Use the worked example above to help you solve this problem. In a car lift used

Question

Use the worked example above to help you solve this problem. 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 = 4.85 cm. This pressure is transmitted by an incompressible liquid to a second piston of radius 16.1 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?

Explanation / Answer

r1 =4.85 cm, r2 =16.1 cm, F2 =13,300 N

(a) In hydrollic system Pressure is constant

F1/A1 =F2/A2

F1 = (F2/A2)A1

F1 = F2 (r1/r2)2 =13300(4.85/16.1)2

F1 =1206.9 N

(b) P =F1/A1 = F1(4pi*r12) =13300/(4*3.14*0.0485*0.0485)

P = 4.5x105 Pa

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