An incompressible fluid is flowing through a vertical pipe with a constriction.

Question

An incompressible fluid is flowing through a vertical pipe with a constriction. The wide section is 2.00 cm in diameter and is at the top of the pipe. The pressure of the fluid in the wide section at the top is 200 kPa. The velocity of the fluid in the wide section is 4.00 m/s. The narrow section is 1.00 cm in diameter and is located 2.00 m below the wide section. What is the pressure of the fluid in the narrow section? (density of the fluid is 1,000 kg/m3)

100 kPa

100 kPa

Explanation / Answer

Continuity
A1v1=A2v2

Bernoullis equation
.5dv1^2+dgy1+P1= .5dv2^2+dgy2+P2

where d is density, g is gravity, and v is velocity


Ugh ive been on this for a long time.
So i found the velocity of V2 by using the continuity equation. I switched all my units to cm then i converted it back to m.

Then i plugged in everything into bernoullis equation and solved for pressure2. this is what i put in.

.5(1000)4^s + 1000(9.8)2 + 200000= .5(1000)16^2 + P2

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