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Celerity of Wave given Two Depths Formula

GoCelerity of Wave in Non Uniform Flow Formula

GoCelerity of Wave from Lagrange's Celerity Equation Formula

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

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

C_w - Celerity of Wave?D₂ - Depth of Point 2?h ₁ - Depth of Point 1?[g] - Gravitational acceleration on Earth?

Celerity of Wave given Two Depths Example

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Here is how the Celerity of Wave given Two Depths equation looks like with Values.

Here is how the Celerity of Wave given Two Depths equation looks like with Units.

Here is how the Celerity of Wave given Two Depths equation looks like.

13.56 = \sqrt{\frac{9.8066 \cdot 15 \cdot (15 + 10)}{2 \cdot 10}}

13.56m/s = \sqrt{\frac{9.8066m/s² \cdot 15m \cdot (15m + 10m)}{2 \cdot 10m}}

13.56 = \sqrt{\frac{9.8066 \cdot 15 \cdot (15 + 10)}{2 \cdot 10}}

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Celerity of Wave given Two Depths Solution

Follow our step by step solution on how to calculate Celerity of Wave given Two Depths?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C w = \sqrt{\frac{[g] \cdot 15m \cdot (15m + 10m)}{2 \cdot 10m}}

Next Step Substitute values of Constants

∴

C w = \sqrt{\frac{9.8066m/s² \cdot 15m \cdot (15m + 10m)}{2 \cdot 10m}}

Next Step Prepare to Evaluate

∴

C w = \sqrt{\frac{9.8066 \cdot 15 \cdot (15 + 10)}{2 \cdot 10}}

Next Step Evaluate

∴

C w = 13.5600400994982m/s

LAST Step Rounding Answer

∴

C w = 13.56m/s

Celerity of Wave given Two Depths 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 2

Depth of Point 2 is the depth of point below the free surface in a static mass of liquid.

Symbol: D₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Point 2

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 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}))}

Go Celerity of Wave from Lagrange's Celerity Equation

C w = \sqrt{[g] \cdot 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 given Two Depths?

Celerity of Wave given Two Depths evaluator uses Celerity of Wave = sqrt(([g]*Depth of Point 2*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1)) to evaluate the Celerity of Wave, The Celerity of Wave given Two Depths is defined as the addition to the normal water velocity of the channels in open channel flow. Celerity of Wave is denoted by C_w symbol.

How to evaluate Celerity of Wave given Two Depths using this online evaluator? To use this online evaluator for Celerity of Wave given Two Depths, enter Depth of Point 2 (D₂) & Depth of Point 1 (h ₁) and hit the calculate button.

FAQs on Celerity of Wave given Two Depths

What is the formula to find Celerity of Wave given Two Depths?

The formula of Celerity of Wave given Two Depths is expressed as Celerity of Wave = sqrt(([g]*Depth of Point 2*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1)). Here is an example- 13.56004 = sqrt(([g]*15*(15+10))/(2*10)).

How to calculate Celerity of Wave given Two Depths?

With Depth of Point 2 (D₂) & Depth of Point 1 (h ₁) we can find Celerity of Wave given Two Depths using the formula - Celerity of Wave = sqrt(([g]*Depth of Point 2*(Depth of Point 2+Depth of Point 1))/(2*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 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)))
Celerity of Wave=sqrt([g]*Depth of Point 1)

Can the Celerity of Wave given Two Depths be negative?

No, the Celerity of Wave given Two Depths, measured in Speed cannot be negative.

Which unit is used to measure Celerity of Wave given Two Depths?

Celerity of Wave given Two Depths 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 given Two Depths can be measured.

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: Value
: Unit

Celerity of Wave given Two Depths Formula

​GoCelerity of Wave in Non Uniform Flow Formula

​GoCelerity of Wave from Lagrange's Celerity Equation Formula

Celerity of Wave given Two Depths Example

Celerity of Wave given Two Depths Solution

Celerity of Wave given Two Depths Formula Elements

Other Formulas to find Celerity of Wave

Other formulas in Surge due to Sudden Increase of Flow category

How to Evaluate Celerity of Wave given Two Depths?

FAQs on Celerity of Wave given Two Depths

Variable Name

GoCelerity of Wave in Non Uniform Flow Formula

GoCelerity of Wave from Lagrange's Celerity Equation Formula