The force F, necessary to support an object with a mass of 991 kg placed on piston 2 is 379.5 N.
Force necessary to support the object
Apply Pascal principle to calculated the force needed to support the mass as shown below;
F₁/A₁ = F₂/A₂
F₁/d₁² = F₂/d₂²
F₁ = F₂d₁²/d₂²
where;
- F₂ is the force on piston 2, determined from, F = mg
- d₂ is the diameter of piston 2, given as 9.46 cm
- d₁ is diameter of piston 1, given as 1.87 cm
- F₁ is force on piston 1 = ?
Substitute the given parameters and solve for the force needed to support the mass given.
F₁ = (991 x 9.8 x 0.0187²)/(0.0946)²
F₁ = 379.5 N
Thus, the force F, necessary to support an object with a mass of 991 kg placed on piston 2 is 379.5 N.
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