A large closed cylindrical tank contains water. Initially, the trapped air above the water surface is at a pressure of 2p₀ ( p₀ being the atmospheric pressure) and occupies a height h₀ . A hole is located in the tank wall at a depth h₁ below the top, from which water escapes. A long vertical tube, open to the atmosphere, is connected to the lower part of the tank. Determine the height of the water level in the long t

Step-by-step solution

When water ceases to flow out of the hole, the fluid system reaches a state of static equilibrium. For the flow to stop, the pressure of the water just inside the hole must be equal to the external atmospheric pressure, p₀ . The long vertical tube is open to the atmosphere, which means the pressure at the free surface of the water in this tube is also p₀ . In a continuous body of static fluid, points that are at the same pressure must be at the same horizontal level. Since both the free surface in the long tube and