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In car lift compressed air exerts a forc...

In car lift compressed air exerts a force `F_1` on a small piston having a radius of 5 cm. This pressure is transmitted to a second piston of radius 15 cm. If the mass of the car to be lifted is 1350 kg, what is `F_1 ?` What is the pressure necessary to ac complish this task ?

A

1500 N

B

2000 N

C

1200 N

D

800 N

Text Solution

Verified by Experts

The correct Answer is:
A
`r_1=5cm,r_2=15cm" ":." " (r_1)/(r_2)=1/3`
`F_2=mg=1350xx10N`
`P=(F_2)/(A_2)`
As the pressure through air is transmitted equally in all directions.
`:." " P=(F_1)/(pir_1^2)=(F_2)/(pir_2^2)`
`:." "F_1=F_2((r_1)/(r_2))^2=1350xx10xx(1/3)^2=1500N`
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