A water pipe having a 2.5 cm inside diameter carries water into the basement of a house at a speed of 0.90 m/s and a pressure of 190 kPa. If the pipe tapers to 1.2 cm and rises to the second floor 7.6 m above the input point, what are the (a) speed and (b) water pressure at the second floor ?

Explanation

To solve the problem, we will use the principles of fluid dynamics, specifically the continuity equation and Bernoulli's equation.

### Given Data:
- Diameter of pipe at section 1 (D1) = 2.5 cm = 0.025 m
- Speed of water at section 1 (V1) = 0.90 m/s
- Pressure at section 1 (P1) = 190 kPa = 190,000 Pa
- Diameter of pipe at section 2 (D2) = 1.2 cm = 0.012 m
- Height difference (h) = 7.6 m
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