NEM 345 Homework II Due to: 21 October 2014 Q1. A circular gate having a diameter of 2 m is located in the sloping side of tank as shown in below figure. The gate is hinged along its top edge and held in position by the force P. Friction at the hinge can be neglected. Weight of the gate is 350 kg. (a) Determine the required value of P. (b) If the gate is rectangular having a width of 2 m and having same surface area with circular one, determine the required value of P. Q2. The coffee cup in below figure is removed from the drag racer, placed on a turntable, and rotated about its central axis until a rigid-body mode occurs. Find (a) the angular velocity that will cause the coffee to just reach the lip of the cup and (b) the gage pressure at point A for this condition. Q3. The closed vessel of below figure contains water with an air pressure of Pair at the water surface. One side of the vessel contains a spout that is closed by a 0.15 m-diameter circular gate that is hinged along one side as illustrated. The horizontal axis of the hinge is located below 3 m below the water surface. Neglect the weight of the gate and friction at the hinge. Determine the maximum air pressure (Pair ) if the gate does not open in atmospheric environment ( P0 = 101 kPa). Q4. In below figure, pipe A contains gasoline (SG =0.7), pipe B contains oil (SG =0.9), and the manometer fluid is mercury. Determine the new differential reading if the pressure in pipe A is decreased 25 kPa, and the pressure in pipe B remains constant. The initial differential reading is 0.30 m as shown. Q5. Compute the horizontal and vertical components of the hydrostatic force on the quarter-circle panel at the bottom of the water tank in below figure.