Piston 1 in the figure has a diameter of 1.87 cm.
Piston 2 has a diameter of 9.46 cm. In the absence of friction, determine the force F, necessary to support an object with a mass of 991 kg placed on piston 2. (Neglect the height difference between the bottom of the two pistons, and assume that the pistons are massless).

Piston 1 in the figure has a diameter of 187 cm Piston 2 has a diameter of 946 cm In the absence of friction determine the force F necessary to support an objec class=

Respuesta :

The force F, necessary to support an object with a mass of 991 kg placed on piston 2 is 373.8 N.

What is the force required to support the weight on piston 2?

The  force, F required to support the weight on piston 2 is calculated as follows:

  • F = F₂ * A₁/A₂

f = 991 * 9.81 = 9721.71 N

A₂ = (9.46/2)² = 22.373

A₁ =  (1.87/2)² = 0.874

F = 9721.71 * 0.874/22.373

F = 373.8 N

Inc conclusion, a smaller force is applied to lift the larger force at Piston 2.

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