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Propagation velocity of tide wave Formula

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

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

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

Propagation velocity of tide wave Example

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Here is how the Propagation velocity of tide wave equation looks like with Values.

Here is how the Propagation velocity of tide wave equation looks like with Units.

Here is how the Propagation velocity of tide wave equation looks like.

13.0377 = \sqrt{9.8066 \cdot 26 \cdot (1 - {\tan (30)}^{2})}

13.0377m/s = \sqrt{9.8066m/s² \cdot 26m \cdot (1 - {\tan (30°)}^{2})}

13.0377 = \sqrt{9.8066 \cdot 26 \cdot (1 - {\tan (30)}^{2})}

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Propagation velocity of tide wave Solution

Follow our step by step solution on how to calculate Propagation velocity of tide wave?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

v = \sqrt{[g] \cdot 26m \cdot (1 - {\tan (30°)}^{2})}

Next Step Substitute values of Constants

∴

v = \sqrt{9.8066m/s² \cdot 26m \cdot (1 - {\tan (30°)}^{2})}

Next Step Convert Units

∴

v = \sqrt{9.8066m/s² \cdot 26m \cdot (1 - {\tan (0.5236rad)}^{2})}

Next Step Prepare to Evaluate

∴

v = \sqrt{9.8066 \cdot 26 \cdot (1 - {\tan (0.5236)}^{2})}

Next Step Evaluate

∴

v = 13.037711966957m/s

LAST Step Rounding Answer

∴

v = 13.0377m/s

Propagation velocity of tide wave Formula Elements

Variables

Constants

Functions

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

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

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)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in River Navigation category

Go Average Depth given Propagation Velocity of Tide Wave

h' = \frac{v^{2}}{[g] \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 Propagation velocity of tide wave?

Propagation velocity of tide wave evaluator uses Wave Speed = sqrt([g]*Average Depth*(1-tan(Friction Factor in Terms of Degree)^2)) to evaluate the Wave Speed, The Propagation velocity of tide wave formula is defined as the prediction of the water depth at each shallow channel reaching at the time of arrival of the ship. Wave Speed is denoted by v symbol.

How to evaluate Propagation velocity of tide wave using this online evaluator? To use this online evaluator for Propagation velocity of tide wave, enter Average Depth (h') & Friction Factor in Terms of Degree (Θ_f) and hit the calculate button.

FAQs on Propagation velocity of tide wave

What is the formula to find Propagation velocity of tide wave?

The formula of Propagation velocity of tide wave is expressed as Wave Speed = sqrt([g]*Average Depth*(1-tan(Friction Factor in Terms of Degree)^2)). Here is an example- 13.03771 = sqrt([g]*26*(1-tan(0.5235987755982)^2)).

How to calculate Propagation velocity of tide wave?

With Average Depth (h') & Friction Factor in Terms of Degree (Θ_f) we can find Propagation velocity of tide wave using the formula - Wave Speed = sqrt([g]*Average Depth*(1-tan(Friction Factor in Terms of Degree)^2)). This formula also uses Gravitational acceleration on Earth constant(s) and , Tangent (tan), Square Root (sqrt) function(s).

Can the Propagation velocity of tide wave be negative?

Yes, the Propagation velocity of tide wave, measured in Speed can be negative.

Which unit is used to measure Propagation velocity of tide wave?

Propagation velocity of tide wave 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 Propagation velocity of tide wave can be measured.

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