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Average Depth given Friction Factor for Propagation Velocity of Tide Wave Formula

GoAverage Depth given Propagation Velocity of Tide Wave Formula

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Average Depth refers to the mean depth of the entire body of water. Check FAQs

h' = \frac{T \cdot 8 \cdot [g] \cdot V max}{6 \cdot π^{2} \cdot C^{2} \cdot \tan (\frac{Θ f}{0.5})}

h' - Average Depth?T - Tidal Period?V_max - Maximum Flood Current?C - Chezy's Constant?Θ_f - Friction Factor in Terms of Degree?[g] - Gravitational acceleration on Earth?π - Archimedes' constant?

Average Depth given Friction Factor for Propagation Velocity of Tide Wave Example

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Here is how the Average Depth given Friction Factor for Propagation Velocity of Tide Wave equation looks like with Values.

Here is how the Average Depth given Friction Factor for Propagation Velocity of Tide Wave equation looks like with Units.

Here is how the Average Depth given Friction Factor for Propagation Velocity of Tide Wave equation looks like.

26 = \frac{130 \cdot 8 \cdot 9.8066 \cdot 58.832}{6 \cdot {3.1416}^{2} \cdot 15^{2} \cdot \tan (\frac{30}{0.5})}

26m = \frac{130s \cdot 8 \cdot 9.8066m/s² \cdot 58.832m³/s}{6 \cdot {3.1416}^{2} \cdot 15^{2} \cdot \tan (\frac{30°}{0.5})}

26 = \frac{130 \cdot 8 \cdot 9.8066 \cdot 58.832}{6 \cdot {3.1416}^{2} \cdot 15^{2} \cdot \tan (\frac{30}{0.5})}

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Average Depth given Friction Factor for Propagation Velocity of Tide Wave Solution

Follow our step by step solution on how to calculate Average Depth given Friction Factor for Propagation Velocity of Tide Wave?

FIRST Step Consider the formula

h' = \frac{T \cdot 8 \cdot [g] \cdot V max}{6 \cdot π^{2} \cdot C^{2} \cdot \tan (\frac{Θ f}{0.5})}

Next Step Substitute values of Variables

∴

h' = \frac{130s \cdot 8 \cdot [g] \cdot 58.832m³/s}{6 \cdot π^{2} \cdot 15^{2} \cdot \tan (\frac{30°}{0.5})}

Next Step Substitute values of Constants

∴

h' = \frac{130s \cdot 8 \cdot 9.8066m/s² \cdot 58.832m³/s}{6 \cdot {3.1416}^{2} \cdot 15^{2} \cdot \tan (\frac{30°}{0.5})}

Next Step Convert Units

∴

h' = \frac{130s \cdot 8 \cdot 9.8066m/s² \cdot 58.832m³/s}{6 \cdot {3.1416}^{2} \cdot 15^{2} \cdot \tan (\frac{0.5236rad}{0.5})}

Next Step Prepare to Evaluate

∴

h' = \frac{130 \cdot 8 \cdot 9.8066 \cdot 58.832}{6 \cdot {3.1416}^{2} \cdot 15^{2} \cdot \tan (\frac{0.5236}{0.5})}

Next Step Evaluate

∴

h' = 26.0000082728785m

LAST Step Rounding Answer

∴

h' = 26m

Average Depth given Friction Factor for Propagation Velocity of Tide Wave Formula Elements

Variables

Constants

Functions

Average Depth

Average Depth refers to the mean depth of the entire body of water.

Symbol: h'

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Average Depth

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

Maximum Flood Current

Maximum Flood Current refers to the peak flow rate of water during the flood tide phase of a tidal cycle. It is the highest speed at which water moves in a tidal system as the tide rises.

Symbol: V_max

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Maximum Flood Current

Chezy's Constant

Chezy's Constant is a dimensionless quantity used in the Chezy formula that estimates the mean flow velocity in open channel conduits.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Chezy's Constant

Friction Factor in Terms of Degree

Friction Factor in terms of Degree referred to the measure of resistance of fluid flow in terms of degree.

