You have been given a project where you must attach a particular reducing pipe fitting int...

You have been given a project where you must attach a particular reducing pipe fitting into a Freon-12 delivery system. Freon-12 is a potentially hazardous material so you must be certain that the reducing pipe fitting is attached properly and will withstand the force due to the reduction in pipe diameter. The direction of the flow and the inlet and outlet positions are labeled in the figure below. The inlet has a diameter of 1 ft, and a pressure of 1000 lbf/ft2. The outlet port has a diameter of 0.2 ft and a pressure of 200 lbf/ft2. The system must maintain a constant flow rate of 4.5 ft3/s and constant temperature of 80°F. The weight of the Freon in the fitting is 6 lbf. In your analysis you may assume that the system is at steady state and that the fluid is incompressible. Please calculate the forces in all directions necessary to hold the fitting stationary.