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In hydraulic press, the diameters of piston in smaller cylinder and larger cylinder are 'd1' and 'd2' respectively. If 'F1' is the force applied on smaller piston, the force 'F2' on the larger piston -

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Question

In hydraulic press, the diameters of piston in smaller cylinder and larger cylinder are 'd1' and 'd2' respectively. If 'F1' is the force applied on smaller piston, the force 'F2' on the larger piston is ______.

Options

  • `"F"_2 = ("d"_2/"d"_1)^2 1/"F"_1`

  • `"F"_2 = ("d"_1/"d"_2)^2 "F"_1`

  • `"F"_2 = ("d"_1/"d"_2)^2 1/"F"_1`

  • `"F"_2 = ("d"_2/"d"_1)^2 "F"_1`

MCQ
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Solution

In hydraulic press, the diameters of piston in smaller cylinder and larger cylinder are 'd1' and 'd2' respectively. If 'F1' is the force applied on smaller piston, the force 'F2' on the larger piston is `underline("F"_2 = ("d"_2/"d"_1)^2 "F"_1)`.

Explanation:

`"F"_1/(pi"d"_1^2) = "F"_2/(pi"d"_2^2)`

`=> "F"_2 = "F"_1 ("d"_2/"d"_1)^2`

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