Question

The Car Lift In a car lift used in a service station, compressed air exerts a force on a small piston that has a circular cross section of radius 5.03 cm. This pressure is transmitted by a liquid to a piston that has a radius of 12.7 cm. (a) What force must the compressed air exert to lift a car weighing 12,500 N? SOLUTION Conceptualize Review the material about Pascal's law to understand the operation of a ca

Answer 1

Step-by-step explanation:

The problem is based on the Pascal law . Pressure exerted by air will be transmitted to lift the car

Let force exerted by air be F

pressure by air = F / π r² , r is cross sectional area of small piston

= F / (π x 5.03²)

Pressure by weight of car

= 12500 / (π x 12.7²)

The two pressures are equal .

F / (π x 5.03²) = 12500 / (π x 12.7²)

F = 12500 x (5.03² / 12.7²)

= 1960.8 N