NOTE : Assume that the hydraulic lift is cylindrical, and the values of D given
ID: 1638794 • Letter: N
Question
NOTE: Assume that the hydraulic lift is cylindrical, and the values of D given in the diagram are the diameters of the hydraulic lift at those points.
Q1. A car mechanic uses an old in-ground hydraulic lift to raise cars. The hydraulic lift uses an electric motor to push down on one side of the fluid inside of the hydraulic lift, in order to lift the car and frame on the other side, as seen in figure 1. At the moment, the mechanic has a car that he would like to raise. Together, the car and the frame weigh 2,500 kg and distributes the weight evenly across the piston. Car lift Figure 1: Hydraulic lift (a) How much pressure does the car and frame exert on the hydraulic lift? (b) How much force does the motor need to exert on the piston to prevent the left side piston from lifting? (c) If the motor exerts a force of 500 N, does the car move? At what acceleration? (d) Unfortunately, the motor can only exert a maximum force of 400 N. The mechanic would like to adjust the hydraulic lift, so that it possible for the motor to lift some of the heavier cars. Discuss a potential solution.Explanation / Answer
a) P= Force / area
= 2500*9.8 / pi*2^2
= 1949.64 N/m2
b) F1/A1 = F2/A2
2500*9.8 / 4^2 = F2 / 0.5^2
F2 = 382.82 N
c) F1 / A1 = F2/A2
F1 / 4^2 = 500/ 0.5^2
F1 = 32000 N
net force = (32000 - 2500*9.8) = 7500 N
acceleration = 7500 / 2500 = 3 m/s2
D) 400 N force would be able to lift the car
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