Traffic And Highway Engineering
5th Edition
ISBN: 9781133605157
Author: Garber, Nicholas J., Hoel, Lester A.
Publisher: Cengage Learning,
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Question
Chapter 6, Problem 5P
To determine
The occupancy, density, and flow rate.
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A 12 ft long loop detector has observed six vehicles that have crossed the device in a 148 second period, for the following durations: 0.44; 0.48; 0.5; 0.41; 0.49; and 0.55. The six vehicles are 18, 21, 20, 23, 17 and 19 ft respectively.
a. How long is the total time for the detector to be occupied?
b. What is the % lane occupancy?
c. How many vehicles per mile density value, k?
d. How many miles per hour is the rated speed, v?
e. How many vehicles per hour current value, q?
A 12 ft long loop detector has observed six vehicles that have crossed the device in a 148 second period, for the following durations: 0.44; 0.48; 0.5; 0.41; 0.49; and 0.55. The six vehicles are 18, 21, 20, 23, 17 and 19 ft respectively.
Calculate:
b. What is the % lane occupancy?
1. A study of speed-flow-density relationships at a particular site has resulted in the following calibrated equation and
graph 1:-
(a) Assuming a linear relationship, derive the equations depicting the relationship between flow and density and
speed and flow, for this site.
(b) How long will it take for the last vehicle queued during the red phase to clear once the light turns green?
Speed km/h
80.0
70.0
60.0
50.0
40.0
30.0
20.0
10.0
0.0
0
20
ū = 71.2 (1-122)
Speed vs Density Curve
40
80
60
Density veh/km
GRAPH 1
100
120
140
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
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- A construction zone on a highway has a posted speed of 40 kmph. The speeds of vehicles passing through this construction zone are normally distrbuted with a mean of 45 kmph and a standard deviation of 4 kmph. a.) What is the probability that a vehicle passing through the construction zone exceeds the posted limit? b.) What is the probability that a vehicle passing through the construction zone is travelling at speeds between 38 and 49 kmph? c,) For the next 30,000 vehicles passing through the construction zone, how many will be passing through the zone with speed less then 50 kmph?arrow_forwardThis is a three-part question. Data obtained from aerial photography showed eight vehicles on an 800 ft-long section of road. Traffic data collected at the same time indicated an average time headway of 3.7 sec. Part A. Determine the density on the highway in vehicles per mile. Part B. Determine the flow on the road in vehicles per hour. Part C. Determine the space mean speed in mph.arrow_forwardPlease solve this question. Subject: Transportation engineeringarrow_forward
- Complete answerarrow_forwardQ3. The below Table shows the time and distance for 10 vehicles recorded during a traffic survey. Choose the correct answer of the following (Four only): 1. The Average Spot Speed of the sample in the Table equals: a. (68.5) Km/hr c. (19.21) Km/hr e. (18.9) Km/hr (20 Marks Time (sec) 5.0 Distance (m) b. (190.21) Km/hr d. (67.9) Km/hr f. None of them Distance/time (m/sec) 20.00 100 5.6 100 17.86 5.6 100 17.86 4.8 100 20.83 2. The Time Mean Speed (TMS) of the sample in the Table equals: a. 68.5 (Km/hr) c. 19.21 (Km/hr) e. 18.9 (Km/hr) 6.1 100 16.39 5.3 100 18.87 b. 190.21 (Km/hr) d. 67.9 (Km/hr)- f. None of them 5.9 100 16.95 5.2 100 19.23 4.5 100 22.22 5.0 100 20.00 3. The Space Mean Speed (SMS) of the sample in the Table equals: a. 68.5 (Km/hr) d. 67.9 (Km/hr) Total 53 1000 190.21 b. 190.21 (Km/hr) e. 18.9 (Km/hr) c. 19.21 (Km/hr) f. None of them 4. The Average travel Speed of the sample in the Table equals: a. 68.5 (Km/hr) d. 67.9 (Km/hr) b. 190.21 (Km/hr) e. 18.9 (Km/hr) c. 19.21…arrow_forwardAt an impaired driver checkpoint, the time required to conduct the impairment test varies (exponentially distributed) depending on the compliance of the driver, but takes 60 seconds on average. If an average of 30 vehicles per hour arrive (according to a Poisson distribution) at the checkpoint, determine the average time spent in the system.arrow_forward
- Problem 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_forwardq.complete. Answer.arrow_forward1. Two sets of students are collecting traffic data at two sections, xx and yy, of a highway 1400 ft apart. Observations at xx show that five vehicles passed that section at intervals of 3, 4, 3, and 5 seconds, respectively. If the speeds of the vehicles were found through radar gun measurements to be 50, 45, 40, 35, and 30 mph respectively, a. Draw a schematic showing the locations of the vehicles 20 seconds after the first vehicle passed xx. b. Determine the time mean speed c. Determine the space mean speed d. Determine the density on the highway e. Determine the flowarrow_forward
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