Head of Water given Total Tension in Pipe Solution

STEP 0: Pre-Calculation Summary
Formula Used
Head of Liquid in Pipe = (Total Tension in Pipe in KN-((Unit Weight of Water in KN per Cubic Meter*Cross-Sectional Area*(Velocity of Flowing Water)^2)/[g]))/(Unit Weight of Water in KN per Cubic Meter*Cross-Sectional Area)
Hliquid = (Ttkn-((γwater*Acs*(Vfw)^2)/[g]))/(γwater*Acs)
This formula uses 1 Constants, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Head of Liquid in Pipe - (Measured in Meter) - Head of Liquid in Pipe is the height of a liquid column that corresponds to a particular pressure exerted by the liquid column from the base of its container.
Total Tension in Pipe in KN - (Measured in Newton) - Total Tension in Pipe in KN is defined as the force that tries to elongate a pipe in KN.
Unit Weight of Water in KN per Cubic Meter - (Measured in Newton per Cubic Meter) - Unit Weight of Water in KN per Cubic Meter is the weight of water per unit volume of water.
Cross-Sectional Area - (Measured in Square Meter) - 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.
Velocity of Flowing Water - (Measured in Meter per Second) - Velocity of Flowing Water gives the velocity of an element of fluid at a position and time.
STEP 1: Convert Input(s) to Base Unit
Total Tension in Pipe in KN: 482.7 Kilonewton --> 482700 Newton (Check conversion ​here)
Unit Weight of Water in KN per Cubic Meter: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion ​here)
Cross-Sectional Area: 13 Square Meter --> 13 Square Meter No Conversion Required
Velocity of Flowing Water: 5.67 Meter per Second --> 5.67 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Hliquid = (Ttkn-((γwater*Acs*(Vfw)^2)/[g]))/(γwater*Acs) --> (482700-((9810*13*(5.67)^2)/[g]))/(9810*13)
Evaluating ... ...
Hliquid = 0.506716310702531
STEP 3: Convert Result to Output's Unit
0.506716310702531 Meter --> No Conversion Required
FINAL ANSWER
0.506716310702531 0.506716 Meter <-- Head of Liquid in Pipe
(Calculation completed in 00.004 seconds)

Credits

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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Stresses at Bends Calculators

Buttress Resistance using Head of Water
​ LaTeX ​ Go Buttress Resistance in Pipe = ((2*Cross-Sectional Area)*(((Unit Weight of Water in KN per Cubic Meter*(Velocity of Flowing Water^2))/[g])+(Unit Weight of Water in KN per Cubic Meter*Head of the Liquid))*sin((Angle of Bend in Environmental Engi.)/(2)))
Angle of Bend given Head of Water and Buttress Resistance
​ LaTeX ​ Go Angle of Bend in Environmental Engi. = 2*asin(Buttress Resistance in Pipe/((2*Cross-Sectional Area)*(((Unit Weight of Water in KN per Cubic Meter*(Flow Velocity of Fluid)^2)/[g])+(Unit Weight of Water in KN per Cubic Meter*Head of Liquid in Pipe))))
Buttress Resistance using Angle of Bend
​ LaTeX ​ Go Buttress Resistance in Pipe = (2*Cross-Sectional Area)*(((Unit Weight of Water in KN per Cubic Meter*((Velocity of Flowing Water^2)/[g]))+Internal Water Pressure in Pipes)*sin((Angle of Bend in Environmental Engi.)/(2)))
Angle of Bend given Buttress Resistance
​ LaTeX ​ Go Angle of Bend in Environmental Engi. = 2*asin(Buttress Resistance in Pipe/((2*Cross-Sectional Area)*(((Unit Weight of Water in KN per Cubic Meter*(Flow Velocity of Fluid)^2)/[g])+Water Pressure in KN per Square Meter)))

Head of Water given Total Tension in Pipe Formula

​LaTeX ​Go
Head of Liquid in Pipe = (Total Tension in Pipe in KN-((Unit Weight of Water in KN per Cubic Meter*Cross-Sectional Area*(Velocity of Flowing Water)^2)/[g]))/(Unit Weight of Water in KN per Cubic Meter*Cross-Sectional Area)
Hliquid = (Ttkn-((γwater*Acs*(Vfw)^2)/[g]))/(γwater*Acs)

What is Cross-Sectional Area?

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

How to Calculate Head of Water given Total Tension in Pipe?

Head of Water given Total Tension in Pipe calculator uses Head of Liquid in Pipe = (Total Tension in Pipe in KN-((Unit Weight of Water in KN per Cubic Meter*Cross-Sectional Area*(Velocity of Flowing Water)^2)/[g]))/(Unit Weight of Water in KN per Cubic Meter*Cross-Sectional Area) to calculate the Head of Liquid in Pipe, The Head of Water given Total Tension in Pipe formula is defined as the value of the height of water column exerting pressure on its base, calculated when we have a prior information of total tension in pipe. Head of Liquid in Pipe is denoted by Hliquid symbol.

How to calculate Head of Water given Total Tension in Pipe using this online calculator? To use this online calculator for Head of Water given Total Tension in Pipe, enter Total Tension in Pipe in KN (Ttkn), Unit Weight of Water in KN per Cubic Meter water), Cross-Sectional Area (Acs) & Velocity of Flowing Water (Vfw) and hit the calculate button. Here is how the Head of Water given Total Tension in Pipe calculation can be explained with given input values -> 0.506716 = (482700-((9810*13*(5.67)^2)/[g]))/(9810*13).

FAQ

What is Head of Water given Total Tension in Pipe?
The Head of Water given Total Tension in Pipe formula is defined as the value of the height of water column exerting pressure on its base, calculated when we have a prior information of total tension in pipe and is represented as Hliquid = (Ttkn-((γwater*Acs*(Vfw)^2)/[g]))/(γwater*Acs) or Head of Liquid in Pipe = (Total Tension in Pipe in KN-((Unit Weight of Water in KN per Cubic Meter*Cross-Sectional Area*(Velocity of Flowing Water)^2)/[g]))/(Unit Weight of Water in KN per Cubic Meter*Cross-Sectional Area). Total Tension in Pipe in KN is defined as the force that tries to elongate a pipe in KN, Unit Weight of Water in KN per Cubic Meter is the weight of water per unit volume of water, 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 & Velocity of Flowing Water gives the velocity of an element of fluid at a position and time.
How to calculate Head of Water given Total Tension in Pipe?
The Head of Water given Total Tension in Pipe formula is defined as the value of the height of water column exerting pressure on its base, calculated when we have a prior information of total tension in pipe is calculated using Head of Liquid in Pipe = (Total Tension in Pipe in KN-((Unit Weight of Water in KN per Cubic Meter*Cross-Sectional Area*(Velocity of Flowing Water)^2)/[g]))/(Unit Weight of Water in KN per Cubic Meter*Cross-Sectional Area). To calculate Head of Water given Total Tension in Pipe, you need Total Tension in Pipe in KN (Ttkn), Unit Weight of Water in KN per Cubic Meter water), Cross-Sectional Area (Acs) & Velocity of Flowing Water (Vfw). With our tool, you need to enter the respective value for Total Tension in Pipe in KN, Unit Weight of Water in KN per Cubic Meter, Cross-Sectional Area & Velocity of Flowing Water and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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