A 12000-N car is raised using a hydraulic lift, which consists of a U-tube with
ID: 1913491 • Letter: A
Question
A 12000-N car is raised using a hydraulic lift, which consists of a U-tube with arms of unequal areas, filled with oil with a density of 800kg/m^3 and capped at both ends with tight-fitting pistons. the wider arm of the U- tube has a radius of 18cm and the narrower arm has a radius of 5.00cm. the car rests on the piston on the wider arm of the U-tube. The pistons are initially at the same level. What is the force that must be applied to the smallest piston in order to lift the car after it has been raised 1.20m? neglect the weight of the piston. show all work answers are (a)0.954kN (b)1.88kN (c)1.96kN (d)3.67kN (e)1.20kNExplanation / Answer
Pascal's principle Pressure1 = Pressure2 F1/A1 = F2/A2 (F=force and A=area) A1 =Pi*(0.05)² A2 =Pi(0.18)² F2=12000 F1 = 12000*(0.05)² / (0.18)² = 926N
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