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Tidal Amplitude in Ocean 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{Δ BS}{\frac{\sin (2 \cdot π \cdot \frac{t}{T})}{1 - \cos (2 \cdot π \cdot \frac{t}{T})}}

a_o - Ocean Tide Amplitude?Δ_BS - Bay Superelevation?t - Duration of Inflow?T - Tidal Period?π - Archimedes' constant?

Tidal Amplitude in Ocean Example

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Here is how the Tidal Amplitude in Ocean equation looks like with Values.

Here is how the Tidal Amplitude in Ocean equation looks like with Units.

Here is how the Tidal Amplitude in Ocean equation looks like.

3.9955 = \frac{4.51}{\frac{\sin (2 \cdot 3.1416 \cdot \frac{1.2}{130})}{1 - \cos (2 \cdot 3.1416 \cdot \frac{1.2}{130})}}

3.9955m = \frac{4.51m}{\frac{\sin (2 \cdot 3.1416 \cdot \frac{1.2h}{130s})}{1 - \cos (2 \cdot 3.1416 \cdot \frac{1.2h}{130s})}}

3.9955 = \frac{4.51}{\frac{\sin (2 \cdot 3.1416 \cdot \frac{1.2}{130})}{1 - \cos (2 \cdot 3.1416 \cdot \frac{1.2}{130})}}

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Tidal Amplitude in Ocean Solution

Follow our step by step solution on how to calculate Tidal Amplitude in Ocean?

FIRST Step Consider the formula

a o = \frac{Δ BS}{\frac{\sin (2 \cdot π \cdot \frac{t}{T})}{1 - \cos (2 \cdot π \cdot \frac{t}{T})}}

Next Step Substitute values of Variables

∴

a o = \frac{4.51m}{\frac{\sin (2 \cdot π \cdot \frac{1.2h}{130s})}{1 - \cos (2 \cdot π \cdot \frac{1.2h}{130s})}}

Next Step Substitute values of Constants

∴

a o = \frac{4.51m}{\frac{\sin (2 \cdot 3.1416 \cdot \frac{1.2h}{130s})}{1 - \cos (2 \cdot 3.1416 \cdot \frac{1.2h}{130s})}}

Next Step Convert Units

∴

a o = \frac{4.51m}{\frac{\sin (2 \cdot 3.1416 \cdot \frac{4320s}{130s})}{1 - \cos (2 \cdot 3.1416 \cdot \frac{4320s}{130s})}}

Next Step Prepare to Evaluate

∴

a o = \frac{4.51}{\frac{\sin (2 \cdot 3.1416 \cdot \frac{4320}{130})}{1 - \cos (2 \cdot 3.1416 \cdot \frac{4320}{130})}}

Next Step Evaluate

∴

a o = 3.99551134833178m

LAST Step Rounding Answer

∴

a o = 3.9955m

Tidal Amplitude in Ocean Formula Elements

Variables

Constants

Functions

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

Bay Superelevation

Bay Superelevation means that the average level of the bay is greater than the average elevation of the ocean over a given time period.

Symbol: Δ_BS

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Bay Superelevation

Duration of Inflow

Duration of Inflow is the period over which a stream or river carries a consistent flow of water into a system.

Symbol: t

Measurement: TimeUnit: h

Note: Value can be positive or negative.

Formulas to find Duration of Inflow

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

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Bay Superelevation category

Go Superelevation

Δ BS = a o \cdot (\frac{\sin (2 \cdot π \cdot \frac{t}{T})}{1 - \cos (2 \cdot π \cdot \frac{t}{T})})

Go Superelevation due to Varying Entrance Channel Cross-Section

S = a o \cdot (1 - (\frac{{(\frac{a B}{a o})}^{2}}{4 \cdot (\frac{D t}{a o})}) - (\frac{a o}{m \cdot W}) \cdot (0.5 - (\frac{a B}{a o}) \cdot \cos (k) - ((\frac{3}{2}) \cdot {(\frac{a B}{a o})}^{2}) + 4 \cdot {(\frac{D t}{a o})}^{2}))

Go Depth given Water Surface Slope

h = \frac{Δ \cdot τ}{β \cdot ρ water \cdot [g]}

How to Evaluate Tidal Amplitude in Ocean?

Tidal Amplitude in Ocean evaluator uses Ocean Tide Amplitude = Bay Superelevation/(sin(2*pi*Duration of Inflow/Tidal Period)/(1-cos(2*pi*Duration of Inflow/Tidal Period))) to evaluate the Ocean Tide Amplitude, The Tidal Amplitude in Ocean 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 Tidal Amplitude in Ocean using this online evaluator? To use this online evaluator for Tidal Amplitude in Ocean, enter Bay Superelevation (Δ_BS), Duration of Inflow (t) & Tidal Period (T) and hit the calculate button.

FAQs on Tidal Amplitude in Ocean

What is the formula to find Tidal Amplitude in Ocean?

The formula of Tidal Amplitude in Ocean is expressed as Ocean Tide Amplitude = Bay Superelevation/(sin(2*pi*Duration of Inflow/Tidal Period)/(1-cos(2*pi*Duration of Inflow/Tidal Period))). Here is an example- 3.995511 = 4.51/(sin(2*pi*4320/130)/(1-cos(2*pi*4320/130))).

How to calculate Tidal Amplitude in Ocean?

With Bay Superelevation (Δ_BS), Duration of Inflow (t) & Tidal Period (T) we can find Tidal Amplitude in Ocean using the formula - Ocean Tide Amplitude = Bay Superelevation/(sin(2*pi*Duration of Inflow/Tidal Period)/(1-cos(2*pi*Duration of Inflow/Tidal Period))). This formula also uses Archimedes' constant and , Sine (sin), Cosine (cos) function(s).

Can the Tidal Amplitude in Ocean be negative?

Yes, the Tidal Amplitude in Ocean, measured in Length can be negative.

Which unit is used to measure Tidal Amplitude in Ocean?

Tidal Amplitude in Ocean is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Tidal Amplitude in Ocean can be measured.

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Tidal Amplitude in Ocean Formula

Tidal Amplitude in Ocean Example

Tidal Amplitude in Ocean Solution

Tidal Amplitude in Ocean Formula Elements

Other formulas in Bay Superelevation category

How to Evaluate Tidal Amplitude in Ocean?

FAQs on Tidal Amplitude in Ocean

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