6-10 Results of traffic flow studies on a highway indicate that the flow-density relationship can be described by the expression: q = u,k k; If speed and density observations give the data shown below, develop an appro- priate expression for speed versus density for this highway, and determine the density at which the maximum volume will occur as well as the value of the maximum volume. Also plot speed versus density and volume versus speed for both the expres- sion developed and the data shown. Comment on the differences between the two sets of curves. Density (veh/mi) TT Speed (mi/h) 50 18 45 25 40 41 34 58 22 13 88 12 99

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter6: Fundamental Principles Of Traffic Flow
Section: Chapter Questions
Problem 13P
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Results of traffic flow studies on a highway indicate that the flow-density relationship
can be described by the expression:
6-10
q = u,k
k;
If speed and density observations give the data shown below, develop an appro-
priate expression for speed versus density for this highway, and determine the density
at which the maximum volume will occur as well as the value of the maximum
volume. Also plot speed versus density and volume versus speed for both the expres-
sion developed and the data shown. Comment on the differences between the two sets
of curves.
Speed (mi/h)
Density (veh/mi)
TT
50
18
45
25
40
41
34
58
22
71
13
88
12
99
Transcribed Image Text:Results of traffic flow studies on a highway indicate that the flow-density relationship can be described by the expression: 6-10 q = u,k k; If speed and density observations give the data shown below, develop an appro- priate expression for speed versus density for this highway, and determine the density at which the maximum volume will occur as well as the value of the maximum volume. Also plot speed versus density and volume versus speed for both the expres- sion developed and the data shown. Comment on the differences between the two sets of curves. Speed (mi/h) Density (veh/mi) TT 50 18 45 25 40 41 34 58 22 71 13 88 12 99
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