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 0.85 L/s, with an output pressure of 3.05 × 105 N/m2. Part (a) The water enters a hose with a 2.7 cm inside diameter and rises 2.9 m above the pump. What is its pressure at this point N/m2? You may neglect frictional losses. Numeric : A numeric value is expected and not an expression. P2 = __________________________________________ Part (b) The hose goes over the foundation wall, losing 0.65 m in height, and widens to 4.9 cm in diameter. What is the pressure now in N/m2? You may neglect frictional losses. Numeric : A numeric value is expected and not an expression. P2 = __________________________________________

Explanation / Answer

a)The Pressure at the given point will be:

P = h rho g

P = 2.9 x 1000 x 9.8 = 2.84 x 10^4 Pa

Hence, P = 2.84 x 10^4 Pa

b)P = 3.05 x 10^5 - 2.84 x 10^4 = 2.77 x 10^5 Pa

Hence, P = 2.77 x 10^5 Pa

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