CME 302 SAMPLE Midterm_solution

CME 302 SAMPLE Midterm_solution - CME 302 Midterm, Fall...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Name___________________ This is an open-book, open-note exam. Try to be as specific and detailed as possible in your answers because every step counts! 1. Consider the following between speed, density and flow: u = 70 – k , 0 k 30 (1) Solve analytically for the remaining relationships relating flow, density and speed; (2) plot the fundamental diagrams of traffic flow based on the relationships. Be sure to label all axes and relationships, including the end points of each function; (3) what are the maximum flow, speed at maximum flow, and density at maximum flow? (20 pts) (1) q = uk, and u = 70-k, 0 k 30 (given) q = u(70-u) = 70u – u 2 , 40 u 70 q = (70-k)k = 70k – k 2 , 0 k 30 (2) Speed versus density 0 10 20 30 40 50 60 70 80 0 5 10 15 20 25 30 density speed Speed versus flow 0 10 20 30 40 50 60 70 80 0 200 400 600 800 1000 1200 1400 flow Flow versus density 0 200 400 600 800 1000 1200 1400 0 5 10 15 20 25 30 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 4

CME 302 SAMPLE Midterm_solution - CME 302 Midterm, Fall...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online