A piston of small cross-sectional area a is used in a hydraulic press to exert a small force f on the enclosed liquid. A connecting pipe lea

Question

A piston of small cross-sectional area a is used in a hydraulic press to exert a small force f on the enclosed liquid. A connecting pipe leads to a larger piston of cross sectional area A. a) What force F will the larger piston sustain

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Sigridomena 2 months 2021-08-22T11:59:27+00:00 1 Answers 1 views 0

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    2021-08-22T12:00:27+00:00

    Answer:

    force on larger piston = \frac{fA}{a}

    Explanation:

    we label the pistons as piston A and piston B

    small piston A:

    area = a

    force = f

    large piston B:

    area = A

    force  = ?

    Pascal’s law of pressure state that the pressure delivered to a liquid is transmitted undiminished to every portion of the fluid.

    we know that pressure = force ÷ area

    pressure of piston A = \frac{f}{a}

    pressure of piston B = \frac{(force on piston B)}{A}

    obeying Pascal’s law, the system pressures must be equal. Therefore

    \frac{f}{a} = \frac{(force on piston B)}{A}

    force on large piston (B) = F = \frac{fA}{a}

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