An incompressible fluid is flowing through a vertical pipe with a constriction.
ID: 2116033 • Letter: A
Question
An incompressible fluid is flowing through a vertical pipe with a constriction. The wide section is 2.0 cm in diameter and is at the top of the pipe. The pressure of the fluid in the wide section at the top is 200kPa. The velocity of the fluid in the wide section is 4.0 m/s. The narrow section is located 4.0 m below the wide section. What is the diameter of the narrow section for the pressure of the flud in the narrow section to equal the pressure in the wide section? ( Density of the fluid is 1000 kg/m^3)
1.28 cm
1.00 cm
1.50 cm
1.36 cm
1.12 cm
Explanation / Answer
v^2/2 + g*z = v'^2/2
v' = 9.716 m/s
A1v1 = A2V2
2^2*4 = x^2*9.716
x =1.28 cm
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