Fluid

do it all plz

simple is good

Question # 1 A long, solid cylinder of radius 2 ft hinged at point A is used as an automatic gate, as shown in Fig. When the water level reaches 15 ft, the cylindrical gate opens by turning about the hinge at point A. Determine the hydrostatic force acting on the cylinder (Answer 1747 lbf) 15 ft 2 ft Question #2 Consider a heavy car submerged in water in a lake with a flat bottom. The driver's side door of the car is 1.1 m high and 0.9 m wide, and the top edge of the door is 8 m below the water surface. (a) Determine the net force acting on the door (normal to its surface) and the location of the pressure centre if the car is well-sealed and it contains air at atmospheric pressure (Answer 83 KN and 8.56 m) (b) The car is filled with water. Question 3 Consider a 4-m-long, 4-m-wide, and 1.5-m-high aboveground swimming pool that is filled with water to the rim. (a) Determine the hydrostatic force on each wall and the distance of the line of action of this force from the ground. (b) If the height of the walls of the pool is doubled and the pool is filled, will the hydrostatic force on each wall double or quadruple? Why? Question 4 The flow of water from a reservoir is controlled by a 5-ft-wide L-shaped gate hinged at point A, as shown in Fig. If it is desired that the gate open when the water height is 8 ft, determine the mass of the required weight. (Answer 15400 lbf) 8 ft W s = 7 ft FR h=8 ft