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Critical Velocity given Depth of Section Formula

GoCritical Velocity given Total Energy at Critical Point Formula

GoCritical Velocity given Head Loss Formula

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The Critical velocity is the greatest velocity with which a fluid can flow through a given conduit without becoming turbulent. Check FAQs

V c = \sqrt{\frac{d \cdot g}{1.55}}

V_c - Critical Velocity?d - Depth?g - Acceleration due to Gravity?

Critical Velocity given Depth of Section Example

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Here is how the Critical Velocity given Depth of Section equation looks like with Values.

Here is how the Critical Velocity given Depth of Section equation looks like with Units.

Here is how the Critical Velocity given Depth of Section equation looks like.

5.054 = \sqrt{\frac{4.04 \cdot 9.8}{1.55}}

5.054m/s = \sqrt{\frac{4.04m \cdot 9.8m/s²}{1.55}}

5.054 = \sqrt{\frac{4.04 \cdot 9.8}{1.55}}

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Critical Velocity given Depth of Section Solution

Follow our step by step solution on how to calculate Critical Velocity given Depth of Section?

FIRST Step Consider the formula

V c = \sqrt{\frac{d \cdot g}{1.55}}

Next Step Substitute values of Variables

∴

V c = \sqrt{\frac{4.04m \cdot 9.8m/s²}{1.55}}

Next Step Prepare to Evaluate

∴

V c = \sqrt{\frac{4.04 \cdot 9.8}{1.55}}

Next Step Evaluate

∴

V c = 5.05403064953623m/s

LAST Step Rounding Answer

∴

V c = 5.054m/s

Critical Velocity given Depth of Section Formula Elements

Variables

Functions

Critical Velocity

The Critical velocity is the greatest velocity with which a fluid can flow through a given conduit without becoming turbulent.

Symbol: V_c

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Critical Velocity

Depth

Depth is the distance from the top or surface to the bottom of something.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Depth

Acceleration due to Gravity

Acceleration due to Gravity is a fundamental physical constant that represents the acceleration of an object due to the force of gravity exerted by the Earth.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

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 Critical Velocity

Go Critical Velocity given Total Energy at Critical Point

V c = \sqrt{2 \cdot g \cdot (E c - (d c + h f))}

Go Critical Velocity given Head Loss

V c = {(\frac{h f \cdot 2 \cdot g}{0.1})}^{\frac{1}{2}}

Go Critical Velocity given Critical Depth in Control Section

V c = \sqrt{d c \cdot g}

Go Critical Velocity given Discharge through Control Section

V c = (\frac{Q e}{W t \cdot d c})

How to Evaluate Critical Velocity given Depth of Section?

Critical Velocity given Depth of Section evaluator uses Critical Velocity = sqrt((Depth*Acceleration due to Gravity)/1.55) to evaluate the Critical Velocity, The Critical Velocity given Depth of Section formula is defined as the measure of the value of velocity at which flow transitions from being subcritical to supercritical. In open channel flow, critical velocity occurs when the flow's kinetic energy is equal to the potential energy. Critical Velocity is denoted by V_c symbol.

How to evaluate Critical Velocity given Depth of Section using this online evaluator? To use this online evaluator for Critical Velocity given Depth of Section, enter Depth (d) & Acceleration due to Gravity (g) and hit the calculate button.

FAQs on Critical Velocity given Depth of Section

What is the formula to find Critical Velocity given Depth of Section?

The formula of Critical Velocity given Depth of Section is expressed as Critical Velocity = sqrt((Depth*Acceleration due to Gravity)/1.55). Here is an example- 4.355197 = sqrt((4.04*9.8)/1.55).

How to calculate Critical Velocity given Depth of Section?

With Depth (d) & Acceleration due to Gravity (g) we can find Critical Velocity given Depth of Section using the formula - Critical Velocity = sqrt((Depth*Acceleration due to Gravity)/1.55). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Critical Velocity?

Here are the different ways to Calculate Critical Velocity-

Critical Velocity=sqrt(2*Acceleration due to Gravity*(Energy at Critical Point-(Critical Depth+Head Loss)))
Critical Velocity=((Head Loss*2*Acceleration due to Gravity)/0.1)^(1/2)
Critical Velocity=sqrt(Critical Depth*Acceleration due to Gravity)

Can the Critical Velocity given Depth of Section be negative?

Yes, the Critical Velocity given Depth of Section, measured in Speed can be negative.

Which unit is used to measure Critical Velocity given Depth of Section?

Critical Velocity given Depth of Section 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 Critical Velocity given Depth of Section can be measured.

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