(1) A hydraulic press is used to lift heavy objects. It consists of a U-tube, one end having a large cross-sectional area A1, the other havi

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(1) A hydraulic press is used to lift heavy objects. It consists of a U-tube, one end having a large cross-sectional area A1, the other having a small cross-sectional area A2. The tube is filled with an incompressible fluid and the load is placed on A1. The load is lifted a distance Δx 1 by applying a force to piston A2, moving it a distance Δx 2. (1-1) If the force applied is F2, what load can be lifted?

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Xavia 2 months 2021-07-20T04:19:04+00:00 1 Answers 5 views 0

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    2021-07-20T04:20:11+00:00

    Answer:

    The load that can be lifted is equal to the weight W = F2A1/A2

    Explanation:

    According to Pascal principle which states that the pressure applied to a liquid confined in a container will be transmitted equally to all other parts of the container.

    Since pressure = Force/Area

    The force F2 applied at one end of the piston will generate a pressure of F2/A2. This pressure generated will be transmitted to the other end of the piston of area A1 to lift the load through a distance.

    The piston where the load is will experience an upward force F1 which is equal to Pressure × Area.

    The pressure experienced by the load is applied by force F2.

    Force on the load = (Pressure exerted by Force F2) × Area at the larger end A1

    Force on the load = F2/A2 × A1

    Since the load experiences a weight W

    The weight will be equal to the force on the load which is to be lifted i.e W =Force on the load.

    W = F2A1/A2

    The load that can be lifted is equal to the weight W = F2A1/A2

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