Symbol: Θ_f

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Friction Factor in Terms of Degree

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other Formulas to find Average Depth

Go Average Depth given Propagation Velocity of Tide Wave

h' = \frac{v^{2}}{[g] \cdot (1 - {\tan (Θ f)}^{2})}

Other formulas in River Navigation category

Go Propagation velocity of tide wave

v = \sqrt{[g] \cdot h' \cdot (1 - {\tan (Θ f)}^{2})}

Go Friction Factor for Propagation Velocity of Tide Wave

Θ f = 0.5 \cdot a \tan (T \cdot 8 \cdot [g] \cdot \frac{V max}{6 \cdot π^{2} \cdot C^{2} \cdot h'})

Go Tidal Period for Friction Factor and Propagation Velocity of Tide Wave

T = \frac{6 \cdot (π^{2}) \cdot (C^{2}) \cdot h' \cdot \tan (\frac{Θ f}{0.5})}{8 \cdot [g] \cdot V max}

Go Maximum Flood Current given Friction Factor for Propagation Velocity of Tide Wave

V max = \frac{6 \cdot π^{2} \cdot C^{2} \cdot h' \cdot \tan (\frac{Θ f}{0.5})}{T \cdot 8 \cdot [g]}

How to Evaluate Average Depth given Friction Factor for Propagation Velocity of Tide Wave?

Average Depth given Friction Factor for Propagation Velocity of Tide Wave evaluator uses Average Depth = (Tidal Period*8*[g]*Maximum Flood Current)/(6*pi^2*Chezy's Constant^2*tan(Friction Factor in Terms of Degree/0.5)) to evaluate the Average Depth, The Average Depth given Friction Factor for Propagation Velocity of Tide Wave formula is defined as parameter influencing prediction of water depth at each shallow channel reach at time of arrival of ship. Average Depth is denoted by h' symbol.

How to evaluate Average Depth given Friction Factor for Propagation Velocity of Tide Wave using this online evaluator? To use this online evaluator for Average Depth given Friction Factor for Propagation Velocity of Tide Wave, enter Tidal Period (T), Maximum Flood Current (V_max), Chezy's Constant (C) & Friction Factor in Terms of Degree (Θ_f) and hit the calculate button.

FAQs on Average Depth given Friction Factor for Propagation Velocity of Tide Wave

What is the formula to find Average Depth given Friction Factor for Propagation Velocity of Tide Wave?

The formula of Average Depth given Friction Factor for Propagation Velocity of Tide Wave is expressed as Average Depth = (Tidal Period*8*[g]*Maximum Flood Current)/(6*pi^2*Chezy's Constant^2*tan(Friction Factor in Terms of Degree/0.5)). Here is an example- 26.00001 = (130*8*[g]*58.832)/(6*pi^2*15^2*tan(0.5235987755982/0.5)).

How to calculate Average Depth given Friction Factor for Propagation Velocity of Tide Wave?

With Tidal Period (T), Maximum Flood Current (V_max), Chezy's Constant (C) & Friction Factor in Terms of Degree (Θ_f) we can find Average Depth given Friction Factor for Propagation Velocity of Tide Wave using the formula - Average Depth = (Tidal Period*8*[g]*Maximum Flood Current)/(6*pi^2*Chezy's Constant^2*tan(Friction Factor in Terms of Degree/0.5)). This formula also uses Gravitational acceleration on Earth, Archimedes' constant and Tangent (tan) function(s).

What are the other ways to Calculate Average Depth?

Here are the different ways to Calculate Average Depth-

Average Depth=Wave Speed^2/([g]*(1-tan(Friction Factor in Terms of Degree)^2))

Can the Average Depth given Friction Factor for Propagation Velocity of Tide Wave be negative?

No, the Average Depth given Friction Factor for Propagation Velocity of Tide Wave, measured in Length cannot be negative.

Which unit is used to measure Average Depth given Friction Factor for Propagation Velocity of Tide Wave?

Average Depth given Friction Factor for Propagation Velocity of Tide Wave is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Average Depth given Friction Factor for Propagation Velocity of Tide Wave can be measured.

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Average Depth given Friction Factor for Propagation Velocity of Tide Wave Formula

​GoAverage Depth given Propagation Velocity of Tide Wave Formula

Average Depth given Friction Factor for Propagation Velocity of Tide Wave Example

Average Depth given Friction Factor for Propagation Velocity of Tide Wave Solution

Average Depth given Friction Factor for Propagation Velocity of Tide Wave Formula Elements

Other Formulas to find Average Depth

Other formulas in River Navigation category

How to Evaluate Average Depth given Friction Factor for Propagation Velocity of Tide Wave?

FAQs on Average Depth given Friction Factor for Propagation Velocity of Tide Wave

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GoAverage Depth given Propagation Velocity of Tide Wave Formula