Avacuum gage attached to a power plant condenser gives a reading of 27.86 in. of mercury. the surrounding atmospheric pressure is 14.66 lbf/in. determine the absolute pressure inside the condenser, in lbf/in. the density of mercury is 848 lb/ft and the acceleration of gravity is g = 32.0 ft/s? .

Industrial processes often require the damping of vibrations. consider a workbench that uses four large ideal springs in place of traditional legs, with each spring supporting one corner of the workbench and exhibiting a force constant of 47500 n/m. this workbench is used when creating products that involve highly unstable chemicals. according to specifications, the acceleration of the manufacturing equipment must be held to less than 22.3 m/s2 for the manufacturing process to proceed safely. the amplitude of vibrations are expected to remain under 0.622 mm throughout. given that the workbench and maufacturing equipment combine to 6.05 kg, find the maximum acceleration expected of the equipment and workbench. (ignore the mass of the springs.)