Compressed air in a car lift exerts a force on a small piston of circular cross section having a rad
Compressed air in a car lift exerts a force on a small piston of circular cross section having a radius of r1 = 10 cm. This pressure is transmitted by an incompressible liquid to a second piston of radius r2 = 20 cm. What force must the compressed air exert on the small piston in order to lift a car weighing 15,500 N? [The weights of the pistons are negligible.]
Compressed air in a car lift exerts a force on a small piston of circular cross section having a radius of r1 = 10 cm. This pressure is transmitted by an incompressible liquid to a second piston of radius r2 = 20 cm. What force must the compressed air exert on the small piston in order to lift a car weighing 15,500 N? [The weights of the pistons are negligible.]
Pressure is the same on both pistons, so F₁/A₁ = F₂/A₂. Area depends on r², so F₁ = F₂ × (r₁/r₂)².
F₁ = 15,500 × (10/20)² = 15,500 × 1/4 = 3,875 N.
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