Results of traffic flow studies on a highway indicate that the flow-density relationship can be described by the expression. = a-u,k ufk² If speed and density observations give the data shown below, develop an appropriate expression for speed versus density for this highway. (Use the following as necessary: k. Assume u is in mi/h and k is in veh/mi. Do not include units in your answer.) Speed (mi/h) Density (veh/mi) 56 19 54 26 45 42 39 56 27 72 21 18 86 98 Us 0.5139k+66.4352 × Determine the density (in veh/mi) at which the maximum volume will occur as well as the value of the maximum volume (in veh/h). density at maximum volume maximum volume 64.6383 2147.1277 veh/mi veh/h Also, plot speed versus density and volume versus speed for both the expression developed and the data shown. Comment on the differences between the two sets of curves. (Submit a file with a maximum size of 1 MB.)
Results of traffic flow studies on a highway indicate that the flow-density relationship can be described by the expression. = a-u,k ufk² If speed and density observations give the data shown below, develop an appropriate expression for speed versus density for this highway. (Use the following as necessary: k. Assume u is in mi/h and k is in veh/mi. Do not include units in your answer.) Speed (mi/h) Density (veh/mi) 56 19 54 26 45 42 39 56 27 72 21 18 86 98 Us 0.5139k+66.4352 × Determine the density (in veh/mi) at which the maximum volume will occur as well as the value of the maximum volume (in veh/h). density at maximum volume maximum volume 64.6383 2147.1277 veh/mi veh/h Also, plot speed versus density and volume versus speed for both the expression developed and the data shown. Comment on the differences between the two sets of curves. (Submit a file with a maximum size of 1 MB.)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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I just need help finding U_s and plotting speed versus density and volume versus speed, I will rate!
Transcribed Image Text:Results of traffic flow studies on a highway indicate that the flow-density relationship can be described by the expression.
=
a-u,k
ufk²
If speed and density observations give the data shown below, develop an appropriate expression for speed versus density for this highway. (Use the following as necessary: k. Assume u is in mi/h and k is in
veh/mi. Do not include units in your answer.)
Speed (mi/h)
Density (veh/mi)
56
19
54
26
45
42
39
56
27
72
21
18
86
98
Us
0.5139k+66.4352
×
Determine the density (in veh/mi) at which the maximum volume will occur as well as the value of the maximum volume (in veh/h).
density at maximum volume
maximum volume
64.6383
2147.1277
veh/mi
veh/h
Also, plot speed versus density and volume versus speed for both the expression developed and the data shown. Comment on the differences between the two sets of curves. (Submit a file with a maximum size
of 1 MB.)
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