2*pi*Surface Area of Bay). Here is an example- 4.11295 = (8*4.1*130)/(110*2*pi*1.5001).

How to calculate Ocean Tide Amplitude using King's Dimensionless Velocity?

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

Can the Ocean Tide Amplitude using King's Dimensionless Velocity be negative?

Yes, the Ocean Tide Amplitude using King's Dimensionless Velocity, measured in Length can be negative.

Which unit is used to measure Ocean Tide Amplitude using King's Dimensionless Velocity?

Ocean Tide Amplitude using King's Dimensionless Velocity is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Ocean Tide Amplitude using King's Dimensionless Velocity can be measured.

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Ocean Tide Amplitude using King's Dimensionless Velocity Formula

Ocean Tide Amplitude using King's Dimensionless Velocity Example

Ocean Tide Amplitude using King's Dimensionless Velocity Solution

Ocean Tide Amplitude using King's Dimensionless Velocity Formula Elements

Other formulas in Inlet Currents and Tidal Elevations category

How to Evaluate Ocean Tide Amplitude using King's Dimensionless Velocity?

FAQs on Ocean Tide Amplitude using King's Dimensionless Velocity

Variable Name