Critical Velocity given Total Energy at Critical Point Calculator

✖Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Energy at critical point is the total energy (both potential and kinetic energy) at the point of jump formation.ⓘ Energy at critical point [E_c]			+10% -10%
✖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.ⓘ Critical Depth [CD]			+10% -10%
✖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.ⓘ Head Loss [h_f]			+10% -10%

✖The Critical velocity is the greatest velocity with which a fluid can flow through a given conduit without becoming turbulent.ⓘ Critical Velocity given Total Energy at Critical Point [V_c]

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Formula

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Critical Velocity given Total Energy at Critical Point

Formula

`"V"_{"c"} = sqrt(2*"g"*("E"_{"c"}-("CD"+"h"_{"f"})))`

Example

`"12.36447m/s"=sqrt(2*"9.8m/s²"*("13m"-("4m"+"1.2m")))`

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Critical Velocity given Total Energy at Critical Point Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Velocity = sqrt(2*Acceleration due to Gravity*(Energy at critical point-(Critical Depth+Head Loss)))
V_c = sqrt(2*g*(E_c-(CD+h_f)))
This formula uses 1 Functions, 5 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.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Energy at critical point - (Measured in Meter) - Energy at critical point is the total energy (both potential and kinetic energy) at the point of jump formation.
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.
Head Loss - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Energy at critical point: 13 Meter --> 13 Meter No Conversion Required
Critical Depth: 4 Meter --> 4 Meter No Conversion Required
Head Loss: 1.2 Meter --> 1.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_c = sqrt(2*g*(E_c-(CD+h_f))) --> sqrt(2*9.8*(13-(4+1.2)))

Evaluating ... ...

V_c = 12.364465212859

STEP 3: Convert Result to Output's Unit

12.364465212859 Meter per Second --> No Conversion Required

FINAL ANSWER

12.364465212859 ≈ 12.36447 Meter per Second <-- Critical Velocity

(Calculation completed in 00.004 seconds)

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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 Total Energy at Critical Point Formula

Critical Velocity = sqrt(2*Acceleration due to Gravity*(Energy at critical point-(Critical Depth+Head Loss)))
V_c = sqrt(2*g*(E_c-(CD+h_f)))

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 Total Energy at Critical Point?

Critical Velocity given Total Energy at Critical Point calculator uses Critical Velocity = sqrt(2*Acceleration due to Gravity*(Energy at critical point-(Critical Depth+Head Loss))) to calculate the Critical Velocity, Critical Velocity given Total Energy at Critical Point is defined as speed at which falling object reaches when both gravity and air resistance are equalized on object. Critical Velocity is denoted by V_c symbol.

How to calculate Critical Velocity given Total Energy at Critical Point using this online calculator? To use this online calculator for Critical Velocity given Total Energy at Critical Point, enter Acceleration due to Gravity (g), Energy at critical point (E_c), Critical Depth (CD) & Head Loss (h_f) and hit the calculate button. Here is how the Critical Velocity given Total Energy at Critical Point calculation can be explained with given input values -> 12.36447 = sqrt(2*9.8*(13-(4+1.2))).

FAQ

What is Critical Velocity given Total Energy at Critical Point?

Critical Velocity given Total Energy at Critical Point is defined as speed at which falling object reaches when both gravity and air resistance are equalized on object and is represented as V_c = sqrt(2*g*(E_c-(CD+h_f))) or Critical Velocity = sqrt(2*Acceleration due to Gravity*(Energy at critical point-(Critical Depth+Head Loss))). Acceleration due to Gravity is acceleration gained by an object because of gravitational force, Energy at critical point is the total energy (both potential and kinetic energy) at the point of jump formation, 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 & 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.

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

Critical Velocity given Total Energy at Critical Point 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(2*Acceleration due to Gravity*(Energy at critical point-(Critical Depth+Head Loss))). To calculate Critical Velocity given Total Energy at Critical Point, you need Acceleration due to Gravity (g), Energy at critical point (E_c), Critical Depth (CD) & Head Loss (h_f). With our tool, you need to enter the respective value for Acceleration due to Gravity, Energy at critical point, Critical Depth & Head Loss 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 Acceleration due to Gravity, Energy at critical point, Critical Depth & Head Loss. We can use 6 other way(s) to calculate the same, which is/are as follows -

Critical Velocity = ((Head Loss*2*Acceleration due to Gravity)/0.1)^(1/2)
Critical Velocity = sqrt(Critical Depth*Acceleration due to Gravity)
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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