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Average Depth given Propagation Velocity of Tide Wave Formula

GoAverage Depth given Friction Factor for 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{v^{2}}{[g] \cdot (1 - {\tan (Θ f)}^{2})}

h' - Average Depth?v - Wave Speed?Θ_f - Friction Factor in Terms of Degree?[g] - Gravitational acceleration on Earth?

Average Depth given Propagation Velocity of Tide Wave Example

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

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

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

27.0566 = \frac{{13.3}^{2}}{9.8066 \cdot (1 - {\tan (30)}^{2})}

27.0566m = \frac{{13.3m/s}^{2}}{9.8066m/s² \cdot (1 - {\tan (30°)}^{2})}

27.0566 = \frac{{13.3}^{2}}{9.8066 \cdot (1 - {\tan (30)}^{2})}

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Average Depth given Propagation Velocity of Tide Wave Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h' = \frac{{13.3m/s}^{2}}{[g] \cdot (1 - {\tan (30°)}^{2})}

Next Step Substitute values of Constants

∴

h' = \frac{{13.3m/s}^{2}}{9.8066m/s² \cdot (1 - {\tan (30°)}^{2})}

Next Step Convert Units

∴

h' = \frac{{13.3m/s}^{2}}{9.8066m/s² \cdot (1 - {\tan (0.5236rad)}^{2})}

Next Step Prepare to Evaluate

∴

h' = \frac{{13.3}^{2}}{9.8066 \cdot (1 - {\tan (0.5236)}^{2})}

Next Step Evaluate

∴

h' = 27.0566401370499m

LAST Step Rounding Answer

∴

h' = 27.0566m

Average Depth given 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

Wave Speed

Wave Speed is the rate at which a wave travels through a medium, measured in distance per unit time.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Wave Speed

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

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 Friction Factor for Propagation Velocity of Tide Wave

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

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 Propagation Velocity of Tide Wave?

Average Depth given Propagation Velocity of Tide Wave evaluator uses Average Depth = Wave Speed^2/([g]*(1-tan(Friction Factor in Terms of Degree)^2)) to evaluate the Average Depth, The Average Depth given Propagation Velocity of Tide Wave formula is defined as the parameter influencing prediction of water depth at each shallow channel reaching at the time of arrival of ship. Average Depth is denoted by h' symbol.

How to evaluate Average Depth given Propagation Velocity of Tide Wave using this online evaluator? To use this online evaluator for Average Depth given Propagation Velocity of Tide Wave, enter Wave Speed (v) & Friction Factor in Terms of Degree (Θ_f) and hit the calculate button.

FAQs on Average Depth given Propagation Velocity of Tide Wave

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

The formula of Average Depth given Propagation Velocity of Tide Wave is expressed as Average Depth = Wave Speed^2/([g]*(1-tan(Friction Factor in Terms of Degree)^2)). Here is an example- 382.3936 = 13.3^2/([g]*(1-tan(0.5235987755982)^2)).

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

With Wave Speed (v) & Friction Factor in Terms of Degree (Θ_f) we can find Average Depth given Propagation Velocity of Tide Wave using the formula - Average Depth = Wave Speed^2/([g]*(1-tan(Friction Factor in Terms of Degree)^2)). This formula also uses Gravitational acceleration on Earth constant(s) 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=(Tidal Period*8*[g]*Maximum Flood Current)/(6*pi^2*Chezy's Constant^2*tan(Friction Factor in Terms of Degree/0.5))

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

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

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

Average Depth given 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 Propagation Velocity of Tide Wave can be measured.

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