3. A vertical frictionless piston cylinder contains air at a pressure of 300 KPa with atmospheric pressure of 100 KPa. The diameter of the piston is 0.25m, and g = 9.8m/s2. Determine the piston's mass.
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- One side of the container has a 03-m square door that is hinged at its top edge. If the container is filled with water, determine the smallest force F that must be applied to the bottom edge of the door to keep it closed.The weight of the cylindrical tank is negligible in comparison to the weight of water it contains (water weighs 62.4lb/ft3). The coefficient of static friction between the tank and the horizontal surface is s. (a) Assuming a full tank, find the smallest force P required to tip the tank, and the smallest s that would allow tipping to take place. (b) If the force P = 200 lb initiates tipping, determine the depth of water in the tank.The cylindrical water tank with R = 10 ft and H = 1.6 ft has thin steel walls of uniform thickness and weighs 18000 lb when empty. Determine the depth of the water h for which the center of gravity G of the tank plus water will be located at the surface of the water. For water, use =62.4lb/ft3.
- The gage pressure of the air in the tank shown is measured to be 50 kPa. Determine the differential height h of the mercury columnA closed tank rectangular in plane with vertical sides is 1.8m deep and contains water to a depth of 1.2m. Air is pumped into the space above the water until the air pressure is 35kN/m2. If the length of one wall of the tank is 3m, determine the resultant force on this wall and the height of the centre of pressure above the baseDetermine the pressure at a point 10 m below the free surface in a fluid that has a variable density in kilograms per cubic meter given the density equal to 450+ ah, in which a = 12kg/m^4 and h is the distance in meter measured from the free surface.
- A vertical hydraulic cylinder has a piston with a diameter of 115 mm.If the ambient pressure is 100 kPa,determine the mass of the piston if the pressure inside is 950 kPa.Determine the total pressure and depth of centre of pressure on a plane rectangular surface of 1 m wide and 3 m deep when its upper edge is horizontal and (a) coincides with water surface (b) 2 m below the free water surface.The pressure at the base of the mountain is 750mm of Hg and at its top is 600 mm of Hg. If the density of the air is 1kg/m^3, then what is the height of the mountain?
- The pressure in a natural gas pipeline is measured by the manometer shown, with one of the arms open to the atmosphere where the local atmospheric pressure is 14.2 psia. Determine the absolute pressure in the pipeline.A tank of water 4 m deep receives a constant upwardacceleration a z . Determine ( a ) the gage pressure at the tankbottom if a z = 5 m 2 /s and ( b ) the value of a z that causes thegage pressure at the tank bottom to be 1 atm.A gas is contained in a vertical, frictionless piston– cylinder device. The piston has a mass of 5 kg and a cross-sectional area of 35 cm2. A compressed spring above the piston exerts a force of 75 N on the piston. If the atmospheric pressure is 95 kPa, determine the pressure inside the cylinde