Critical Velocity given Critical Depth in Control Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
Critical Velocity = sqrt(Critical Depth*Acceleration due to Gravity)
Vc = sqrt(CD*g)
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.
Critical Depth - (Measured in Meter) - 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.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
STEP 1: Convert Input(s) to Base Unit
Critical Depth: 4 Meter --> 4 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(CD*g) --> sqrt(4*9.8)
Evaluating ... ...
Vc = 6.26099033699941
STEP 3: Convert Result to Output's Unit
6.26099033699941 Meter per Second --> No Conversion Required
FINAL ANSWER
6.26099033699941 6.26099 Meter per Second <-- Critical Velocity
(Calculation completed in 00.020 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Meerut Institute of Engineering and Technology (MIET), Meerut
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7 Critical Velocity Calculators

Critical Velocity given Total Energy at Critical Point
Go Critical Velocity = sqrt(2*Acceleration due to Gravity*(Energy at critical point-(Critical Depth+Head Loss)))
Critical Velocity given Discharge through Control Section
Go Critical Velocity = (Environmental Discharge/(Width of throat*Critical Depth))
Critical Velocity given Maximum Discharge
Go Critical Velocity = (Peak Discharge/(Width of throat*Critical Depth))
Critical Velocity given Critical Depth in Control Section
Go Critical Velocity = sqrt(Critical Depth*Acceleration due to Gravity)
Critical Velocity given Depth of Section
Go Critical Velocity = sqrt((Depth*Acceleration due to Gravity)/1.55)
Critical Velocity given Head Loss
Go Critical Velocity = ((Head Loss*2*Acceleration due to Gravity)/0.1)^(1/2)
Critical Velocity given Discharge
Go Critical Velocity = (Environmental Discharge/Flow area of throat)

Critical Velocity given Critical Depth in Control Section Formula

Critical Velocity = sqrt(Critical Depth*Acceleration due to Gravity)
Vc = sqrt(CD*g)

What is critical velocity ?

Critical velocity is defined as the speed at which a falling object reaches when both gravity and air resistance are equalized on the object. The other way of defining critical velocity is the speed and direction at which the fluid can flow through a conduit without becoming turbulent.

How to Calculate Critical Velocity given Critical Depth in Control Section?

Critical Velocity given Critical Depth in Control Section calculator uses Critical Velocity = sqrt(Critical Depth*Acceleration due to Gravity) to calculate the Critical Velocity, Critical Velocity given Critical Depth in Control Section is defined as speed at which falling object reaches when both gravity and air resistance are equalized on object. Critical Velocity is denoted by Vc symbol.

How to calculate Critical Velocity given Critical Depth in Control Section using this online calculator? To use this online calculator for Critical Velocity given Critical Depth in Control Section, enter Critical Depth (CD) & Acceleration due to Gravity (g) and hit the calculate button. Here is how the Critical Velocity given Critical Depth in Control Section calculation can be explained with given input values -> 6.26099 = sqrt(4*9.8).

FAQ

What is Critical Velocity given Critical Depth in Control Section?
Critical Velocity given Critical Depth in Control Section is defined as speed at which falling object reaches when both gravity and air resistance are equalized on object and is represented as Vc = sqrt(CD*g) or Critical Velocity = sqrt(Critical Depth*Acceleration due to Gravity). 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 & Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
How to calculate Critical Velocity given Critical Depth in Control Section?
Critical Velocity given Critical Depth in Control Section is defined as speed at which falling object reaches when both gravity and air resistance are equalized on object is calculated using Critical Velocity = sqrt(Critical Depth*Acceleration due to Gravity). To calculate Critical Velocity given Critical Depth in Control Section, you need Critical Depth (CD) & Acceleration due to Gravity (g). With our tool, you need to enter the respective value for Critical 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 Critical Depth & Acceleration due to Gravity. We can use 6 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((Depth*Acceleration due to Gravity)/1.55)
  • Critical Velocity = (Environmental Discharge/(Width of throat*Critical Depth))
  • Critical Velocity = (Environmental Discharge/Flow area of throat)
  • Critical Velocity = (Peak Discharge/(Width of throat*Critical Depth))
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