Assume your home uses the water pipe system below where a pump produces a pressure of P1 =  109053.43 Pa to push the water with a velocity 2.59 m/s through the pipes.  If the pipes in your 1 story house are all 5.63 m above the pump and the water velocity is the same everywhere, what is the water pressure in your house?  a. 5.4e4 Pa b. 60691.40 Pa c. 108992.74 Pa d. 227274.38 Pa

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Chapter1: Units, Trigonometry. And Vectors
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Assume your home uses the water pipe system below where a pump produces a pressure of P1 =  109053.43 Pa to push the water with a velocity 2.59 m/s through the pipes.  If the pipes in your 1 story house are all 5.63 m above the pump and the water velocity is the same everywhere, what is the water pressure in your house? 

a. 5.4e4 Pa
b. 60691.40 Pa
c. 108992.74 Pa
d. 227274.38 Pa
The image illustrates a fluid dynamics scenario involving the flow of fluid through a horizontal pipe with varying cross-sectional areas. 

- The pipe consists of two sections: a narrower section on the left with area \( A_1 \) and a wider section on the right with area \( A_2 \).
- The velocity of the fluid in the narrower section is denoted as \( v_1 \), and in the wider section as \( v_2 \).
- The heights at the two sections are marked as \( y_1 \) and \( y_2 \) respectively, with \( y_2 \) being higher than \( y_1 \), creating a difference in height denoted as \( h \).
- The image clearly shows the direction of fluid flow from the left (narrower section) to the right (wider section), indicated by arrows.
- This diagram likely represents an application of Bernoulli's equation, illustrating how fluid speed and pressure are related to cross-sectional area and height difference.

This concept is key in understanding fluid dynamics, showcasing how changes in pipe width and elevation affect fluid behavior.
Transcribed Image Text:The image illustrates a fluid dynamics scenario involving the flow of fluid through a horizontal pipe with varying cross-sectional areas. - The pipe consists of two sections: a narrower section on the left with area \( A_1 \) and a wider section on the right with area \( A_2 \). - The velocity of the fluid in the narrower section is denoted as \( v_1 \), and in the wider section as \( v_2 \). - The heights at the two sections are marked as \( y_1 \) and \( y_2 \) respectively, with \( y_2 \) being higher than \( y_1 \), creating a difference in height denoted as \( h \). - The image clearly shows the direction of fluid flow from the left (narrower section) to the right (wider section), indicated by arrows. - This diagram likely represents an application of Bernoulli's equation, illustrating how fluid speed and pressure are related to cross-sectional area and height difference. This concept is key in understanding fluid dynamics, showcasing how changes in pipe width and elevation affect fluid behavior.
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