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Actual Velocity at Section 2 given Coefficient of Contraction Formula

GoActual Velocity given Theoretical Velocity at Section 2 Formula

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The Actual Velocity refers to the velocity at which a microscopic particle of dust would be traveling if it were in the air stream. Check FAQs

v = C v \cdot \sqrt{2 \cdot [g] \cdot h venturi + {(V p2 \cdot C c \cdot \frac{a o}{A i})}^{2}}

v - Actual Velocity?C_v - Coefficient of Velocity?h_venturi - Venturi Head?V_p2 - Velocity at Point 2?C_c - Coefficient of Contraction?a_o - Area of Orifice?A_i - Cross Section Area 1?[g] - Gravitational acceleration on Earth?

Actual Velocity at Section 2 given Coefficient of Contraction Example

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Here is how the Actual Velocity at Section 2 given Coefficient of Contraction equation looks like with Values.

Here is how the Actual Velocity at Section 2 given Coefficient of Contraction equation looks like with Units.

Here is how the Actual Velocity at Section 2 given Coefficient of Contraction equation looks like.

11.8609 = 0.92 \cdot \sqrt{2 \cdot 9.8066 \cdot 24 + {(34 \cdot 0.611 \cdot \frac{4.4}{7.1})}^{2}}

11.8609m/s = 0.92 \cdot \sqrt{2 \cdot 9.8066m/s² \cdot 24mm + {(34m/s \cdot 0.611 \cdot \frac{4.4m²}{7.1m²})}^{2}}

11.8609 = 0.92 \cdot \sqrt{2 \cdot 9.8066 \cdot 24 + {(34 \cdot 0.611 \cdot \frac{4.4}{7.1})}^{2}}

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Home » Engineering » Civil » Hydraulics and Waterworks » Actual Velocity at Section 2 given Coefficient of Contraction

Actual Velocity at Section 2 given Coefficient of Contraction Solution

Follow our step by step solution on how to calculate Actual Velocity at Section 2 given Coefficient of Contraction?

FIRST Step Consider the formula

v = C v \cdot \sqrt{2 \cdot [g] \cdot h venturi + {(V p2 \cdot C c \cdot \frac{a o}{A i})}^{2}}

Next Step Substitute values of Variables

∴

v = 0.92 \cdot \sqrt{2 \cdot [g] \cdot 24mm + {(34m/s \cdot 0.611 \cdot \frac{4.4m²}{7.1m²})}^{2}}

Next Step Substitute values of Constants

∴

v = 0.92 \cdot \sqrt{2 \cdot 9.8066m/s² \cdot 24mm + {(34m/s \cdot 0.611 \cdot \frac{4.4m²}{7.1m²})}^{2}}

Next Step Convert Units

∴

v = 0.92 \cdot \sqrt{2 \cdot 9.8066m/s² \cdot 0.024m + {(34m/s \cdot 0.611 \cdot \frac{4.4m²}{7.1m²})}^{2}}

Next Step Prepare to Evaluate

∴

v = 0.92 \cdot \sqrt{2 \cdot 9.8066 \cdot 0.024 + {(34 \cdot 0.611 \cdot \frac{4.4}{7.1})}^{2}}

Next Step Evaluate

∴

v = 11.8609131886333m/s

LAST Step Rounding Answer

∴

v = 11.8609m/s

Actual Velocity at Section 2 given Coefficient of Contraction Formula Elements

Variables

Constants

Functions

Actual Velocity

The Actual Velocity refers to the velocity at which a microscopic particle of dust would be traveling if it were in the air stream.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Coefficient of Velocity

The Coefficient of Velocity refers to the ratio of the actual velocity of a fluid jet at the vena contracta (the point of minimum cross-sectional area) to the theoretical velocity of the jet.

Symbol: C_v

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Venturi Head

The Venturi head refers to the difference between pressure head at inlet and pressure head at the throat.

