Water flows through a $30^{\circ}$ pipe bend at a rate of $200 \mathrm{gpm}$. The diameter of the entrance to the bend is $2.5 \mathrm{in}$. and that of the exit is $3 \mathrm{in}$. The pressure in the pipe is $30 \mathrm{psig}$, and the pressure drop in the bend is negligible. What is the total force (magnitude and direction) exerted by the fluid on the pipe bend?