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Water is circulating through a closed system of pipes in atwo-floor apartment. O

ID: 1745935 • Letter: W

Question

Water is circulating through a closed system of pipes in atwo-floor apartment. On the first floor, the water has a gaugepressure of 4.0 x 105 Pa and a speed of 2.0 m/s.However, on the second floor, which is 3.6 m higher, the speed ofthe water is 4.6 m/s. The speeds are different because the pipediameters are different. What is the gauge pressure of the water onthe second floor?
Used equationP2-P1+1/2p(v22-v21)+pg(h2-h1) Water is circulating through a closed system of pipes in atwo-floor apartment. On the first floor, the water has a gaugepressure of 4.0 x 105 Pa and a speed of 2.0 m/s.However, on the second floor, which is 3.6 m higher, the speed ofthe water is 4.6 m/s. The speeds are different because the pipediameters are different. What is the gauge pressure of the water onthe second floor?
Used equationP2-P1+1/2p(v22-v21)+pg(h2-h1)

Explanation / Answer

P1 + 1/2 v12 + g h1 = P2 + 1/2 v22 + g h2 = constant P2  - P1 = 1/2 (v12 - v22) + g(h1- h2) Also, you must use "absolute" , not "gauge", pressure inthis equation   (1 Atm = 1.01 * 10E5 Pa) P2  - P1 = 1/2 (v12 - v22) + g(h1- h2) Also, you must use "absolute" , not "gauge", pressure inthis equation   (1 Atm = 1.01 * 10E5 Pa)