Results of traffic flow studies on a highway indicate that the flow-density relationship can be described by the expression. q=u&k - Us Ufx2 kj 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) 57 53 45 39 28 21 18 80 21 22 39 60 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 X 70 86 97
Results of traffic flow studies on a highway indicate that the flow-density relationship can be described by the expression. q=u&k - Us Ufx2 kj 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) 57 53 45 39 28 21 18 80 21 22 39 60 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 X 70 86 97
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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Question
![Results of traffic flow studies on a highway indicate that the flow-density relationship can be described by
the expression.
Us
q=uck -
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)
11
ufk²
kj
57
53
45
39
28
21
18
density at maximum
volume
21
22
39
60
70
86
97
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).
80
X
Your response differs from the correct answer by more than 10%. Double check
your calculations. veh/mi](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4298f87c-fe5e-497b-9611-908e886d14d5%2Fba2a9ac5-e01b-4d5b-ad00-e3eb121e90f0%2Fug4n39_processed.png&w=3840&q=75)
Transcribed Image Text:Results of traffic flow studies on a highway indicate that the flow-density relationship can be described by
the expression.
Us
q=uck -
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)
11
ufk²
kj
57
53
45
39
28
21
18
density at maximum
volume
21
22
39
60
70
86
97
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).
80
X
Your response differs from the correct answer by more than 10%. Double check
your calculations. veh/mi
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Step 1: Introducing Given Data
VIEWStep 2: Derive equation of speed vs density
VIEWStep 3: Using regression analysis
VIEWStep 4: Procedure of regression analysis
VIEWStep 5: Calculation of constant b & a
VIEWStep 6: Calculation of density (k) at which flow is max
VIEWStep 7: Calculation of max volume & space mean speed
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