Question: Consider this traffic circle. This is the traffic volume, in units of cars per five minutes We can set up equations to model how the

Consider this traffic circle.

Consider this traffic circle.This is the traffic volume, in units

This is the traffic volume, in units of cars per five minutes

Consider this traffic circle.This is the traffic volume, in units

We can set up equations to model how the traffic flows.
(a) Adapt Kirchhoff's Current Law to this circumstance. Is it a reasonable modeling assumption?
(b) Label the three between-road arcs in the circle with a variable. Using the (adapted) Current Law, for each of the three in-out intersections state an equation describing the traffic flow at that node.
(c) Solve that system.
(d) Interpret your solution.
(e) Restate the Voltage Law for this circumstance. How reasonable is it?

North Avenue Main Street Pier Boulevard North Pier Main into 100 150 25 out of 75 50 50

Step by Step Solution

3.45 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a An adaptation is in any intersection the flow in equals the flow out It does seem reasonable in th... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

961-M-L-A-L-S (5151).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!