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Foghorn
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Homework Statement
Water with pressure of 120 kPa is flowing through a rectangular pipe with velocity 1.9 m/s. At one point, the pipe narrows to one half of its original diameter. What is the velocity of the water at this narrower point? What is the pressure?
Homework Equations
v1A1 = v2A2?
P = F/A
The Attempt at a Solution
I figured the pressure was irrelevant to figuring out the velocity in this equation, since water is basically incompressible. So, I just established v2 as the unknown variable...
1.9 m/s * A = v2 * A/2
(1.9 m/s * A)/(A/2) = v2
v2 = 3.8 m/s
For the pressure, I said that no change in energy is going to occur, so there's not going to be any change in force either...
120 = F/A
P2 = (F/.5A)
.5P2 = F/A
.5P2 = 120
P2 = 60 kPa