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Velocity of Flow of Water given Buttress Resistance Formula

GoVelocity of Flow of Water with known Head of Water and Buttress Resistance Formula

GoVelocity of Flow of Water given Total Tension in Pipe Formula

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Velocity of Flowing Water gives the velocity of an element of fluid at a position and time. Check FAQs

V fw = \sqrt{(\frac{P BR}{(2 \cdot A cs) \cdot \sin (\frac{θ b}{2})} - p i) \cdot (\frac{[g]}{γ water})}

V_fw - Velocity of Flowing Water?P_BR - Buttress Resistance in Pipe?A_cs - Cross-Sectional Area?θ_b - Angle of Bend in Environmental Engi.?p_i - Internal Water Pressure in Pipes?γ_water - Unit Weight of Water in KN per Cubic Meter?[g] - Gravitational acceleration on Earth?

Velocity of Flow of Water given Buttress Resistance Example

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Here is how the Velocity of Flow of Water given Buttress Resistance equation looks like with Values.

Here is how the Velocity of Flow of Water given Buttress Resistance equation looks like with Units.

Here is how the Velocity of Flow of Water given Buttress Resistance equation looks like.

10.7073 = \sqrt{(\frac{1500}{(2 \cdot 13) \cdot \sin (\frac{36}{2})} - 72.01) \cdot (\frac{9.8066}{9.81})}

10.7073m/s = \sqrt{(\frac{1500kN}{(2 \cdot 13m²) \cdot \sin (\frac{36°}{2})} - 72.01kN/m²) \cdot (\frac{9.8066m/s²}{9.81kN/m³})}

10.7073 = \sqrt{(\frac{1500}{(2 \cdot 13) \cdot \sin (\frac{36}{2})} - 72.01) \cdot (\frac{9.8066}{9.81})}

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Velocity of Flow of Water given Buttress Resistance Solution

Follow our step by step solution on how to calculate Velocity of Flow of Water given Buttress Resistance?

FIRST Step Consider the formula

V fw = \sqrt{(\frac{P BR}{(2 \cdot A cs) \cdot \sin (\frac{θ b}{2})} - p i) \cdot (\frac{[g]}{γ water})}

Next Step Substitute values of Variables

∴

V fw = \sqrt{(\frac{1500kN}{(2 \cdot 13m²) \cdot \sin (\frac{36°}{2})} - 72.01kN/m²) \cdot (\frac{[g]}{9.81kN/m³})}

Next Step Substitute values of Constants

∴

V fw = \sqrt{(\frac{1500kN}{(2 \cdot 13m²) \cdot \sin (\frac{36°}{2})} - 72.01kN/m²) \cdot (\frac{9.8066m/s²}{9.81kN/m³})}

Next Step Convert Units

∴

V fw = \sqrt{(\frac{1.5E+6N}{(2 \cdot 13m²) \cdot \sin (\frac{0.6283rad}{2})} - 72010Pa) \cdot (\frac{9.8066m/s²}{9810N/m³})}

Next Step Prepare to Evaluate

∴

V fw = \sqrt{(\frac{1.5E+6}{(2 \cdot 13) \cdot \sin (\frac{0.6283}{2})} - 72010) \cdot (\frac{9.8066}{9810})}

Next Step Evaluate

∴

V fw = 10.7073369923734m/s

LAST Step Rounding Answer

∴

V fw = 10.7073m/s

Velocity of Flow of Water given Buttress Resistance Formula Elements

Variables

Constants

Functions

Velocity of Flowing Water

Velocity of Flowing Water gives the velocity of an element of fluid at a position and time.

Symbol: V_fw

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Flowing Water

Buttress Resistance in Pipe

Buttress Resistance in Pipe is a resistance applied in the pipe due to change in the direction of pipe.

Symbol: P_BR

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Buttress Resistance in Pipe

Cross-Sectional Area

Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.

Symbol: A_cs

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross-Sectional Area

Angle of Bend in Environmental Engi.

Angle of Bend in Environmental Engi. is defined as the angle by which pipe bends.

Symbol: θ_b

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Bend in Environmental Engi.

Internal Water Pressure in Pipes

Internal Water Pressure in Pipes is the force that pushes water through pipes.

Symbol: p_i

Measurement: PressureUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Internal Water Pressure in Pipes

Unit Weight of Water in KN per Cubic Meter

Unit Weight of Water in KN per Cubic Meter is the weight of water per unit volume of water.

Symbol: γ_water

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Unit Weight of Water in KN per Cubic Meter

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

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 Velocity of Flowing Water

Go Velocity of Flow of Water with known Head of Water and Buttress Resistance

V fw = ((\frac{[g]}{γ water}) \cdot ((\frac{P BR}{2 \cdot A cs \cdot \sin (\frac{θ b}{2})} - H \cdot γ water)))

Go Velocity of Flow of Water given Total Tension in Pipe

V fw = \sqrt{(T tkn - (P wt \cdot A cs)) \cdot (\frac{[g]}{γ water \cdot A cs})}

Other formulas in Stresses at Bends category

Go Buttress Resistance using Head of Water

P BR = ((2 \cdot A cs) \cdot ((\frac{γ water \cdot ({V fw}^{2})}{[g]}) + (γ water \cdot H)) \cdot \sin (\frac{θ b}{2}))

