Question

The figure shows a cylindrical tank of 80 em in diameter which is fully filled with water. In order to increase the flow from the tank to the exit pipe on the left, an additional pressure is applied to the water surface by an air compressor to supply air to the upper air chamber of the tank. The external walls of the tank are exposed to the atmospheric conditions of the area. You are required to determine the hydrostatic conditions at the surface A (vertical circular wall at the end of the tank fully loaded) due to the water in the tank when the following conditions are present at the air chamber. Consider that the atmospheric pressure 1 atm 101,325 Pa, the gage pressure at the upper air chamber is Po 9.81 m/s, and ρwater-998 kg/m 2.5 atm-253,312.5 Pa. Let g Determine: a) Equivalent elevation ho of water of the acting pressure Po at the air chamber in order to b) Total c) Gage pressure at the geometric centroid of the vertical circular Mlat wall A in kPa. have atmospheric pressure on top of ho in meters. istance from that atmospheric pressure location to the geometric centroid of the vertical circular flat wall A in meters. d) Hydrostatic force acting on that wall due to the water at the tank in N units. Center of pressure location on that wall with respect to its geometric centroid in meters. 0 Absolute pressure at the geometric centroid of the vertical eircular flat wall A in kPa. Patm Po -2.5 atm 2.5*101,325 Pa 253.312.5 Pa ho Air, Po Water level D-80 cm 80 cm Water

Answer 1

Equivalent elevation head Cho) 253,312,5 25.874 m o tota clutonce 2. (999 x g..al X 26.29y) X100. KR 25% 232 kPa 129.3 KN -25 844 253, 231-+ 101.32s = 358.55 kPa ,