In a car lift used in a service station, compressed air exerts a force on a small piston of circular cross section having a radius of r1 = 5.05 cm. This pressure is transmitted by an incompressible liquid to a second piston of radius 14.7 cm.
(a) What force must the compressed air exert on the small piston in order to lift a car weighing 13,300 N? Neglect the weights of the pistons.
(b) What air pressure will produce a force of that magnitude?
(c) Show that the work done by the input and output pistons is the same.
(d) A hydraulic lift has pistons with diameters 7.90 cm and 35.3 cm, respectively. If a force of 825 N is exerted at the input (smaller) piston,what maximum mass can be lifted at the output piston?
