A sump pump (used to drain water from the basement of houses built below the wat

Question

A sump pump (used to drain water from the basement of houses built below the water table) is draining a flooded basement at the rate of 0.700 L/s, with an output pressure of 2.00 times 10^5 N/m^2. You may neglect frictional losses in both parts of this problem. (a) The water enters a hose with a 3.00 cm inside diameter and rises 2.50 m above the pump. What is its pressure (in N/m^2) at this point? (b) The hose goes over the foundation wall, losing 1.20 m in height, and widens to 4.00 cm diameter. What is the pressure now (in N/m^2)?

Explanation / Answer

P2 = rhoxgxh = (1000kg/m^3)(9.8m/s^2)(2.5m) = 24500 N/m2

a) P = P1 - P2 =2x105 - 2.45x104 =1.725x105 N/m2

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