Symbol: h_venturi

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Velocity at Point 2

The Velocity at Point 2 refers to the direction of the movement of the body or the object.

Symbol: V_p2

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Coefficient of Contraction

The Coefficient of Contraction refers to the ratio between the area of the jet at the vena contract and the area of the orifice.

Symbol: C_c

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Area of Orifice

The Area of Orifice refers to the any opening, mouth, hole or vent, as in a pipe, a plate, or a body.

Symbol: a_o

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Cross Section Area 1

The Cross Section Area 1 refers to the area of cross section at the inlet of the structure (venturi meter or pipe).

Symbol: A_i

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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)

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Formula and 1300+ more formulas!

Verified by

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Formula and 1700+ more formulas!

Other Formulas to find Actual Velocity

Go Actual Velocity given Theoretical Velocity at Section 2

v = C v \cdot V p2

Other formulas in Orifice Meter category

Go Theoretical Velocity at Section 2 in Orifice Meter

V p2 = \sqrt{2 \cdot [g] \cdot h venturi + {V 1}^{2}}

Go Theoretical Velocity at Section 1 in Orifice Meter

V 1 = \sqrt{({V p2}^{2}) - (2 \cdot [g] \cdot h venturi)}

How to Evaluate Actual Velocity at Section 2 given Coefficient of Contraction?

Actual Velocity at Section 2 given Coefficient of Contraction evaluator uses Actual Velocity = Coefficient of Velocity*sqrt(2*[g]*Venturi Head+(Velocity at Point 2*Coefficient of Contraction*Area of Orifice/Cross Section Area 1)^2) to evaluate the Actual Velocity, The Actual Velocity at Section 2 given Coefficient of Contraction formula is defined as velocity measured through orifice meter. Actual Velocity is denoted by v symbol.

How to evaluate Actual Velocity at Section 2 given Coefficient of Contraction using this online evaluator? To use this online evaluator for Actual Velocity at Section 2 given Coefficient of Contraction, enter Coefficient of Velocity (C_v), Venturi Head (h_venturi), Velocity at Point 2 (V_p2), Coefficient of Contraction (C_c), Area of Orifice (a_o) & Cross Section Area 1 (A_i) and hit the calculate button.

FAQs on Actual Velocity at Section 2 given Coefficient of Contraction

What is the formula to find Actual Velocity at Section 2 given Coefficient of Contraction?

The formula of Actual Velocity at Section 2 given Coefficient of Contraction is expressed as Actual Velocity = Coefficient of Velocity*sqrt(2*[g]*Venturi Head+(Velocity at Point 2*Coefficient of Contraction*Area of Orifice/Cross Section Area 1)^2). Here is an example- 11.86091 = 0.92*sqrt(2*[g]*0.024+(34*0.611*4.4/7.1)^2).

How to calculate Actual Velocity at Section 2 given Coefficient of Contraction?

With Coefficient of Velocity (C_v), Venturi Head (h_venturi), Velocity at Point 2 (V_p2), Coefficient of Contraction (C_c), Area of Orifice (a_o) & Cross Section Area 1 (A_i) we can find Actual Velocity at Section 2 given Coefficient of Contraction using the formula - Actual Velocity = Coefficient of Velocity*sqrt(2*[g]*Venturi Head+(Velocity at Point 2*Coefficient of Contraction*Area of Orifice/Cross Section Area 1)^2). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

What are the other ways to Calculate Actual Velocity?

Here are the different ways to Calculate Actual Velocity-

Actual Velocity=Coefficient of Velocity*Velocity at Point 2

Can the Actual Velocity at Section 2 given Coefficient of Contraction be negative?

No, the Actual Velocity at Section 2 given Coefficient of Contraction, measured in Speed cannot be negative.

Which unit is used to measure Actual Velocity at Section 2 given Coefficient of Contraction?

Actual Velocity at Section 2 given Coefficient of Contraction 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 Actual Velocity at Section 2 given Coefficient of Contraction can be measured.