Problem: A sump pump is draining a flooded basement at the rate of 0.600 L/s, with an output pressure of 3.00 x 105N/m2. 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 at this point in N/m2?(b) The hose then loses 1.80 m in height from this point as it goes over the foundation wall, and widens to 4.00 cm diameter. What is the pressure now in N/m2?

FREE Expert Solution

(a)

Bernoulli's equation:

P1+12ρv12+ρgh1=P2+12ρv22+ρgh2

Since v1 = v2 and given that the density of water is 1000 kg/m3, we have:

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Problem Details

A sump pump is draining a flooded basement at the rate of 0.600 L/s, with an output pressure of 3.00 x 105N/m2. 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 at this point in N/m2?

(b) The hose then loses 1.80 m in height from this point as it goes over the foundation wall, and widens to 4.00 cm diameter. What is the pressure now in N/m2?

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