In a service station\'s hydraulic lift, the diameter of the large piston is 200

Question

In a service station's hydraulic lift, the diameter of the large piston is 200 mm and the diameter of the small piston is 30 mm . Force is exerted on the small piston by an air compressor.

Part A

How much gauge pressure must the compressor supply to lift a 1900-kg car?

Express your answer with the appropriate units.

In a service station's hydraulic lift, the diameter of the large piston is 200 mm and the diameter of the small piston is 30 mm . Force is exerted on the small piston by an air compressor.

Part A

How much gauge pressure must the compressor supply to lift a 1900-kg car?

Express your answer with the appropriate units.

Explanation / Answer

area of small piston will be:

A = pi r^2

A = 3.14 x (15 x 10^-3)^2 = 7.07 x 10^-4 m^2

Weight of the car:

W = mg = 1900 x 9.8 = 18620 N

Pressure = Force/Area

P = 18620/7.07 x 10^-4 = 2.63 x 10^7 Pa

Hence, P = 2.63 x 10^7 Pa

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