Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
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.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
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
27
72
21
86
18
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
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
Traffic and Highway Engineering
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
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Similar questions
- 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
- Given a freeway flow study at a certain highway. The speed- density relationship is described in thegiven equation or relationship:V s = 60- 0.48kDetermine 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_forward4. The relation of the density (d) along a roadway to vehicle speed (s: km/h) is given as d = 50- s/2 Determine the flow (q)-speed (s) and flow (q)-density (d) relationships and draw the variations of density-speed, flow-speed and flow-density on. Show the maximum and minimum points on these graphsarrow_forwardOn a segment of A1 motorway in Casablanca, Morocco, traffic flow data was collected. The measured maximum flow was 1750veh/h for one lane when the averge spacing was 26.3 m/veh. We are assuming that speed and density are linearly related. Obtain the critical density and speed values to show them on the speed-density, density-flow and speed-flow equations. Please also obtain the speed and density values when the flow is 850 veh/h during rush hourarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Traffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage Learning
Traffic and Highway Engineering
Civil Engineering
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Cengage Learning