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In a car lift compressed air exerts a force $F_{1}$ on a small piston having a radius of 5cm. This pressure is transmitted to a second piston of radius 15cm. If the mass of the car to be lifted is 1350 kg. What is the pressure necessary to accomplish this task $(g = 9.8 {m/s}^{2})$

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1.87 \times 10^{5} {N/m}^{2}

18.7 \times 10^{5} {N/m}^{2}

2.87 \times 10^{5} {N/m}^{2}

28.7 \times 10^{5} {N/m}^{2}

answer is A.

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Detailed Solution

\frac{F}{A} = P

$= \frac{1470}{π {(5 \times 10^{- 2})}^{2}} = \frac{1470}{π \times 25 \times 10^{- 4}}$

$= 18.7 \times 10^{4} = 1.87 \times 10^{5} {N/m}^{2}$

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