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Question -

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 have to bear?



Answer -

The maximum mass of a car that can be lifted, m =3000 kg

Area of cross-section of the load-carrying piston, A =425 cm= 425 × 10–4 m2

The maximum force exerted by the load, F = mg

= 3000 × 9.8

= 29400 N

The maximum pressure exerted on the load-carrying piston, 

= 6.917 × 105 Pa

Pressure is transmitted equally in all directions in a liquid.Therefore, the maximum pressure that the smaller piston would have to bear is6.917 × 105 Pa.

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