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 4P
To determine
Thespace mean speed and to compare the obtained answer with the previous problem for space mean speed.
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7) In studying of traffic flow at a highway toll booth over a course of 60 minutes, it is determined that
the arrival and departure rates are deterministic, but not uniform. The arrival rate is found to vary
according to the function A(t) = 1.8+0.25t - 0.00312. The departure rate function is u(t) = 1.4 +0
.1lt. In both of these functions, t is in minutes after the beginning of the observation and (t) and
„u(t) are in vehicles per minute. At what time does the maximum queue length occur?
a) 49.4 min, b) 2.7 min ,c) 19.4 min, d) 60.0 min
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
(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 Street
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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- 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_forwardQ,barrow_forwardMatch 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_forward
- Situation 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_forwardProblem 2: The following data are taken from 5 vehicles observed from photographs taken 3 seconds apart. Compute the space mean speed, in kph. Vehicles Distance( m) 1 38.4 2. 35.4 3 32.8 4 36.6 37.5arrow_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
- The 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_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_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_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_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) 84 16.2 24.7 69 33.3 54 39.7 40 52.0 19 55.1 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_forwardEngineering /Civil Engineering /Transportation Engineeringarrow_forward
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