Section: Fluid Mechanics | Marks: 2
Water enters a pipe of cross-sectional area $A_1$ that branches out into sections of equal areas $A_2$ and $A_3$ as shown in the figure below. At one instant, the flow velocities are $V_1 = 2\text{ m/s}$, $V_2 = 3\text{ m/s}$ and $V_3 = 5\text{ m/s}$. At another instant, $V_1 = 3\text{ m/s}$ and $V_2 = 4\text{ m/s}$. What is the value of $V_3$ at this instant?
- A. $5\text{ m/s}$
- B. $6\text{ m/s}$
- C. $7\text{ m/s}$
- D. $8\text{ m/s}$