A freeway traffic stream was observed to have a density of 22.0 veh/mi/ln when the mean speed was 55.0 mi/h. On another occasion at the same location, the jam density was found to be 132 veh/mi/ln. Assume Greenshields' model of traffic flow applies. The flow rate (in veh/h/ln) at the time when the mean speed was 55.0 mi/h is: 990 1210 1540 2178 None of the above
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- A freeway traffic stream was observed to have a density of 22.0 veh/mi/ln when the mean speed was 55.0 mi/h. On another occasion at the same location, the jam density was found to be 132 veh/mi/ln. Assume Greenshields' model of traffic flow applies. The optimum speed (in mi/h) is: a) 22.0 b) 33.0 c) 55.0 d) 66.0 e) None of he aboveA local arterial has an average flow of 1500 vph. At 8:20 AM, a school bus stopped at a local stop for 3 minutes, forcing all vehicles to stop behind it, with an average spacing of 8.0 meters. Afterwards, the bus made a right turn and left the road, allowing the traffic to be released at capacity conditions (qm = 1800 vph). Assuming that the traffic on the road follows Greenshield's model, answer the following questions: a) What is the maximum number of vehicles that will be impacted by the bus stoppage? b) At what time the queue that resulted from the stopping bus will be fully dissipated? c) What is the furthest point upstream of the stop that the queue will reach? d) Draw the shock wave diagram showing shock wave speeds, critical times, and distances.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.
- Traffic on a three-lane (in each direction) freeway observes the following Greenshields flow relationship: V = 60D(1-D/360) where V is the traffic volume on vehicle per hour, and D is the traffic density in vehicles per mile. At 10:00 am, an accident occurs at point A (in the following Figure). The vehicles involved immediately pull off onto the shoulder of the roadway, but traffic passing the incident slows to 10 mph as drivers survey the damage on the side of the road (sometimes called "spectator slowing"). Lucy enters the freeway via the ramp at point B, also at 10:00 am. Upon entering the freeway, she notes that traffic on the freeway is moving along at about 40 mph. Scene at 10:00 am B Lucy 4 Miles A. How fast (i.e., at what speed) will back up from the "spectator slowing" progress upstream of the accident site? number only in units of miles per hour and rounded to the nearest whole number, i.e. XX.) B. When (i.e., at what time) will Lucy first hit slowing traffic due to the…9. A segment of a highway was designed for a free flow speed of 90 mph. At the time of observation along the segment, it was recorded that same segment was at its maximum flow. What is the average speed of vehicles at this instant? a) 60 kph b) 45 kph c) 55kph d) 75kph 10. In Problem 9, what is the density of vehicles at maximum flow? a) 1/3 jam density b) 1/4 jam density c) 1/2 jam density d) none of these2. Data obtained from aerial photography showed six vehicles on a 600 ft – 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. Ans. k = 52.8 veh/mi, q = 900 veh/h, SMS = 17.0 mi/h
- Studies have shown that the traffic flow on a two-lane road adjacent to a school can be described by the Greenshields model. A length of 0.5 mi adjacent to a school is described as a school zone (see Figure 6.19) and operates for a period of 30 min just before the start of school and just after the close of school. The posted speed limit for the school zone during its operation is 20 mi/h. Data collected at the site when the school zone is not in operation show that the jam density and mean free speed for each lane are 118 veh/mi and 63 mi/h. If the demand flow on the highway at the times of operation of the school zone is 95% of the capacity of the highway, determine: 6-13 (a) The speeds of the shock waves created by the operation of the school zone (b) The number of vehicles affected by the school zone operation (c) The time the queue takes for it to dissipate after the operation of the school zoneAn accident occurs on a one-lane highway and blocks off all lanes of traffic. This freeway has a jam density of 130 veh/mi. Before the accident occurred (and upstream of the queue that forms), traffic was (is) traveling at an average speed of 45 mi/h and density of 30 veh/mi. Assume that the following conditions are present: ● ● Before the queue: Uupstream = 45 mi/h, kupstream = 30 veh/mi After the queue: Udownstream = 60 mi/h, kdownstream = 0 veh/mi Jam Density: kj = 130 veh/mi How long is the queue after 25 minutes?1) 1) A section of highway has the following flow-density relationship: q-50k-0.156k² What is the capacity (maximum flow) of the highway section, the space mean speed at capacity, and the density when the traffic flow on the highway is at one-quarter of its capacity? 2) An observer has determined that the time headways between successive vehicles on a section of highway are exponentially distributed (arrival of vehicle is Poisson distribution) and that 60% of the headways between vehicles are 13 seconds or greater. If the observer decides to count traffic in 30-second time intervals, estimate the probability of the observer counting exactly four vehicles in an interval.
- 4. When the accident rate (instead of accident number) is used to identify hazardous location, there is bias towards selecting low-flow locations with few accidents. A. True B. False 5. If all cars on one lane move at 25 mph and all cars on the second lane move at 30 mph, the time mean speed and space mean speed calculated for the 2-lane highway will be the same: Α. True B. False 6. Free-flow speed is the speed at maximum vehicle flow rate for the Greenshield's speed- density relationship: Α. True B. FalseQuestion - In a one-lane one-way homogeneous traffic stream, the observed average headway is 3.0s. Find the flow (expressed in vehicles/hr) in this traffic stream.Data 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/h