You are designing a hydraulic lift for an automobile garage. It will Consist of

Question

You are designing a hydraulic lift for an automobile garage. It will Consist of two oil-filled cylinders of different diameters. A worker pushes down on a piston at one end raising the car on a platform at the other end. You must be able to lift cars up to 3000 kg, plus the 500 kg platform on which they are parked. The maximum amount of force a worker should need to exert is 100 N. a. What is the area of the small pipe (the worker?s pipe)? b. What should be the area of the large pipe (under the car)? c. What should be the diameter of the large pipe? d. When the worker pushes down with a stroke 0.5 m long, how high will the car lift up?

Explanation / Answer

a) area = a1 = pi*r1^2 = 3.14*(0.25/2)^2 = 0.0490625 m^2

b)

P1 = P2

F1/a1 = F2/a2

a2 = F2*a1/F1

a2 = (3500*9.8*0.0490625)/100

a2 = 16.8284375 m^2 <------------answer

c) a2 = pi*r2^2

r2 = 2.315 m

d = 2r2 = 4.63 m = 463 cm

d)

a1*h1 = a2*h2

h2 = (0.0490625*0.5)/16.8284375

h2 = 0.00146 m

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