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Velocity of Flowing Water gives the velocity of an element of fluid at a position and time. Check FAQs
Vfw=(([g]γwater)((PBR2Acssin(θb2)-Hγwater)))
Vfw - Velocity of Flowing Water?γwater - Unit Weight of Water in KN per Cubic Meter?PBR - Buttress Resistance in Pipe?Acs - Cross-Sectional Area?θb - Angle of Bend in Environmental Engi.?H - Head of the Liquid?[g] - Gravitational acceleration on Earth?

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

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With units
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Here is how the Velocity of Flow of Water with known Head of Water and Buttress Resistance equation looks like with Values.

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

Here is how the Velocity of Flow of Water with known Head of Water and Buttress Resistance equation looks like.

39.5327Edit=((9.80669.81Edit)((1500Edit213Editsin(36Edit2)-15Edit9.81Edit)))
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Velocity of Flow of Water with known Head of Water and Buttress Resistance Solution

Follow our step by step solution on how to calculate Velocity of Flow of Water with known Head of Water and Buttress Resistance?

FIRST Step Consider the formula
Vfw=(([g]γwater)((PBR2Acssin(θb2)-Hγwater)))
Next Step Substitute values of Variables
Vfw=(([g]9.81kN/m³)((1500kN213sin(36°2)-15m9.81kN/m³)))
Next Step Substitute values of Constants
Vfw=((9.8066m/s²9.81kN/m³)((1500kN213sin(36°2)-15m9.81kN/m³)))
Next Step Convert Units
Vfw=((9.8066m/s²9810N/m³)((1.5E+6N213sin(0.6283rad2)-15m9810N/m³)))
Next Step Prepare to Evaluate
Vfw=((9.80669810)((1.5E+6213sin(0.62832)-159810)))
Next Step Evaluate
Vfw=39.5327248974012m/s
LAST Step Rounding Answer
Vfw=39.5327m/s

Velocity of Flow of Water with known Head of Water and 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: Vfw
Measurement: SpeedUnit: m/s
Note: Value should be greater than 0.
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: γwater
Measurement: Specific WeightUnit: kN/m³
Note: Value should be greater than 0.
Buttress Resistance in Pipe
Buttress Resistance in Pipe is a resistance applied in the pipe due to change in the direction of pipe.
Symbol: PBR
Measurement: ForceUnit: kN
Note: Value should be greater than 0.
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: Acs
Measurement: AreaUnit:
Note: Value should be greater than 0.
Angle of Bend in Environmental Engi.
Angle of Bend in Environmental Engi. is defined as the angle by which pipe bends.
Symbol: θb
Measurement: AngleUnit: °
Note: Value should be greater than 0.
Head of the Liquid
The Head of the Liquid is the height of a liquid column that corresponds to a particular pressure exerted by the liquid column from the base of its container.
Symbol: H
Measurement: LengthUnit: m
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
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)

Other Formulas to find Velocity of Flowing Water

​Go Velocity of Flow of Water given Buttress Resistance
Vfw=(PBR(2Acs)sin(θb2)-pi)([g]γwater)
​Go Velocity of Flow of Water given Total Tension in Pipe
Vfw=(Ttkn-(PwtAcs))([g]γwaterAcs)

Other formulas in Stresses at Bends category

​Go Buttress Resistance using Head of Water
PBR=((2Acs)((γwater(Vfw2)[g])+(γwaterH))sin(θb2))
​Go Angle of Bend given Buttress Resistance
θb=2asin(PBR(2Acs)((γwater(Vw)2[g])+Pwt))
​Go Angle of Bend given Head of Water and Buttress Resistance
θb=2asin(PBR(2Acs)((γwater(Vw)2[g])+(γwaterHliquid)))
​Go Buttress Resistance using Angle of Bend
PBR=(2Acs)(((γwater(Vfw2[g]))+pi)sin(θb2))

How to Evaluate Velocity of Flow of Water with known Head of Water and Buttress Resistance?

Velocity of Flow of Water with known Head of Water and Buttress Resistance evaluator uses 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))) to evaluate the Velocity of Flowing Water, The Velocity of Flow of Water with known Head of Water and Buttress Resistance formula is defined as the value of velocity of flow of water through the water pipe, considering the head of water and buttress resistance. Velocity of Flowing Water is denoted by Vfw symbol.

How to evaluate Velocity of Flow of Water with known Head of Water and Buttress Resistance using this online evaluator? To use this online evaluator for Velocity of Flow of Water with known Head of Water and Buttress Resistance, enter Unit Weight of Water in KN per Cubic Meter water), Buttress Resistance in Pipe (PBR), Cross-Sectional Area (Acs), Angle of Bend in Environmental Engi. b) & Head of the Liquid (H) and hit the calculate button.

FAQs on Velocity of Flow of Water with known Head of Water and Buttress Resistance

What is the formula to find Velocity of Flow of Water with known Head of Water and Buttress Resistance?
The formula of Velocity of Flow of Water with known Head of Water and Buttress Resistance is expressed as 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))). Here is an example- 39.53272 = (([g]/9810)*((1500000/(2*13*sin((0.62831853071784)/(2)))-15*9810))).
How to calculate Velocity of Flow of Water with known Head of Water and Buttress Resistance?
With Unit Weight of Water in KN per Cubic Meter water), Buttress Resistance in Pipe (PBR), Cross-Sectional Area (Acs), Angle of Bend in Environmental Engi. b) & Head of the Liquid (H) we can find Velocity of Flow of Water with known Head of Water and Buttress Resistance using the formula - 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))). This formula also uses Gravitational acceleration on Earth constant(s) and Sine (sin) 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=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))OpenImg
  • 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)))OpenImg
Can the Velocity of Flow of Water with known Head of Water and Buttress Resistance be negative?
No, the Velocity of Flow of Water with known Head of Water and Buttress Resistance, measured in Speed cannot be negative.
Which unit is used to measure Velocity of Flow of Water with known Head of Water and Buttress Resistance?
Velocity of Flow of Water with known Head of Water and 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 with known Head of Water and Buttress Resistance can be measured.
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