Area of Pipe given Total Required Power Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cross Sectional Area of Pipe = Power/(Length of Pipe*Pressure Gradient*Mean Velocity)
A = P/(Lp*dp|dr*Vmean)
This formula uses 5 Variables
Variables Used
Cross Sectional Area of Pipe - (Measured in Square Meter) - The Cross sectional Area of Pipe refers to the area of the pipe through which the given liquid is flowing.
Power - (Measured in Watt) - The Power refers to the rate at which energy is transferred or converted by the hydraulic system.
Length of Pipe - (Measured in Meter) - The Length of Pipe refers to total length from one end to another in which the liquid is flowing.
Pressure Gradient - (Measured in Newton per Cubic Meter) - The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.
Mean Velocity - (Measured in Meter per Second) - The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel.
STEP 1: Convert Input(s) to Base Unit
Power: 34.34 Watt --> 34.34 Watt No Conversion Required
Length of Pipe: 0.1 Meter --> 0.1 Meter No Conversion Required
Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required
Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = P/(Lp*dp|dr*Vmean) --> 34.34/(0.1*17*10.1)
Evaluating ... ...
A = 2
STEP 3: Convert Result to Output's Unit
2 Square Meter --> No Conversion Required
FINAL ANSWER
2 Square Meter <-- Cross Sectional Area of Pipe
(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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Area of Pipe given Total Required Power Formula

​LaTeX ​Go
Cross Sectional Area of Pipe = Power/(Length of Pipe*Pressure Gradient*Mean Velocity)
A = P/(Lp*dp|dr*Vmean)

What is Power?

Power is the amount of energy transferred or converted per unit time. In the International System of Units, the unit of power is the watt, equal to one joule per second. In older works, power is sometimes called activity. Power is a scalar quantity.

How to Calculate Area of Pipe given Total Required Power?

Area of Pipe given Total Required Power calculator uses Cross Sectional Area of Pipe = Power/(Length of Pipe*Pressure Gradient*Mean Velocity) to calculate the Cross Sectional Area of Pipe, The Area of Pipe given Total Required Power formula is defined as the area of the section in the flow, measured perpendicular to the flow. Cross Sectional Area of Pipe is denoted by A symbol.

How to calculate Area of Pipe given Total Required Power using this online calculator? To use this online calculator for Area of Pipe given Total Required Power, enter Power (P), Length of Pipe (Lp), Pressure Gradient (dp|dr) & Mean Velocity (Vmean) and hit the calculate button. Here is how the Area of Pipe given Total Required Power calculation can be explained with given input values -> 2 = 34.34/(0.1*17*10.1).

FAQ

What is Area of Pipe given Total Required Power?
The Area of Pipe given Total Required Power formula is defined as the area of the section in the flow, measured perpendicular to the flow and is represented as A = P/(Lp*dp|dr*Vmean) or Cross Sectional Area of Pipe = Power/(Length of Pipe*Pressure Gradient*Mean Velocity). The Power refers to the rate at which energy is transferred or converted by the hydraulic system, The Length of Pipe refers to total length from one end to another in which the liquid is flowing, The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location & The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel.
How to calculate Area of Pipe given Total Required Power?
The Area of Pipe given Total Required Power formula is defined as the area of the section in the flow, measured perpendicular to the flow is calculated using Cross Sectional Area of Pipe = Power/(Length of Pipe*Pressure Gradient*Mean Velocity). To calculate Area of Pipe given Total Required Power, you need Power (P), Length of Pipe (Lp), Pressure Gradient (dp|dr) & Mean Velocity (Vmean). With our tool, you need to enter the respective value for Power, Length of Pipe, Pressure Gradient & Mean Velocity 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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