(Solved): #1 has the information. #2 is the question that needs to be answered. 1. Suppose that the diagram ...

#1 has the information. #2 is the question that needs to be answered.

1. Suppose that the diagram below [Dohse, UNCA] shows a nodal diagram for a new (counterclockwise) traffic circle connecting three roads in Santa Clarita. The six nodes represent the points on the circle where traffic enters and exits. • The given numbers show the number of cars expected to enter/exit per hour, on the average. (This is called the traffic density.) • The yi's (for i=1:6) are the unknowns, representing the traffic density (cars/hour) flowing on the various arcs of the circle; note that all traffic on the circle must flow in the counterclockwise direction. ?6 115 - 120 Y5 yi 2 ? 85 y 90 + Y; 110 1 2. Starting with the node on the upper right of the circle as node #1, label the other nodes (#2 ... #6) moving in the clockwise direction. Then write the corresponding “KCL" equations for each of the nodes, with the yi variables in order) on the left-hand side of the equation and the constants on the right-hand side. Node #1: Node #2: Node #3: Node #4: Node #5: Node #6: