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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

`14.7xx10^(3)N`

B

`1.47xx10^(3)N`

C

`2.47xx10^(3)N`

D

`24.7xx10^(3)`N

Text Solution

Verified by Experts

The correct Answer is:
B
`(F_(1))/(A_(1))=(F_(2))/(A_(2))`
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In a car lift, compressed air exerts a force F_(1) on a small piston having a radius of 0.5 cm . This pressure is transmitted to a second piston of radius 10.0 cm . If the mass of the car to be lifted is 1350 kg. calculate F_(1) . What is the pressure necessary to ac complish this task?

In a hydraulic lift air exerts a force F on a small piston of radius 5 cm. The pressure is transmitted to the second piston of radius 15 cm. If a car of mass 1350 kg is to be lifted, calculate force F that is to be applied.

Knowledge Check

  • In a vehicle lifter the enclosed gas exerts a force F on a small piston having a diameter of 8 cm. This pressure is transmitted to a second piston of diameter 24 cm. If the mass of the vehicle to be lifted is 1400 kg then value of F is

    A
    1200 N
    B
    1800 N
    C
    1600 N
    D
    700 N

  • In a car lift , compressed air with a gauge pressure of 4.0 xx 10^(5) Pa is used to raise a piston with a circular cross-sectional area . If the radius of the piston is 0.17 m , what is the maximum mass that can be raised using this piston ?

    A
    530 kg
    B
    3700 kg
    C
    9800 kg
    D
    22,000 kg

  • In a hydraulic lift, used at a service station the radius of the large and small piston are in the ration of 20 : 1 . What weight placed on the small piston will be sufficient to lift a car of mass 1500 kg ?

    A
    `3.75` kg
    B
    `37.5` kg
    C
    `7.5` kg
    D
    `75` kg

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