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Maximum Velocity of Solitary Wave Formula

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Maximum Velocity of Solitary Wave is the rate of change of its position with respect to a frame of reference, and is a function of time. Check FAQs

u max = \frac{C \cdot N}{1 + \cos (M \cdot \frac{y}{D w})}

u_max - Maximum Velocity of Solitary Wave?C - Celerity of the Wave?N - Function of H/d as N?M - Function of Wave Height?y - Elevation above the Bottom?D_w - Water Depth from Bed?

Maximum Velocity of Solitary Wave Example

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Here is how the Maximum Velocity of Solitary Wave equation looks like with Values.

Here is how the Maximum Velocity of Solitary Wave equation looks like with Units.

Here is how the Maximum Velocity of Solitary Wave equation looks like.

6.024 = \frac{24.05 \cdot 0.5}{1 + \cos (0.8 \cdot \frac{4.92}{45})}

6.024m/s = \frac{24.05m/s \cdot 0.5}{1 + \cos (0.8 \cdot \frac{4.92m}{45m})}

6.024 = \frac{24.05 \cdot 0.5}{1 + \cos (0.8 \cdot \frac{4.92}{45})}

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Maximum Velocity of Solitary Wave Solution

Follow our step by step solution on how to calculate Maximum Velocity of Solitary Wave?

FIRST Step Consider the formula

u max = \frac{C \cdot N}{1 + \cos (M \cdot \frac{y}{D w})}

Next Step Substitute values of Variables

∴

u max = \frac{24.05m/s \cdot 0.5}{1 + \cos (0.8 \cdot \frac{4.92m}{45m})}

Next Step Prepare to Evaluate

∴

u max = \frac{24.05 \cdot 0.5}{1 + \cos (0.8 \cdot \frac{4.92}{45})}

Next Step Evaluate

∴

u max = 6.02401421283649m/s

LAST Step Rounding Answer

∴

u max = 6.024m/s

Maximum Velocity of Solitary Wave Formula Elements

Variables

Functions

Maximum Velocity of Solitary Wave

Maximum Velocity of Solitary Wave is the rate of change of its position with respect to a frame of reference, and is a function of time.

Symbol: u_max

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Maximum Velocity of Solitary Wave

Celerity of the Wave

Celerity of the Wave refers to the speed at which a wave propagates through a medium.

Symbol: C

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Celerity of the Wave

Function of H/d as N

Function of H/d as N obtained from the graph of functions M and N in Solitary Wave Theory (Munk, 1949).

Symbol: N

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Function of H/d as N

Function of Wave Height

Function of Wave Height typically describes how the height of waves is influenced by various factors such as wind speed, wind duration, and the fetch.

Symbol: M

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Function of Wave Height

Elevation above the Bottom

Elevation above the Bottom refers to the height or depth of an object or feature above the seabed or ocean floor.

Symbol: y

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Elevation above the Bottom

Water Depth from Bed

Water Depth from Bed means the depth as measured from the water level to the bottom of the considered water body.

Symbol: D_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Water Depth from Bed

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Solitary Wave category

Go Volume of Water above Still Water Level per Unit Crest Width

V = {((\frac{16}{3}) \cdot {D w}^{3} \cdot H w)}^{0.5}

Go Water Depth given Volume of Water within Wave above Still Water Level

D w = {(\frac{{(V)}^{2}}{(\frac{16}{3}) \cdot H w})}^{\frac{1}{3}}

Go Water Surface above Bottom

y s' = D w + H w \cdot {(sech (\sqrt{(\frac{3}{4}) \cdot (\frac{H w}{{D w}^{3}})} \cdot (x - (C \cdot t))))}^{2}

Go Wave Height given Celerity of Solitary Wave

H w = (\frac{C^{2}}{[g]}) - D w

How to Evaluate Maximum Velocity of Solitary Wave?

Maximum Velocity of Solitary Wave evaluator uses Maximum Velocity of Solitary Wave = (Celerity of the Wave*Function of H/d as N)/(1+cos(Function of Wave Height*Elevation above the Bottom/Water Depth from Bed)) to evaluate the Maximum Velocity of Solitary Wave, The Maximum Velocity of Solitary Wave is defined as the velocity of a wave, equal to the product of its wavelength and frequency (number of vibrations per second) and is independent of its intensity. Maximum Velocity of Solitary Wave is denoted by u_max symbol.

How to evaluate Maximum Velocity of Solitary Wave using this online evaluator? To use this online evaluator for Maximum Velocity of Solitary Wave, enter Celerity of the Wave (C), Function of H/d as N (N), Function of Wave Height (M), Elevation above the Bottom (y) & Water Depth from Bed (D_w) and hit the calculate button.

FAQs on Maximum Velocity of Solitary Wave

What is the formula to find Maximum Velocity of Solitary Wave?

The formula of Maximum Velocity of Solitary Wave is expressed as Maximum Velocity of Solitary Wave = (Celerity of the Wave*Function of H/d as N)/(1+cos(Function of Wave Height*Elevation above the Bottom/Water Depth from Bed)). Here is an example- 6.024014 = (24.05*0.5)/(1+cos(0.8*4.92/45)).

How to calculate Maximum Velocity of Solitary Wave?

With Celerity of the Wave (C), Function of H/d as N (N), Function of Wave Height (M), Elevation above the Bottom (y) & Water Depth from Bed (D_w) we can find Maximum Velocity of Solitary Wave using the formula - Maximum Velocity of Solitary Wave = (Celerity of the Wave*Function of H/d as N)/(1+cos(Function of Wave Height*Elevation above the Bottom/Water Depth from Bed)). This formula also uses Cosine (cos) function(s).

Can the Maximum Velocity of Solitary Wave be negative?

No, the Maximum Velocity of Solitary Wave, measured in Speed cannot be negative.

Which unit is used to measure Maximum Velocity of Solitary Wave?

Maximum Velocity of Solitary 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 Maximum Velocity of Solitary Wave can be measured.

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Maximum Velocity of Solitary Wave Formula

Maximum Velocity of Solitary Wave Example

Maximum Velocity of Solitary Wave Solution

Maximum Velocity of Solitary Wave Formula Elements

Other formulas in Solitary Wave category

How to Evaluate Maximum Velocity of Solitary Wave?

FAQs on Maximum Velocity of Solitary Wave

Variable Name