Q$1)$ For a Drafting Room the ducting system of which is shown below, consider losses at fan inlet and outlet $0\mathrm{.}15$ in$.$w each, and the total pressure required at each air outlet is $0\mathrm{.}20$ in $w.$ Using the equal friction method, following the format of Table $8\mathrm{.}10($only this table is needed for your solution of parts $($i$)$ and $($ii$)$ below$)$:

$(40$ marks$)$

$($I$)$ Consider the longest path only, size all the sections $($along the main pipe$)$ and the ducts height must be $15$ in$.$ Show, for all cfms and pipe sizes on a piping layout $($see Fig $8\mathrm{.}31).$

$(15$ marks$)$

$($II$)$ Find the total pressure loss for fan sizing. It is crucial that you use $0\mathrm{.}15in.w$ everywhere as duct friction loss $\frac{H_f}{100}ft.$ Remember that only the longest path is to be considered here.

$(13$ marks$)$

$($III$)$ Show in detail how you determine $"$C$"$ and $H_f$ for the elbow only.

$($IV$)$ Select a suitable diffuser at G and supply ALL the necessary information.

$(3$ marks$)$

Notes:

$(4$ marks$)$

$($a$)$ Consider smooth transition at branch take$-$off and Tees

$($b$)$ TABULATE YOUR WORK in parts $($i$)$ and $($ii$)$ as shown in the textbook $($see Table $8\mathrm{.}10)$;

$(5$ marks$)$

ws are rectangular smooth radius without vanes and have $\frac{R}{W}=0\mathrm{.}5($see Table $8\mathrm{.}4$ E $)$