What will be the flow speed and pressure in a 2.6 cm diameter pipe on the second floor 5.0 m above?
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Water circulates throughout a house in a hot-water heating system. The water is pumped out at a speed of 0.50 m/s through a 4.0 cm diameter pipe in the basement under a pressure of 3.0 ATM.
Solution: First calculate the flow speed on the second floor, calling it v2, using the equation of continuity. We can call the basement point 1. v2 = (v1A1) / (A2) = (v1(r1)2) / ((r2)2) = (0.50 m/s)(0.020 m)2 / (0.013 m)2 = 1.2 m/s To find pressure, we use Bernoullis equation: P2 = P1 + g(h1 h2) + ((v1)2 (v2)2)