the reactor core using an electromagnetic pump. A point A, the pipe has a diameter of 3-in and the sodium measures 20-psi gauge pressure. The sodium moves through the pipe at A with a velocity given by u =Vc ( 1/5 where R is the radius of the pipe and r is the radial coordinate and Vc is 16.5m/s. It emerges at B through a 2-in diameter pipe. Then the fluid passes through the duct, where it is pumped by an electromagnetic force giving it a 30-ft head pump. Take N = 53.2 lb/ft and ignore the losses. a) Write out the expression for the flow through the system from A to B. (12 points) b) Write out the expression for calculating the force on the fluid. (8 points) c) Calculate the restraining force F on each B arm, needed to hold the pipe in place. (10 points) F E