1.) The small piston of a hydraulic lift as shown in the figure has a cross-sectional of 3.00 x 104 m² and its output plunger has a cross-sectional area of 2.00 x 102 m². The lift uses hydraulic oil that has a density of 8.50 x 102 kg/m³. What downward force of magnitude F₁ must be applied to the small piston for the lift to raise a load (car and output plunger) whose weight is 1.50 x 104 N when the bottom surfaces of the piston and the plunger are at the levels with height difference of 1.5 m?
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 small piston of a hydraulic lift as shown
in the figure has a cross-sectional of 3.00 x 10-4 m2
and its output plunger has a cross-sectional area of
2.00 x 10-2 m2
. The lift uses hydraulic oil that has a
density of 8.50 x 102
kg/m3
. What downward force of
magnitude F1 must be applied to the small piston for
the lift to raise a load (car and output plunger) whose
weight is 1.50 x 104 N when the bottom surfaces of
the piston and the plunger are at the levels with
height difference of 1.5 m?
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