1. The capacity ofa water reservoir is related to depth by the equation V = Tthzil 2 If the reservoir receives a ow of water at the constant rate of 2 m3 per minute, determine the rate at which the depth increases when the depth is already 4m. 2. An open cylindrical vessel mounted on its axis contains a liquid to a depth of 5 m and is allowed to discharge freely from hole with a diameter of 25 mm located in the side of the tank at a depth of 2 m. If the vessel has a diameter of 4 m, determine the depth remaining in the tank after 30 minutes. Water ows through a pipe with an internal diameter of 50 mm at a rate of 5 liters per second and discharges through a nozzle that has a diameter of25 mm. Determine the force on the nozzle required to hold it in place. Lu 4. Water enters a 100 mm ID 90 elbow, positioned in a horizontal plane, at a velocity of 6 mis and a pressure of 70 kNim2 gauge. Neglecting friction, what are the magnitude and the direction of the force that must be applied to the elbow to keep it in position without moving