Question

In a car lift compressed air exerts a force F1 on a small piston having a radius of 4.0 cm. This
pressure is transmitted to a second piston of radius 12 cm. (See figure). If the mass of the car to be lifted is 1200 kg. Calculate F1. What is the pressure necessary to accomplish this task ?
(g = 9.8 ms–2)

Answer 1

Answer:

According to Pascal's law, a pressure exerted on a piston creates an equal rise in pressure on another piston in a hydraulic system. Hence, the correct answer is in option \[(B) \Rightarrow 1.47 \times {10^3}N\].

Explanation:

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Answer 2

Given,

The radius of the small piston = 4 cm

The radius of the second piston = 12 cm.

Mass of the car = 1200 kg.

To Find,

The pressure required to lift the car.

Solution,

From Pascal's Law

P₁ = P₂

F₁/A₁ = F₂/A₂

F₁ = F₁*A₁/A₂

F₁ = 1200(9.8) (16)/(144)

F1 = 188160/144

F₁ = 1306.6 N

In this way, we can also get the pressure by dividing this force by the area of the piston.

Hence, the value of F₁ = 1306.6 N.

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