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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
Vc=2g(Ec-(dc+hf))
Vc - Critical Velocity?g - Acceleration due to Gravity?Ec - Energy at Critical Point?dc - Critical Depth?hf - Head Loss?

Critical Velocity given Total Energy at Critical Point Example

With values
With units
Only example

Here is how the Critical Velocity given Total Energy at Critical Point equation looks like with Values.

Here is how the Critical Velocity given Total Energy at Critical Point equation looks like with Units.

Here is how the Critical Velocity given Total Energy at Critical Point equation looks like.

5.0478Edit=29.8Edit(4.05Edit-(2.62Edit+0.13Edit))
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Critical Velocity given Total Energy at Critical Point Solution

Follow our step by step solution on how to calculate Critical Velocity given Total Energy at Critical Point?

FIRST Step Consider the formula
Vc=2g(Ec-(dc+hf))
Next Step Substitute values of Variables
Vc=29.8m/s²(4.05m-(2.62m+0.13m))
Next Step Prepare to Evaluate
Vc=29.8(4.05-(2.62+0.13))
Next Step Evaluate
Vc=5.04777178564958m/s
LAST Step Rounding Answer
Vc=5.0478m/s

Critical Velocity given Total Energy at Critical Point 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: Vc
Measurement: SpeedUnit: m/s
Note: Value can be positive or negative.
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.
Energy at Critical Point
Energy at Critical Point is the total energy (both potential and kinetic energy) at the point of jump formation.
Symbol: Ec
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Critical Depth
Critical Depth occurs when the flow in a channel has a minimum specific energy. Specific energy refers to the sum of the depth of flow and the velocity head.
Symbol: dc
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Head Loss
Head Loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.
Symbol: hf
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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 Head Loss
Vc=(hf2g0.1)12
​Go Critical Velocity given Critical Depth in Control Section
Vc=dcg
​Go Critical Velocity given Depth of Section
Vc=dg1.55
​Go Critical Velocity given Discharge through Control Section
Vc=(QeWtdc)

How to Evaluate Critical Velocity given Total Energy at Critical Point?

Critical Velocity given Total Energy at Critical Point evaluator uses Critical Velocity = sqrt(2*Acceleration due to Gravity*(Energy at Critical Point-(Critical Depth+Head Loss))) to evaluate the Critical Velocity, The Critical Velocity given Total Energy at Critical Point formula is defined as the velocity at which flow transitions from being subcritical to supercritical, considering the total energy at critical point. Critical Velocity is denoted by Vc symbol.

How to evaluate Critical Velocity given Total Energy at Critical Point using this online evaluator? To use this online evaluator for Critical Velocity given Total Energy at Critical Point, enter Acceleration due to Gravity (g), Energy at Critical Point (Ec), Critical Depth (dc) & Head Loss (hf) and hit the calculate button.

FAQs on Critical Velocity given Total Energy at Critical Point

What is the formula to find Critical Velocity given Total Energy at Critical Point?
The formula of Critical Velocity given Total Energy at Critical Point is expressed as Critical Velocity = sqrt(2*Acceleration due to Gravity*(Energy at Critical Point-(Critical Depth+Head Loss))). Here is an example- 16.47604 = sqrt(2*9.8*(4.05-(2.62+0.13))).
How to calculate Critical Velocity given Total Energy at Critical Point?
With Acceleration due to Gravity (g), Energy at Critical Point (Ec), Critical Depth (dc) & Head Loss (hf) we can find Critical Velocity given Total Energy at Critical Point using the formula - Critical Velocity = sqrt(2*Acceleration due to Gravity*(Energy at Critical Point-(Critical Depth+Head Loss))). 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=((Head Loss*2*Acceleration due to Gravity)/0.1)^(1/2)OpenImg
  • Critical Velocity=sqrt(Critical Depth*Acceleration due to Gravity)OpenImg
  • Critical Velocity=sqrt((Depth*Acceleration due to Gravity)/1.55)OpenImg
Can the Critical Velocity given Total Energy at Critical Point be negative?
Yes, the Critical Velocity given Total Energy at Critical Point, measured in Speed can be negative.
Which unit is used to measure Critical Velocity given Total Energy at Critical Point?
Critical Velocity given Total Energy at Critical Point 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 Total Energy at Critical Point can be measured.
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