$6.$ Fan Problem A horizontal fan $($such as that shown in example $5\mathrm{.}24)$ pulls in stagnant air $($ie$.$ basically stationary air$)$ at atmospheric pressure; the air approaches the fan outlet with speed $($ie$.)$ and with static pressure $0\mathrm{.}3$ psi. The air flowing through the fan can be assumed to have a constant density of $.$ The air losses due to friction are $0\mathrm{.}1$ psi $($or slug of air passing from the fan inlet to the outlet$).$ a$)$ Determine the shaft work in $-$lb$/$slug$.-$lb$/$s$/$sg$)$ b$)$ If the fan outlet area is $,$ determine the rate of work on the air. or $9\mathrm{.}56$ hp; fanl$)$