Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
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Chapter 6, Problem 5P
To determine
The occupancy, density, and flow rate.
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Data from a 6ft by 6ft inductive loop detector collected during a 60 second interval indicates that the mean speed of traffic is 50mph among the 32 vehicles counted. Assume an average vehicle length of 19ft. Calculate
a. The density,
b. The occupancy, and
C. The flow rate during this interval.
Assume vehicle arrivals are random. On average, six vehicles arrive in one minute. Calculate theprobability of observing less than three vehicles over three minutes. Calculate the probability ofobserving a headway of less than eight seconds.
A flow characteristic that is related to the density and obtained from speed data is occupancy. Data obtained from a 6-ft by 6-ft inductive loop detector is used to determine the traffic density. With an occupancy of 9.375%, determine the density, in vehicles per mile, for a mean vehicle length of 27 feet.
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 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_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_forwardAssume you are an observer standing at a point on a three lane race track. All vehicles in lane 1 are traveling at 50 mi/h, all vehicles in lane 2 are traveling at 65 mi/h, and all vehicles in lane 3 are traveling at 70 mi/h. There is a constant spacing of 0.25 mile. If you collect spot speed data for all vehicles that pass your observation point in one hour, what will the time-mean speed be for the traffic stream?arrow_forward
- At an impaired driver checkpoint, the time required to conduct the impairment test varies (according to an exponential distribution) 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 in minutes/vehicle. Answer in whole number.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_forwardData obtained from aerial photography showed nine vehicles on a 720 ft-long section of road. Traffic data collected at the same time indicated an average time headway of 4.2 sec. Determine the following. (a) the density on the highway (in veh/mi) veh/mi (b) the flow on the road (in veh/h) veh/h (c) the space mean speed (in mi/h) mi/harrow_forward
- 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_forwardFrom the following data of a freeway surveillance, there are 4 vehicles counted for a length of 200 m and the following distances each had travelled when observed on the photographs taken every 3 seconds apart. Compute the following:i. Density of flow in vehicles per km (vpk). ii. Space mean speed in kph. iii. Flow rate, in vehicles per hour. SHOW COMPLETE SOLUTION. NEED ASAP. THNAK YOUarrow_forwardData obtained from aerial photography showed six vehicles on a 200 metre long section of road. Traffic data collected at the same time indicated an average time headway of 4 sec. Determine (a) the density on the highway, (b) the flow on the road, and (c) the space mean speed.arrow_forward
- Traffic data are collected in 60-second intervals at a specific highway location as shown in the Table. Assuming the traffic arrivals are Poisson distributed and continue at the same rate as that observed in the 15 time periods shown, what is the probability that six or more vehicles will arrive in each of the next three 60-second time intervals (12:15 P.M. to 12:16 P.M., 12:16 P.M. to 12:17 P.M., and 12:17 P.M. to 12:18 P.M.)?arrow_forwardTo determine the ADT on the road, the data was collected as shown below on a Tuesday during the following. Consider If the traffic is expected to be 180% from the current traffic up to May 2030, Table 1: Traffic volume at specific time 7:00–8:00 a.m. 8:00 –9:00 a.m 9:00–10:00a.m 10:00–11:00 .m 11:00 –12 noon 150 120 130 50 20arrow_forwardVehicles arrive at an intersection at a rate of 450 veh/h according to a Poisson distribution. What is the probability that 3 or more vehicles will arrive in two successive 30-second interval?arrow_forward
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