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Tidal Period using King's Dimensionless Velocity Formula

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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. Check FAQs

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

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

Tidal Period using King's Dimensionless Velocity Example

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Here is how the Tidal Period using King's Dimensionless Velocity equation looks like with Values.

Here is how the Tidal Period using King's Dimensionless Velocity equation looks like with Units.

Here is how the Tidal Period using King's Dimensionless Velocity equation looks like.

126.4384 = \frac{2 \cdot 3.1416 \cdot 4 \cdot 1.5001 \cdot 110}{8 \cdot 4.1}

126.4384s = \frac{2 \cdot 3.1416 \cdot 4m \cdot 1.5001m² \cdot 110}{8m² \cdot 4.1m/s}

126.4384 = \frac{2 \cdot 3.1416 \cdot 4 \cdot 1.5001 \cdot 110}{8 \cdot 4.1}

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Tidal Period using King's Dimensionless Velocity Solution

Follow our step by step solution on how to calculate Tidal Period using King's Dimensionless Velocity?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T = \frac{2 \cdot π \cdot 4m \cdot 1.5001m² \cdot 110}{8m² \cdot 4.1m/s}

Next Step Substitute values of Constants

∴

T = \frac{2 \cdot 3.1416 \cdot 4m \cdot 1.5001m² \cdot 110}{8m² \cdot 4.1m/s}

Next Step Prepare to Evaluate

∴

T = \frac{2 \cdot 3.1416 \cdot 4 \cdot 1.5001 \cdot 110}{8 \cdot 4.1}

Next Step Evaluate

∴

T = 126.43837691744s

LAST Step Rounding Answer

∴

T = 126.4384s

Tidal Period using King's Dimensionless Velocity Formula Elements

Variables

Constants

Tidal Period

Symbol: T

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Tidal Period

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

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

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

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

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 Tidal Period using King's Dimensionless Velocity?

Tidal Period using King's Dimensionless Velocity evaluator uses Tidal Period = (2*pi*Ocean Tide Amplitude*Surface Area of Bay*King’s Dimensionless Velocity)/(Average Area over the Channel Length*Maximum Cross Sectional Average Velocity) to evaluate the Tidal Period, The Tidal Period using King's Dimensionless Velocity formula is defined as an efficient way of estimating how much water there is, at any given time of day, over a particular point. Tidal Period is denoted by T symbol.

How to evaluate Tidal Period using King's Dimensionless Velocity using this online evaluator? To use this online evaluator for Tidal Period using King's Dimensionless Velocity, enter Ocean Tide Amplitude (a_o), Surface Area of Bay (A_b), King’s Dimensionless Velocity (V'_m), Average Area over the Channel Length (A_avg) & Maximum Cross Sectional Average Velocity (V_m) and hit the calculate button.

FAQs on Tidal Period using King's Dimensionless Velocity

What is the formula to find Tidal Period using King's Dimensionless Velocity?

The formula of Tidal Period using King's Dimensionless Velocity is expressed as Tidal Period = (2*pi*Ocean Tide Amplitude*Surface Area of Bay*King’s Dimensionless Velocity)/(Average Area over the Channel Length*Maximum Cross Sectional Average Velocity). Here is an example- 126.4299 = (2*pi*4*1.5001*110)/(8*4.1).

How to calculate Tidal Period using King's Dimensionless Velocity?

With Ocean Tide Amplitude (a_o), Surface Area of Bay (A_b), King’s Dimensionless Velocity (V'_m), Average Area over the Channel Length (A_avg) & Maximum Cross Sectional Average Velocity (V_m) we can find Tidal Period using King's Dimensionless Velocity using the formula - Tidal Period = (2*pi*Ocean Tide Amplitude*Surface Area of Bay*King’s Dimensionless Velocity)/(Average Area over the Channel Length*Maximum Cross Sectional Average Velocity). This formula also uses Archimedes' constant .

Can the Tidal Period using King's Dimensionless Velocity be negative?

Yes, the Tidal Period using King's Dimensionless Velocity, measured in Time can be negative.

Which unit is used to measure Tidal Period using King's Dimensionless Velocity?

Tidal Period using King's Dimensionless Velocity is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Tidal Period using King's Dimensionless Velocity can be measured.

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Tidal Period using King's Dimensionless Velocity Formula

Tidal Period using King's Dimensionless Velocity Example

Tidal Period using King's Dimensionless Velocity Solution

Tidal Period using King's Dimensionless Velocity Formula Elements

Other formulas in Inlet Currents and Tidal Elevations category

How to Evaluate Tidal Period using King's Dimensionless Velocity?

FAQs on Tidal Period using King's Dimensionless Velocity

Variable Name