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2.5 x 105N/m2 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)
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P2 = 2.8 x 105 Pa Solution: By continuity equation: v2 = (A1v1) / A2 = ( (5.0 / 2)2 (0.60) ) / ( (2.6 / 2)2) v2 = 2.2 m/s By Bernoullis Equation: P1 + gh1 + (v1)2 = P2 + gh2 + (v2)2 (Po = atmospheric pressure)
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