Critical Velocity given Depth of Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
Critical Velocity = sqrt((Depth*Acceleration due to Gravity)/1.55)
Vc = sqrt((d*g)/1.55)
This formula uses 1 Functions, 3 Variables
Functions Used
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., sqrt(Number)
Variables Used
Critical Velocity - (Measured in Meter per Second) - The Critical velocity is the greatest velocity with which a fluid can flow through a given conduit without becoming turbulent.
Depth - (Measured in Meter) - Depth is the distance from the top or surface to the bottom of something.
Acceleration due to Gravity - (Measured in Meter per Square Second) - 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.
STEP 1: Convert Input(s) to Base Unit
Depth: 4.04 Meter --> 4.04 Meter No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vc = sqrt((d*g)/1.55) --> sqrt((4.04*9.8)/1.55)
Evaluating ... ...
Vc = 5.05403064953623
STEP 3: Convert Result to Output's Unit
5.05403064953623 Meter per Second --> No Conversion Required
FINAL ANSWER
5.05403064953623 5.054031 Meter per Second <-- Critical Velocity
(Calculation completed in 00.004 seconds)

Credits

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
Suraj Kumar has created this Calculator and 2100+ more calculators!
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Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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Critical Velocity Calculators

Critical Velocity given Total Energy at Critical Point
​ LaTeX ​ Go Critical Velocity = sqrt(2*Acceleration due to Gravity*(Energy at Critical Point-(Critical Depth+Head Loss)))
Critical Velocity given Critical Depth in Control Section
​ LaTeX ​ Go Critical Velocity = sqrt(Critical Depth*Acceleration due to Gravity)
Critical Velocity given Depth of Section
​ LaTeX ​ Go Critical Velocity = sqrt((Depth*Acceleration due to Gravity)/1.55)
Critical Velocity given Head Loss
​ LaTeX ​ Go Critical Velocity = ((Head Loss*2*Acceleration due to Gravity)/0.1)^(1/2)

Critical Velocity given Depth of Section Formula

​LaTeX ​Go
Critical Velocity = sqrt((Depth*Acceleration due to Gravity)/1.55)
Vc = sqrt((d*g)/1.55)

What is Critical Velocity?

The 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. It's a point where the flow is neither too fast nor too slow, and it determines the efficiency and behavior of the channel.

How to Calculate Critical Velocity given Depth of Section?

Critical Velocity given Depth of Section calculator uses Critical Velocity = sqrt((Depth*Acceleration due to Gravity)/1.55) to calculate 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 Vc symbol.

How to calculate Critical Velocity given Depth of Section using this online calculator? To use this online calculator for Critical Velocity given Depth of Section, enter Depth (d) & Acceleration due to Gravity (g) and hit the calculate button. Here is how the Critical Velocity given Depth of Section calculation can be explained with given input values -> 4.355197 = sqrt((4.04*9.8)/1.55).

FAQ

What is Critical Velocity given Depth of Section?
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 and is represented as Vc = sqrt((d*g)/1.55) or Critical Velocity = sqrt((Depth*Acceleration due to Gravity)/1.55). Depth is the distance from the top or surface to the bottom of something & 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.
How to calculate Critical Velocity given Depth of Section?
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 is calculated using Critical Velocity = sqrt((Depth*Acceleration due to Gravity)/1.55). To calculate Critical Velocity given Depth of Section, you need Depth (d) & Acceleration due to Gravity (g). With our tool, you need to enter the respective value for Depth & Acceleration due to Gravity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Critical Velocity?
In this formula, Critical Velocity uses Depth & Acceleration due to Gravity. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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)
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