Problem $3$

$10-50.$ A gear train is shown in Figure P$10\mathrm{.}50.$ The gears have

the following properties: $N_2=18$ teeth; $N_3=72$ teeth

and $P_d=10$;$N_4=16$ teeth and $P_d=8$; and $N_5=48$

FIGURE P$10\mathrm{.}50$ Problems $50$ and $51.$

teeth. Determine the velocity of gear $5$ as gear $2$ drives

at $1200$ rpm clockwise. Also determine the center

distance between gears $2$ and $5.$