Topic: Fluid Mechanics
A piezometer and a Pitot tube are tapped into a horizontal water pipe, as shown in figure. The velocity of water at the center of the pipe is (given h1 = 3 cm, h2 = 7 cm, h3 = 12 cm)
- A. 2.4 m/s
- B. 1.53 m/s
- C. 2.07 m/s
- D. 1.93 m/s
Answer: B. 1.53 m/s
Explanation: The dynamic head (h_dynamic) is the difference between the stagnation head measured by the Pitot tube and the static head measured by the piezometer. According to the figure and data, h_dynamic = 12 cm = 0.12 m. Velocity v = $\sqrt{2 * g * h_dynamic}$ = $\sqrt{2 * 9.81 * 0.12}$ = 1.53 m/s.