A reducing elbow in a horizontal pipe is used to deflect water flow by an angle $=125$ from the flow direction while accelerating it$.$

The elbow discharges water into the atmosphere. The cross$-$sectional area of the elbow is $150c{m}^2$ at the inlet and $25c{m}^2$ at the exit.

The elevation difference between the centers of the exit and the inlet is $40cm.$ The mass of the elbow and the water in it is $54kg.$

Determine the anchoring force needed to hold the elbow in place. Take the momentum$-$flux correction factor to be $1\mathrm{.}03$ at both the

inlet and the outlet. The density of water is $1000k\frac{g}{m^3},$ and the flow rate of water is $30k\frac{g}{s}.$

The anchoring force needed to hold the elbow in place is

kN$.$