The car lift at your neighborhood garage is designed such that the radii of the input piston and output plunger are 8.80 10-3 m and 0.120 m, respectively. The garage manager likes to use a hydraulic oil in the lift that has a density of 7.80 102 kg/m3. Compared to the weight of the output plunger, the weight of the input piston is negligible. Determine the force Fi needed at the input piston in order to support the 12,500-N combined weight of a car and the output plunger under the following conditions. (a) The bottom surfaces of the input piston and output plunger are at the same level. (b) The bottom surface of the input piston is 2.80 m below that of the output plunger.
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
The car lift at your neighborhood garage is designed such that the radii of the input piston and output plunger are 8.80 10-3 m and 0.120 m, respectively. The garage manager likes to use a hydraulic oil in the lift that has a density of 7.80 102 kg/m3. Compared to the weight of the output plunger, the weight of the input piston is negligible. Determine the force Fi needed at the input piston in order to support the 12,500-N combined weight of a car and the output plunger under the following conditions.
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