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Most cars have hydraulic brakes. When a person pushes on the brake pedal, a force is applied to a small piston with a cross-sectional area of 1.8 cm2. By Pascal's Principle, the pressure is transmitted through the brake fluid to two larger pistons (each with an area of 8 cm2). The larger pistons push on the brake pads and the brake pads rub against the rotor (which stops the car). When a force of 7.6 N is applied by the brake pedal to the small piston, what force (in N) does each of the larger pistons apply to the rotor?

Respuesta :

Answer:

[tex]P_2 = 33.8 N[/tex]

Explanation:

By Pascal's law when we push the small piston by some force then our force will transmit same pressure in all direction

So we will have

[tex]\frac{P_1}{A_1} = \frac{P_2}{A_2}[/tex]

here we know that

[tex]P_1 = 7.6 N[/tex]

[tex]A_1 = 1.8 cm^2[/tex]

[tex]A_2 = 8 cm^2[/tex]

now we will have

[tex]P_2 = \frac{A_2}{A_1} P_1[/tex]

[tex]P_2 = \frac{8}{1.8}(7.6)[/tex]

[tex]P_2 = 33.8 N[/tex]

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