The plunger of the hydraulic lift in a gasoline service station has a diameter of 1 inch. It is operated by a compressed air (density = 63 kg/m3) from the tank in which the pressure is 9.315 x 105 pascals. The output piston and the rack on which the car rests are 2 feet lower than the input plunger and together weigh 1,336.33 newtons. What is the weight of the heaviest car that can be lifted if the output piston has a diameter of 1 foot? Assume 80% efficiency of the machine.
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 plunger of the hydraulic lift in a gasoline service station has a diameter of 1 inch. It is operated by a compressed air (density = 63 kg/m3) from the tank in which the pressure is 9.315 x 105 pascals. The output piston and the rack on which the car rests are 2 feet lower than the input plunger and together weigh 1,336.33 newtons. What is the weight of the heaviest car that can be lifted if the output piston has a diameter of 1 foot? Assume 80% efficiency of the machine.
Step by step
Solved in 2 steps
