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Mechanical Properties Of Fluids

Question
CBSEENPH11020051

A hydraulic automobile lift is designed to lift cars with a maximum mass of 3000 kg. The area of cross-section of the piston carrying the load is 425 cm2. What maximum pressure would the smaller piston has to bear?

Solution

Area of cross-section of the piston, A = 425 cm2 = 4.25 cross times space 10 to the power of negative 2 end exponent space straight m squared 
Maximum load on piston, F = 3000 kg = 3000 X 9.8 N 
Therefore, 
Maximum pressure on the piston on which car is, 

straight P space equals space straight F over straight A space equals space fraction numerator 3000 space cross times space 9.8 over denominator 4.25 space cross times space 10 to the power of negative 2 end exponent end fraction space

space space space space space space space space space space space space space space space equals space 6.92 space cross times 10 to the power of 5 space Pa