$12\mathrm{.}5$ A$2)($Re$)$Solve Problem $2-61$ in the $[$IMP$]$ unit system. This shall be an entirely new stand$-$

alone solution. Convert all original $[$SI$]$ properties to $[$IMP$]$ at the start of your solution. In

addition to determining the piston diameter, take local gravity acceleration to be $31\mathrm{.}8$

$f\frac{t}{s^2},$ atmospheric pressure to be $14\mathrm{.}5$ psia, and include the following objectives:

a$)$ State the system $($cylinder$)$ pressure as both $($g$)$ and $($abs$)$ pressures.

b$)$ Assume that the system is reset in equilibrium where the $"F_1"$ piston face is exactly

$2\mathrm{.}0$ ft below the $"F_2"$ piston face. What is the true $/$ actual gauge pressure on the

$"F_1"$ piston face as well as the actual mass $(m_1)$ required to hold it in this position?

Take the hydraulic fluid to have a specific gravity of $0\mathrm{.}85.$

c$)$ If the $"F_2"$ piston in $($b$)$ above is lowered by $2\mathrm{.}0$ ft $,$ what would be the related

travel $($stroke$)$ length of the $"F_1"$ piston? Is this realistic?