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With a hydraulic press, a vehicle with a mass of 1,140 kg is lifted using a piston with an area of [tex]A_2 = 1.15 \, \text{m}^2[/tex]. On the other cylinder, a force of [tex]F_1 = 182 \, \text{N}[/tex] is applied. What is the value of the area [tex]A_1[/tex] of this cylinder?

Answer :

The value of the area A₁ of this cylinder of the hydraulic press is determined as 0.019 m².

What is the value of the area A1 of this cylinder?​

The value of the area A₁ of this cylinder is calculated by applying Paschal principle as follows;

P = F/A

F₁/A₁ = F₂/A₂

where;

  • F₁ is the force on the first end
  • F₂ is the force on the second end
  • A₁ is the area of the first end
  • A₂ is the area of the second end

A₁/F₁ = A₂/F₂

A₁ = (F₁ / F₂ ) A₂

The value of the area A₁ of this cylinder is calculated as follows;

A₁ = (182 / 1140 x 9.8 ) 1.15

A₁ = 0.019 m²

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