Traffic and Highway Engineering - With Mindtap
5th Edition
ISBN: 9781305360990
Author: Garber
Publisher: CENGAGE L
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Chapter 6, Problem 4P
To determine
Thespace mean speed and to compare the obtained answer with the previous problem for space mean speed.
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The traffic shows data on speeds and corresponding densities on a section of a rural collector road. If it can
assumed that the traffic flow characteristics can be described by the Greenberg's model, develop an
appropriate relationship between the speed and flow and their modelled plotted points to be shown in the
Q-u diagram. How strong the correlation of the two are? Also determine the capacity of this section of the
road.
Traffic Data
Speed (kph)
60
Density (Veh/km)
20
46
32
40.8
38
39.3
40
35.7
45
32.6
50
30.8
53
28.4
57
24.7
65
18.5
80
For a spot speed study in which 100 observations were obtained, the mean speed was 52km/h and the standard deviation was 4.6 km/h.
1.What is the margin of error on the estimate of true mean speed obtained from this sample?
2.What is a reasonable estimate of the 85th percentile speed based on the information available?
Use N = ( )2 in your determinations. In addition read up on 85th percentile speed.
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.
Three seconds after automobile B passes through the intersection shown, automobile A passes through the same
intersection. Given, the speed of automobile A is VA = 55.00 mi/h and automobile B is vg= 34.00 mi/h, respectively. Also,
know that the speeds are constant for the automobiles during the encounter.
N
70°
S
+
VA
vB
Determine the distance between the two automobiles 2 s after A has passed through the intersection.
The distance between the two automobiles 2 s after A has passed through the intersection is
Chapter 6 Solutions
Traffic and Highway Engineering - With Mindtap
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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- NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Three seconds after automobile B passes through the intersection shown, automobile A passes through the same intersection. Given, the speed of automobile A is VA = 95.00 mi/h and automobile B is vg = 50.00 mi/h, respectively. Also, know that the speeds are constant for the automobiles during the encounter. N 70° S + VA vB Determine the distance between the two automobiles 2 s after A has passed through the intersection. The distance between the two automobiles 2 s after A has passed through the intersection is 356.5 ft.arrow_forward(b) Consider a stop-controlled intersection between a major and a minor street shown in the figure below. Traffic on the major street is arriving in a random manner (Poisson distributed vehicle arrivals) and passes through the intersection unimpeded, without having to stop. Traffic on the minor street must wait at the stop sign and can enter the major street only when there is a minimum headway tm = 2.5 seconds (gap) in the major street. Suppose that the flow rate on the major street is Q= 200 vehicles per hour, and only one vehicle can enter the major street during each acceptable gap. Estimate the maximum number of vehicles per hour that can be accepted to the major street (which is also the capacity) of the minor street approach. Major Street Minor Streetarrow_forwardThe average speed of vehicles on an expressway is being studied. a. Suppose observation on 50 vehicles yielded a sample mean of 65 km/hr. Assume that the standard deviation of vehicle speed is known to be 6 km/hr. Determine the two-sided 99% confidence intervals of the mean speed. b. In part (a), how many additional vehicles' speed should be observed such that the mean speed can be estimated to within + 1 km/hr with 99% confidence? C. Suppose John and Mary are assigned to collect data on the speed of vehicles on this expressway. After each person has separately observed 10 vehicles, what is the probability that John's sample mean will exceed Mary's sample mean by 2 km/hr? d. Repeat part (c) if each person has separately observed 100 vehicles instead?arrow_forward
- Match the following to True/False. A. GPS devices are an example of mobile traffic sensors For the time-space diagram of a single-lane one-way road, the vehicle trajectories do not intersect with each other unless there is a crash. Pneumatic tubes detect vehicle presence by sending an electric signal to a roadside device. B. Space mean speed may be greater than time mean speed in certain situations. A. True B. Falsearrow_forwardSituation 1: The travel times for five vehicles travelling a 200-m segment of a highway were observed as follows: Vehicle Time (seconds) A 12.07 В 10.84 11.97 9.75 D E 1. Determine the density of traffic in veh/km 2. Determine the team mean speed in kph 3. Determine space mean speed in kph 12.11arrow_forwardQ4 / The data from moving observer methods as shown in the table. Column 1 gives the sample number, column 2 gives the number of vehicles moving against the stream, column 3 gives the number of vehicles that had overtaken the test vehicle, and last column gives the number of vehicles overtaken by the test vehicle. Find the flowrate, density and mean speed. Also, plot the fundamental diagrams of traffic flow. 2 3 4 No. Sample 1 107 10 74 113 25 41 3 30 15 4 79 18 9.arrow_forward
- Two cars P and Q are moving in a racing track continuously for two hour. Assume that no other vehicles are using the track during this time. The expressions relating the distance travelled d (in km) and time t (in hour) for both the vehicles are given as P: d = 60t Q: d = 60t² Within the first one hour, the maximum space headway would bearrow_forwardProblem 6 Traffic on a single-lane urban street observes the following flow-density relationship: q=30k(1-k/180), where q is the traffic flow in vehicles per hour (VPH), and k is the traffic density in vehicles per mile (VPM). Answer the following questions: a. | Calculate the free flow speed, capacity, and jam density of the traffic flow. b. What is the minimum spacing and the minimum (time) headway of the traffic flow? What is the traffic volume when the travel speed is 20 MPH? C.arrow_forward3 During a traffic speed survey, the following observations were recorded when a vehicle passes a 50 m long road section XY. Vehicle Time of Passing X (seconds) Time of Passing Y (seconds) 1 4.5 5.8 6.1 6.3 7.5 23 4 5 2.0 3.5 4.0 4.5 5.5 Determine the following: (i) Average time mean speed (ii) Average space mean speed using the above data (iii) Also verify the results obtained in (ii) above using relationship between the time mean speed and space mean speed.arrow_forward
- 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 99arrow_forwardThe data shown below were obtained by time-lapse photography on a highway. Use regression analysis to fit these data to the Greenshields model and determine the following. Speed (mi/h) Density (veh/mi) 16.7 84 25.7 69 35.2 54 43.1 40 54.4 19 56.1 14 (a) the mean free speed (in mi/h) mi/h (b) the jam density (in veh/mi) veh/mi (c) the capacity (in veh/h) veh/h (d) the speed at maximum flow (in mi/h) mi/harrow_forwardWe know that q=ku for traffic flow. If we measure speeds and densities at three points within a mile at the same time, which of the following is true? a. Average u will be the same at all three points b. Average k will be the same at all three points c. Average q (calculated) will be the same at all three points d. None of the above 6. 7. Headway is defined as the time between vehicles passing a fixed point on the road, measured from: a. Front bumper of first car to back bumper of second car b. Front bumper of first car to front bumper of second car c. Back bumper of first car to front bumper of second car d. None of the abovearrow_forward
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