A hydraulic jack has an input cylinder diameter of 3.2 in and an output cylinder diameter of 9.2 in. an input force of 485 lb is observed to produce an output force of 2800 lb. Calculate the ideal mechanical advantage of this jack.

Respuesta :

Given:

input force is

[tex]485\text{ lb}[/tex]

output force is

[tex]2800\text{ lb}[/tex]

Required: calculate mechanical advantage

Explanation:

to calculate the mechanical advantage of this jack

we will use formula that is given by

[tex]Mechanical\text{ force advantage=}\frac{load(output\text{ force\rparen}}{effort(input\text{ force\rparen}}[/tex]

plugging all the values in the above relation we get:

[tex]\begin{gathered} mechanical\text{ force advantage=}\frac{2800\text{ lb}}{485\text{ lb}} \\ =5.77 \end{gathered}[/tex]

Thus, the mechanical advantage of this jack is 5.77.