19. Fluid Mechanics
Pascal's Law & Hydraulic Lift
6PRACTICE PROBLEM
A heavy toolbox that has a bottom surface area of 20.0 cm2 is accidentally pressed inside of an automotive garage using a hydraulic lift. The hydraulic lift consists of a large piston that has a diameter of 30.0 cm and a small piston that has a diameter of 5.0 cm. The lift is operated by applying force on the small piston using a lever mechanism, that is similar to the one shown in the diagram below. The lever has a length of "𝐿". What is the pressure applied on the toolbox if 400 N is applied to the lever?
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)
A heavy toolbox that has a bottom surface area of 20.0 cm2 is accidentally pressed inside of an automotive garage using a hydraulic lift. The hydraulic lift consists of a large piston that has a diameter of 30.0 cm and a small piston that has a diameter of 5.0 cm. The lift is operated by applying force on the small piston using a lever mechanism, that is similar to the one shown in the diagram below. The lever has a length of "𝐿". What is the pressure applied on the toolbox if 400 N is applied to the lever?