Water flows in the pipe schematised below with a mass rate of 30 kg/s. The inlet area of the pipe is A = 150 cm, while the exit area is A = 25 cm and it is inclined with an angle 8 = 45. The pressure at the pipe outlet is atmospheric, the weight of the water in the pipe can be neglected and the viscous losses are negligible. a. Evaluate the velocity values of the fluid at the iniet and at the outlet of the pipe. Clearly explain each calculation step. b. By calling x the horizontal component of the flow direction and y the vertical component of the flow, write down the simplified expressions of the momentum balance along x and y. Clearly explain each calculation step. d. Evaluate the magnitude of the force required to hold the elbow in place. c. Evaluate the x-component of the force needed to hold the elbow in place. Clearly explain each calculation step. Water 30.0 kg/s 150 cm Page 11 of 12 25 cm [5 marks] 45 40 cm [5 marks] [10 marks] [5 marks] TURN OVER