A reducing elbow in a horizontal pipe is used to deflect water flow by an angle u = 45? from the flow direction while accelerating it. The elbow discharges water into the atmosphere. The cross- sectional area of the elbow is 150 cm²at the inlet and 25 cm²at the exit. The elevation difference between the centers of the exit and the inlet is 40 cm. The mass of the elbow and the water in it is 50 kg. Determine the anchoring force needed to hold the elbow in place. Take the momentum-flux correction factor to be 1.03 at both the inlet and outlet.

25 cm2 45 150 cm2 40 cm Water 30.0 kg/s