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Duration of Inflow given Inlet Channel Velocity Formula

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

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

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

Duration of Inflow given Inlet Channel Velocity Example

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Here is how the Duration of Inflow given Inlet Channel Velocity equation looks like with Values.

Here is how the Duration of Inflow given Inlet Channel Velocity equation looks like with Units.

Here is how the Duration of Inflow given Inlet Channel Velocity equation looks like.

0.0078 = \frac{a \sin (\frac{4.01}{4.1}) \cdot 130}{2 \cdot 3.1416}

0.0078h = \frac{a \sin (\frac{4.01m/s}{4.1m/s}) \cdot 130s}{2 \cdot 3.1416}

0.0078 = \frac{a \sin (\frac{4.01}{4.1}) \cdot 130}{2 \cdot 3.1416}

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Duration of Inflow given Inlet Channel Velocity Solution

Follow our step by step solution on how to calculate Duration of Inflow given Inlet Channel Velocity?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

t = \frac{a \sin (\frac{4.01m/s}{4.1m/s}) \cdot 130s}{2 \cdot π}

Next Step Substitute values of Constants

∴

t = \frac{a \sin (\frac{4.01m/s}{4.1m/s}) \cdot 130s}{2 \cdot 3.1416}

Next Step Convert Units

∴

t = \frac{a \sin (\frac{4.01m/s}{4.1m/s}) \cdot 0.0361h}{2 \cdot 3.1416}

Next Step Prepare to Evaluate

∴

t = \frac{a \sin (\frac{4.01}{4.1}) \cdot 0.0361}{2 \cdot 3.1416}

Next Step Evaluate

∴

t = 28.1568436299227s

Next Step Convert to Output's Unit

∴

t = 0.0078213454527563h

LAST Step Rounding Answer

∴

t = 0.0078h

Duration of Inflow given Inlet Channel Velocity Formula Elements

Variables

Constants

Functions

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

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

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

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)

asin

The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio.

Syntax: asin(Number)

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 Duration of Inflow given Inlet Channel Velocity?

Duration of Inflow given Inlet Channel Velocity evaluator uses Duration of Inflow = (asin(Inlet Velocity/Maximum Cross Sectional Average Velocity)*Tidal Period)/(2*pi) to evaluate the Duration of Inflow, The Duration of Inflow given Inlet Channel Velocity formula is defined as the time taken for a substance to travel through an inlet channel given its velocity. Duration of Inflow is denoted by t symbol.

How to evaluate Duration of Inflow given Inlet Channel Velocity using this online evaluator? To use this online evaluator for Duration of Inflow given Inlet Channel Velocity, enter Inlet Velocity (c₁), Maximum Cross Sectional Average Velocity (V_m) & Tidal Period (T) and hit the calculate button.

FAQs on Duration of Inflow given Inlet Channel Velocity

What is the formula to find Duration of Inflow given Inlet Channel Velocity?

The formula of Duration of Inflow given Inlet Channel Velocity is expressed as Duration of Inflow = (asin(Inlet Velocity/Maximum Cross Sectional Average Velocity)*Tidal Period)/(2*pi). Here is an example- 3.3E-7 = (asin(4.01/4.1)*130)/(2*pi).

How to calculate Duration of Inflow given Inlet Channel Velocity?

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

Can the Duration of Inflow given Inlet Channel Velocity be negative?

Yes, the Duration of Inflow given Inlet Channel Velocity, measured in Time can be negative.

Which unit is used to measure Duration of Inflow given Inlet Channel Velocity?

Duration of Inflow given Inlet Channel Velocity is usually measured using the Hour[h] for Time. Second[h], Millisecond[h], Microsecond[h] are the few other units in which Duration of Inflow given Inlet Channel Velocity can be measured.

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Duration of Inflow given Inlet Channel Velocity Formula

Duration of Inflow given Inlet Channel Velocity Example

Duration of Inflow given Inlet Channel Velocity Solution

Duration of Inflow given Inlet Channel Velocity Formula Elements

Other formulas in Inlet Currents and Tidal Elevations category

How to Evaluate Duration of Inflow given Inlet Channel Velocity?

FAQs on Duration of Inflow given Inlet Channel Velocity

Variable Name