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MindTap Engineering for Garber/Hoel's Traffic and Highway Engineering, 5th Edition, [Instant Access], 1 term (6 months)
5th Edition
ISBN: 9781305577398
Author: Nicholas J. Garber; Lester A. Hoel
Publisher: Cengage Learning US
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Chapter 6, Problem 13P
To determine
The density of maximum volume, value of the maximum volume, plot of speed versus density and volume versus speed. And also, comment on the differences between the two set of curves.
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Results of traffic flow studies on a highway indicate that the flow-density relationship can be described by the expression.
q = uk -
k;
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
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72
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98
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
veh/mi
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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
Results of traffic flow studies on a highway indicate that the flow-density relationship can be described by the expression.
Uf2
q= = Ufk -
k₁
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)
us
57
54
45
39
27
20
17
16
26
42
55
73
87
98
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
veh/mi
veh/h
Chapter 6 Solutions
MindTap Engineering for Garber/Hoel's Traffic and Highway Engineering, 5th Edition, [Instant Access], 1 term (6 months)
Ch. 6 - Prob. 1PCh. 6 - Prob. 2PCh. 6 - Prob. 3PCh. 6 - Prob. 4PCh. 6 - Prob. 5PCh. 6 - Prob. 6PCh. 6 - Prob. 7PCh. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - Prob. 10P
Ch. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - Prob. 13PCh. 6 - Prob. 14PCh. 6 - Prob. 15PCh. 6 - Prob. 16PCh. 6 - Prob. 17PCh. 6 - Prob. 18PCh. 6 - Prob. 19PCh. 6 - Prob. 20PCh. 6 - Prob. 21PCh. 6 - Prob. 22PCh. 6 - Prob. 23PCh. 6 - Prob. 24PCh. 6 - Prob. 25PCh. 6 - The arrival times of vehicles at the ticket gate...Ch. 6 - Prob. 27P
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- Results of traffic flow studies on a highway indicate that the flow-density relationship can be described by the expression. ufk² k; q=u₁k- 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) 66.075 56 54 45 40 28 21 17 19 24 44 55 72 89 100 X 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 132.15 X Your response differs from the correct answer by more than 100%. veh/mi 48.403 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. veh/harrow_forwardResults 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/miarrow_forwardI just need help finding U_s and plotting speed versus density and volume versus speed, I will rate!arrow_forward
- Given a freeway flow study at a certain highway. The speed- density relationship is described in the givenequation or relationship: V s = 58- 0.40k Determine the following:a. Free-flow speed and jam densityb. Derive the equation describing flow and speed.c. Derive the equation describing flow and density.d. Determine the capacity of highwayarrow_forwardResults of traffic flow studies on a highway indicate that the flow-density relationship can be described by the expression. q=uk- Uff2 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 16 53 28 45 40 40 59 28 69 21 89 17 98 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 veh/mi veh/harrow_forwardAssuming that the expression: u = ue k, %3D can be used to describe the speed-density relationship of a highway, determine the capacity of the highway from the data below using regression analysis. k (veh/mi) u, (mi/h) 43 38.4 33.8 50 53.2 42.3 8 31 Under what flow conditions is the above model valid?arrow_forward
- Having trouble please help!arrow_forwardPlease answer, asap. thank you...arrow_forward1. Assume you are observing traffic in a single lane of a highway at a specific location. You measure the average headway and average spacing of passing vehicles as 3 seconds and 150ft, respectively. What is the average speed of the traffic stream? Note: you can use two methods to conduct the calculation. 2. Assume the speed and density at a freeway location follows a linear relationship. You observe traffic flow rate of 2250 vehicles/hour at 45 mph and 3000 vehicles/hour at 30 mph. What are the jam density, free flow speed (max speed), and capacity of this freeway location? How about the density and speed (i.e., the critical density and the critical speed) at the capacity?arrow_forward
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