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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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Question
Chapter 6, Problem 5P
To determine
The occupancy, density, and flow rate.
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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
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?
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?
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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- 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_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_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
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