Interactive Solution 11.35 presents one method for modeling this problem. Multip

Question

Interactive Solution 11.35 presents one method for modeling this problem. Multiple-Concept Example 8 also presents an approach to problems of this kind. The hydraulic oil in a car lift has a density of 8.09 x 10^2 kg/m^3. The weight of the input piston is negligible. The radii of the input piston and output plunger are 8.47 x 10^-3 m and 0.196 m, respectively. What input force F is needed to support the 29000-N combined weight of a car and the output plunger, when (a) the bottom surfaces of the piston and plunger are at the same level, and (b) the bottom surface of the output plunger is 1.60 m above that of the input plunger?

(a) Number Units
(b) Number Units

Explanation / Answer

Given that Fout = 29000 N rout = 0.196m rin = 8.47 x 10^-3 m Therefore a) We know that Fin / Fout = Ain / Aout Fin = Fout * (rin / rout)^2 = 29000 * ( 8.47 x 10^-3 / 0.196)^2 = 54.15 N b) here rout = 1.60 m Fin / Fout = Ain / Aout Fin = Fout * (rin / rout)^2 = 29000 * ( 8.47 x 10^-3 / 1.60)^2 = 0.8126 N

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