Piston Force Calculations

• Because the piston is in equilibrium, this force is equal to the pressure force on the piston:
  P₁A₁ =823N
  A₁ = Πd² / 4 = Π(0.191)² / 4 = 0.0286m²
  P₁ = 823 / 0.0286 = 2.87 * 10^4N/m²
• Now we know the pressure in the liquid. Therefore, we can solve for the force on the mechanism and the top platform. Since surfaces 1 and 2 are at the same elevation.
• Thus,
  F₂ = P₁A₂
  F₂ = 2.87 * 10^4N/m² * Π/4(1.8)₂ = 72.99KN