Problem $2(30$ points$).$ Water flowing steadily at a rate of $0\mathrm{.}16\frac{m^3}{s}$ is deflected downward by an angled

elbow as shown in the figure below. The water is discharged to the atmosphere. For $D=30cm,d=10cm,$ and

$h=50cm,$ determine the force acting on the flanges of the elbow and the angle its line of action makes with the

horizontal. Take the weight of the elbow, including the water in it$,$ to be $550N.$ Ignore any irreversible losses,

including frictional losses. Take the kinetic energy ana momentum correction factors to be $1\mathrm{.}11$ and $1\mathrm{.}05,$

respectively.