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Celerity of Wave from Lagrange's Celerity Equation Formula

GoCelerity of Wave given Two Depths Formula

GoCelerity of Wave in Non Uniform Flow Formula

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Celerity of Wave is the addition to the normal water velocity of the channels. Check FAQs

C w = \sqrt{[g] \cdot h 1}

C_w - Celerity of Wave?h ₁ - Depth of Point 1?[g] - Gravitational acceleration on Earth?

Celerity of Wave from Lagrange's Celerity Equation Example

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Here is how the Celerity of Wave from Lagrange's Celerity Equation equation looks like with Values.

Here is how the Celerity of Wave from Lagrange's Celerity Equation equation looks like with Units.

Here is how the Celerity of Wave from Lagrange's Celerity Equation equation looks like.

9.9029 = \sqrt{9.8066 \cdot 10}

9.9029m/s = \sqrt{9.8066m/s² \cdot 10m}

9.9029 = \sqrt{9.8066 \cdot 10}

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Celerity of Wave from Lagrange's Celerity Equation Solution

Follow our step by step solution on how to calculate Celerity of Wave from Lagrange's Celerity Equation?

FIRST Step Consider the formula

C w = \sqrt{[g] \cdot h 1}

Next Step Substitute values of Variables

∴

C w = \sqrt{[g] \cdot 10m}

Next Step Substitute values of Constants

∴

C w = \sqrt{9.8066m/s² \cdot 10m}

Next Step Prepare to Evaluate

∴

C w = \sqrt{9.8066 \cdot 10}

Next Step Evaluate

∴

C w = 9.90285312422637m/s

LAST Step Rounding Answer

∴

C w = 9.9029m/s

Celerity of Wave from Lagrange's Celerity Equation Formula Elements

Variables

Constants

Functions

Celerity of Wave

Celerity of Wave is the addition to the normal water velocity of the channels.

Symbol: C_w

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Celerity of Wave

Depth of Point 1

Depth of Point 1 is the depth of point below the free surface in a static mass of liquid.

Symbol: h ₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Point 1

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

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 to find Celerity of Wave

Go Celerity of Wave given Two Depths

C w = \sqrt{\frac{[g] \cdot D 2 \cdot (D 2 + h 1)}{2 \cdot h 1}}

Go Celerity of Wave in Non Uniform Flow

C w = \sqrt{[g] \cdot h 1 \cdot (1 + 1.5 \cdot (\frac{H ch}{h 1}) + 0.5 \cdot (\frac{H ch}{h 1}) \cdot (\frac{H ch}{h 1}))}

Other formulas in Surge due to Sudden Increase of Flow category

Go Absolute Velocity of Surge Moving towards Right

v abs = \frac{V 1 \cdot h 1 - V 2 \cdot D 2}{h 1 - D 2}

Go Depth of Flow given Absolute Velocity of Surge Moving towards Right with Depth

h 1 = (\frac{v abs - V 2}{v abs - V 1}) \cdot D 2

Go Depth of Flow at Point given Absolute Velocity of Surge Moving towards Right

D 2 = \frac{h 1}{\frac{v abs - V 2}{v abs - V 1}}

Go Absolute Velocity of Surge Moving towards Right in Negative Surges

v abs = V 1 + \sqrt{\frac{[g] \cdot D 2 \cdot (D 2 + h 1)}{2 \cdot h 1}}

How to Evaluate Celerity of Wave from Lagrange's Celerity Equation?

Celerity of Wave from Lagrange's Celerity Equation evaluator uses Celerity of Wave = sqrt([g]*Depth of Point 1) to evaluate the Celerity of Wave, The Celerity of Wave from Lagrange's Celerity Equation formula is defined as sudden changes of flow depth creates Celerity (Wave Velocity) in the flow in addition to the normal water velocity of the channels. Celerity of Wave is denoted by C_w symbol.

How to evaluate Celerity of Wave from Lagrange's Celerity Equation using this online evaluator? To use this online evaluator for Celerity of Wave from Lagrange's Celerity Equation, enter Depth of Point 1 (h ₁) and hit the calculate button.

FAQs on Celerity of Wave from Lagrange's Celerity Equation

What is the formula to find Celerity of Wave from Lagrange's Celerity Equation?

The formula of Celerity of Wave from Lagrange's Celerity Equation is expressed as Celerity of Wave = sqrt([g]*Depth of Point 1). Here is an example- 9.902853 = sqrt([g]*10).

How to calculate Celerity of Wave from Lagrange's Celerity Equation?

With Depth of Point 1 (h ₁) we can find Celerity of Wave from Lagrange's Celerity Equation using the formula - Celerity of Wave = sqrt([g]*Depth of Point 1). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

What are the other ways to Calculate Celerity of Wave?

Here are the different ways to Calculate Celerity of Wave-

Celerity of Wave=sqrt(([g]*Depth of Point 2*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1))
Celerity of Wave=sqrt([g]*Depth of Point 1*(1+1.5*(Height of Channel/Depth of Point 1)+0.5*(Height of Channel/Depth of Point 1)*(Height of Channel/Depth of Point 1)))

Can the Celerity of Wave from Lagrange's Celerity Equation be negative?

No, the Celerity of Wave from Lagrange's Celerity Equation, measured in Speed cannot be negative.

Which unit is used to measure Celerity of Wave from Lagrange's Celerity Equation?

Celerity of Wave from Lagrange's Celerity Equation 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 Celerity of Wave from Lagrange's Celerity Equation can be measured.

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