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Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity Formula

GoMaximum Cross-Sectionally Averaged Velocity during Tidal Cycle Formula

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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. Check FAQs

V m = \frac{c 1}{\sin (2 \cdot π \cdot \frac{t}{T})}

V_m - Maximum Cross Sectional Average Velocity?c₁ - Inlet Velocity?t - Duration of Inflow?T - Tidal Period?π - Archimedes' constant?

Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity Example

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Here is how the Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity equation looks like with Units.

Here is how the Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity equation looks like.

4.0395 = \frac{4.01}{\sin (2 \cdot 3.1416 \cdot \frac{1.2}{130})}

4.0395m/s = \frac{4.01m/s}{\sin (2 \cdot 3.1416 \cdot \frac{1.2h}{130s})}

4.0395 = \frac{4.01}{\sin (2 \cdot 3.1416 \cdot \frac{1.2}{130})}

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Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity Solution

Follow our step by step solution on how to calculate Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity?

FIRST Step Consider the formula

V m = \frac{c 1}{\sin (2 \cdot π \cdot \frac{t}{T})}

Next Step Substitute values of Variables

∴

V m = \frac{4.01m/s}{\sin (2 \cdot π \cdot \frac{1.2h}{130s})}

Next Step Substitute values of Constants

∴

V m = \frac{4.01m/s}{\sin (2 \cdot 3.1416 \cdot \frac{1.2h}{130s})}

Next Step Convert Units

∴

V m = \frac{4.01m/s}{\sin (2 \cdot 3.1416 \cdot \frac{1.2h}{0.0361h})}

Next Step Prepare to Evaluate

∴

V m = \frac{4.01}{\sin (2 \cdot 3.1416 \cdot \frac{1.2}{0.0361})}

Next Step Evaluate

∴

V m = 4.03945215423137m/s

LAST Step Rounding Answer

∴

V m = 4.0395m/s

Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity Formula Elements

Variables

Constants

Functions

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

Inlet Velocity

Inlet Velocity is the velocity of the flow at state 1 or inlet.

Symbol: c₁

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Inlet Velocity

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)

Other Formulas to find Maximum Cross Sectional Average Velocity

Go Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle

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

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 Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity?

Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity evaluator uses Maximum Cross Sectional Average Velocity = Inlet Velocity/sin(2*pi*Duration of Inflow/Tidal Period) to evaluate the Maximum Cross Sectional Average Velocity, The Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity formula is defined as the maximum velocity parameter influencing King’s dimensionless velocity and inlet channel velocity during tidal cycle. Maximum Cross Sectional Average Velocity is denoted by V_m symbol.

How to evaluate Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity using this online evaluator? To use this online evaluator for Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity, enter Inlet Velocity (c₁), Duration of Inflow (t) & Tidal Period (T) and hit the calculate button.

FAQs on Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity

What is the formula to find Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity?

The formula of Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity is expressed as Maximum Cross Sectional Average Velocity = Inlet Velocity/sin(2*pi*Duration of Inflow/Tidal Period). Here is an example- 0.856243 = 4.01/sin(2*pi*4320/130).

How to calculate Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity?

With Inlet Velocity (c₁), Duration of Inflow (t) & Tidal Period (T) we can find Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity using the formula - Maximum Cross Sectional Average Velocity = Inlet Velocity/sin(2*pi*Duration of Inflow/Tidal Period). This formula also uses Archimedes' constant and Sine function(s).

What are the other ways to Calculate Maximum Cross Sectional Average Velocity?

Here are the different ways to Calculate Maximum Cross Sectional Average Velocity-

Maximum Cross Sectional Average Velocity=(King’s Dimensionless Velocity*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/(Average Area over the Channel Length*Tidal Period)

Can the Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity be negative?

Yes, the Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity, measured in Speed can be negative.

Which unit is used to measure Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity?

Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity can be measured.

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Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity Formula

​GoMaximum Cross-Sectionally Averaged Velocity during Tidal Cycle Formula

Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity Example

Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity Solution

Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity Formula Elements

Other Formulas to find Maximum Cross Sectional Average Velocity

Other formulas in Inlet Currents and Tidal Elevations category

How to Evaluate Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity?

FAQs on Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity

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GoMaximum Cross-Sectionally Averaged Velocity during Tidal Cycle Formula