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 ______.

विकल्प

• `"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`

Answer 1

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`