A 15 000-N car on a hydraulic lift rests on a cylinder with a piston of radius 0.20 m.If a connecting cylinder with a piston of 0.040-m radius is driven by compressed air,what force must be applied to this smaller piston in order to lift the car?
A)600 N
B)1 500 N
C)3 000 N
D)15 000 N

Question

Quizplus · Accepted Answer

The force applied to the smaller piston is determined by the ratio of the areas of the pistons. The area of the larger piston is π(0.20)^2 and the area of the smaller piston is π(0.040)^2. The force needed is (0.040/0.20)^2 * 15,000 N = 600 N.

A 15 000-N Car on a Hydraulic Lift Rests on a Cylinder