You are designing a hydraulic lift for an automobile garage. It will consist of
ID: 1474036 • Letter: Y
Question
You are designing a hydraulic lift for an automobile garage. It will consist of two oil-filled cylindrical pipes of different diameters. A worker pushes down on a piston at one end, raising the car on a platform at the other end. (See the figure (Figure 1) .) To handle a full range of jobs, you must be able to lift cars up to 4000 kg , plus the 400 kg platform on which they are parked. To avoid injury to your workers, the maximum amount of force a worker should need to exert is 100 N .
1. What should be the diameter of the pipe under the platform?
Explanation / Answer
P1 = P2
F/pi*r1^2 = W/pi*r2^2
F = 100
r1 = 25/2 cm
W = 4400*9.8 = 43120 N
r2 = d/2
100/(25/2)^2 = 43120/(d/2)^2
d = 519 cm
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2)
mechanical advantage = F/W = h2/h1
100/43120 = h2/60
h2 = 0.139 cm
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