Traffic and Highway Engineering - With Mindtap
5th Edition
ISBN: 9781305360990
Author: Garber
Publisher: CENGAGE L
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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?
This 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.
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 - 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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- 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?arrow_forwardA 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_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
- At 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_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_forwardQuestion 7 Data obtained from aerial photograph showed eight vehicles on 200 m long section of road. Traffic data collected at the same time indicated an average time headway of 3 sec. Determine: a) the density on the road b) the flow on the road c) the speed What type of speed is this? Explain.arrow_forward
- 1. 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_forwardTwo platoons of cars are timed over a distance of 0.5km. Their flows are recorded. The first group is timed at 40 seconds, with the flow at 1350 vehicles per hour. The second group take 45 seconds, with a flow of 1800 vehicles per hour. Determine free flow speed , jam density and the maximum flow of the traffic stream.arrow_forwardQUESTION 7 A researcher was positioned at the side of a 2-lane rural highway. He recorded the volume of northbound traffic, aggregated into 15 minute intervals. The recorded volumes were 243, 276, 318 and 490 vehicles for the first, second, third, and fourth 15-minute intervals, respectively. Calculate the peak flow rate (v/h). Provide your answer to the nearest integer.arrow_forward
- 14.6 Car 15.2 Car 19.0 Truck 15.5 Car 14.3 Car 17.4 Truck 13.7 Car The vehicles were selected by sampling whatever vehicle was entering the section, choosing every 30 seconds. Estimate the time mean speed and the space mean speed, by vehicle type, and overallarrow_forwardA researcher was positioned at the side of a 2-lane rural highway. He recorded the volume of northbound traffic, aggregated into 15 minute intervals. The recorded volumes were 243, 276, 318 and 490 vehicles for the first, second, third, and fourth 15-minute intervals, respectively. Calculate the peak flow rate (v/h). Provide your answer to the nearest integer.arrow_forwardTwo sets of students are collecting traffic data at two sections, xx and yy, of a highway 1500 ft apart. Observations at xx show that five vehicles passed that section at intervals of 3, 4, 3, and 5 sec, respectively. If the speeds of the vehicles were 50, 45, 40, 35, and 30 mi/h, respectively, draw a schematic showing the locations of the vehicles 20 sec after the first vehicle passed section xx. Also determine (a) the time mean speed, (b) the space mean speed, and (c) the density on the highway.arrow_forward
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