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Ocean Tide Amplitude using King's Dimensionless Variable 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{Qr \cdot T}{Qr' \cdot 2 \cdot π \cdot A b}

a_o - Ocean Tide Amplitude?Qr - River or Freshwater Inflow to a Bay?T - Tidal Period?Qr' - King’s Dimensionless Variable for Freshwater?A_b - Surface Area of Bay?π - Archimedes' constant?

Ocean Tide Amplitude using King's Dimensionless Variable Example

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

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

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

4.0329 = \frac{10 \cdot 130}{0.57 \cdot 2 \cdot 3.1416 \cdot 1.5001}

4.0329m = \frac{10m³/min \cdot 130s}{0.57 \cdot 2 \cdot 3.1416 \cdot 1.5001m²}

4.0329 = \frac{10 \cdot 130}{0.57 \cdot 2 \cdot 3.1416 \cdot 1.5001}

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Ocean Tide Amplitude using King's Dimensionless Variable Solution

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

FIRST Step Consider the formula

a o = \frac{Qr \cdot T}{Qr' \cdot 2 \cdot π \cdot A b}

Next Step Substitute values of Variables

∴

a o = \frac{10m³/min \cdot 130s}{0.57 \cdot 2 \cdot π \cdot 1.5001m²}

Next Step Substitute values of Constants

∴

a o = \frac{10m³/min \cdot 130s}{0.57 \cdot 2 \cdot 3.1416 \cdot 1.5001m²}

Next Step Convert Units

∴

a o = \frac{0.1667m³/s \cdot 130s}{0.57 \cdot 2 \cdot 3.1416 \cdot 1.5001m²}

Next Step Prepare to Evaluate

∴

a o = \frac{0.1667 \cdot 130}{0.57 \cdot 2 \cdot 3.1416 \cdot 1.5001}

Next Step Evaluate

∴

a o = 4.03289733938721m

LAST Step Rounding Answer

∴

a o = 4.0329m

Ocean Tide Amplitude using King's Dimensionless Variable 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

River or Freshwater Inflow to a Bay

River or Freshwater Inflow to a Bay is the water that is less saline than marine water.

Symbol: Qr

Measurement: Volumetric Flow RateUnit: m³/min

Note: Value can be positive or negative.

Formulas to find River or Freshwater Inflow to a Bay

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 Variable for Freshwater

King’s Dimensionless Variable for Freshwater is a metric used in fluid dynamics to characterize flow patterns in freshwater environments succinctly.

Symbol: Qr'

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find King’s Dimensionless Variable for Freshwater

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 Effect of Freshwater Inflow category

Go King's Dimensionless Variable

Qr' = Qr \cdot \frac{T}{2 \cdot π \cdot a o \cdot A b}

Go River or Freshwater Inflow to Bay using King's Dimensionless Variable

Qr = \frac{Qr' \cdot 2 \cdot π \cdot a o \cdot A b}{T}

Go Tidal Period using King's Dimensionless Variable

T = \frac{Qr' \cdot 2 \cdot π \cdot a o \cdot A b}{Qr}

Go Surface Area of Bay or Basin using King's Dimensionless Variable

A b = \frac{Qr \cdot T}{Qr' \cdot 2 \cdot π \cdot a o}

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

Ocean Tide Amplitude using King's Dimensionless Variable evaluator uses Ocean Tide Amplitude = (River or Freshwater Inflow to a Bay*Tidal Period)/(King’s Dimensionless Variable for Freshwater*2*pi*Surface Area of Bay) to evaluate the Ocean Tide Amplitude, The Ocean Tide Amplitude using King's Dimensionless Variable 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 Variable using this online evaluator? To use this online evaluator for Ocean Tide Amplitude using King's Dimensionless Variable, enter River or Freshwater Inflow to a Bay (Qr), Tidal Period (T), King’s Dimensionless Variable for Freshwater (Qr') & Surface Area of Bay (A_b) and hit the calculate button.

FAQs on Ocean Tide Amplitude using King's Dimensionless Variable

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

The formula of Ocean Tide Amplitude using King's Dimensionless Variable is expressed as Ocean Tide Amplitude = (River or Freshwater Inflow to a Bay*Tidal Period)/(King’s Dimensionless Variable for Freshwater*2*pi*Surface Area of Bay). Here is an example- 4.033166 = (0.166666666666667*130)/(0.57*2*pi*1.5001).

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

With River or Freshwater Inflow to a Bay (Qr), Tidal Period (T), King’s Dimensionless Variable for Freshwater (Qr') & Surface Area of Bay (A_b) we can find Ocean Tide Amplitude using King's Dimensionless Variable using the formula - Ocean Tide Amplitude = (River or Freshwater Inflow to a Bay*Tidal Period)/(King’s Dimensionless Variable for Freshwater*2*pi*Surface Area of Bay). This formula also uses Archimedes' constant .

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

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

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

Ocean Tide Amplitude using King's Dimensionless Variable 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 Variable can be measured.

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Ocean Tide Amplitude using King's Dimensionless Variable Formula

Ocean Tide Amplitude using King's Dimensionless Variable Example

Ocean Tide Amplitude using King's Dimensionless Variable Solution

Ocean Tide Amplitude using King's Dimensionless Variable Formula Elements

Other formulas in Effect of Freshwater Inflow category

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

FAQs on Ocean Tide Amplitude using King's Dimensionless Variable

Variable Name