Go Angle of Bend given Buttress Resistance

θ b = 2 \cdot a \sin (\frac{P BR}{(2 \cdot A cs) \cdot ((\frac{γ water \cdot {(V w)}^{2}}{[g]}) + P wt)})

Go Angle of Bend given Head of Water and Buttress Resistance

θ b = 2 \cdot a \sin (\frac{P BR}{(2 \cdot A cs) \cdot ((\frac{γ water \cdot {(V w)}^{2}}{[g]}) + (γ water \cdot H liquid))})

Go Buttress Resistance using Angle of Bend

P BR = (2 \cdot A cs) \cdot (((γ water \cdot (\frac{{V fw}^{2}}{[g]})) + p i) \cdot \sin (\frac{θ b}{2}))

How to Evaluate Velocity of Flow of Water given Buttress Resistance?

Velocity of Flow of Water given Buttress Resistance evaluator uses Velocity of Flowing Water = sqrt((Buttress Resistance in Pipe/((2*Cross-Sectional Area)*sin((Angle of Bend in Environmental Engi.)/(2)))-Internal Water Pressure in Pipes)*([g]/Unit Weight of Water in KN per Cubic Meter)) to evaluate the Velocity of Flowing Water, The Velocity of Flow of Water given Buttress Resistance formula is defined as the value of velocity of flow through the water pipe causing the centrifugal force to build up in the pipe that, if not overcome would cause the bursting of pipes longitudinally, considering the buttress resistance. Velocity of Flowing Water is denoted by V_fw symbol.

How to evaluate Velocity of Flow of Water given Buttress Resistance using this online evaluator? To use this online evaluator for Velocity of Flow of Water given Buttress Resistance, enter Buttress Resistance in Pipe (P_BR), Cross-Sectional Area (A_cs), Angle of Bend in Environmental Engi. (θ_b), Internal Water Pressure in Pipes (p_i) & Unit Weight of Water in KN per Cubic Meter (γ_water) and hit the calculate button.

FAQs on Velocity of Flow of Water given Buttress Resistance

What is the formula to find Velocity of Flow of Water given Buttress Resistance?

The formula of Velocity of Flow of Water given Buttress Resistance is expressed as Velocity of Flowing Water = sqrt((Buttress Resistance in Pipe/((2*Cross-Sectional Area)*sin((Angle of Bend in Environmental Engi.)/(2)))-Internal Water Pressure in Pipes)*([g]/Unit Weight of Water in KN per Cubic Meter)). Here is an example- 5.749571 = sqrt((1500000/((2*13)*sin((0.62831853071784)/(2)))-72010)*([g]/9810)).

How to calculate Velocity of Flow of Water given Buttress Resistance?

With Buttress Resistance in Pipe (P_BR), Cross-Sectional Area (A_cs), Angle of Bend in Environmental Engi. (θ_b), Internal Water Pressure in Pipes (p_i) & Unit Weight of Water in KN per Cubic Meter (γ_water) we can find Velocity of Flow of Water given Buttress Resistance using the formula - Velocity of Flowing Water = sqrt((Buttress Resistance in Pipe/((2*Cross-Sectional Area)*sin((Angle of Bend in Environmental Engi.)/(2)))-Internal Water Pressure in Pipes)*([g]/Unit Weight of Water in KN per Cubic Meter)). This formula also uses Gravitational acceleration on Earth constant(s) and , Sine (sin), Square Root (sqrt) function(s).

What are the other ways to Calculate Velocity of Flowing Water?

Here are the different ways to Calculate Velocity of Flowing Water-

Velocity of Flowing Water=(([g]/Unit Weight of Water in KN per Cubic Meter)*((Buttress Resistance in Pipe/(2*Cross-Sectional Area*sin((Angle of Bend in Environmental Engi.)/(2)))-Head of the Liquid*Unit Weight of Water in KN per Cubic Meter)))
Velocity of Flowing Water=sqrt((Total Tension in Pipe in KN-(Water Pressure in KN per Square Meter*Cross-Sectional Area))*([g]/(Unit Weight of Water in KN per Cubic Meter*Cross-Sectional Area)))

Can the Velocity of Flow of Water given Buttress Resistance be negative?

No, the Velocity of Flow of Water given Buttress Resistance, measured in Speed cannot be negative.

Which unit is used to measure Velocity of Flow of Water given Buttress Resistance?

Velocity of Flow of Water given Buttress Resistance 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 Velocity of Flow of Water given Buttress Resistance can be measured.

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Velocity of Flow of Water given Buttress Resistance Formula

​GoVelocity of Flow of Water with known Head of Water and Buttress Resistance Formula

​GoVelocity of Flow of Water given Total Tension in Pipe Formula

Velocity of Flow of Water given Buttress Resistance Example

Velocity of Flow of Water given Buttress Resistance Solution

Velocity of Flow of Water given Buttress Resistance Formula Elements

Other Formulas to find Velocity of Flowing Water

Other formulas in Stresses at Bends category

How to Evaluate Velocity of Flow of Water given Buttress Resistance?

FAQs on Velocity of Flow of Water given Buttress Resistance

Variable Name

GoVelocity of Flow of Water with known Head of Water and Buttress Resistance Formula

GoVelocity of Flow of Water given Total Tension in Pipe Formula