   Chapter 12, Problem 28PE

Chapter
Section
Textbook Problem

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 0.750 us, with an output pressure of 3.00 × 10 5 N/m2. (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? (b) The hose goes over the foundation wall, losing 0.500 m in height, and widens to 4.00 cm in diameter. What is the pressure now? You may neglect frictional losses in both parts of the problem.

(a)

To determine

The pressure at point above the pump

Explanation

Given:

Density of water =ρ=1000 kgm3

Initial pressure =P1=3×105 Nm2

Final pressure =P2

Initial height =h1=0 m

Final height above the pump =h2=2.50 m

Formula Used:

Using Bernoulli's theorem

P1+ρgh1=P2+ρgh2

Calculation:

Using the equation

P1+ρ</

(b)

To determine

The new pressure.

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