1. Traffic flow data were collected on a segment of 1-84 highway . The study has revealed the following speed and density relationship : (u/50)+(k^2/32400)=1 a ) Determine the capacity of this highway . b ) When the flow is 3000 veh / h , compute the corresponding density and vehicle spacing of this traffic stream .
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1. Traffic flow data were collected on a segment of 1-84 highway . The study has revealed the following speed and density relationship :
(u/50)+(k^2/32400)=1
a ) Determine the capacity of this highway .
b ) When the flow is 3000 veh / h , compute the corresponding density and vehicle spacing of this traffic stream .
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- A study of freeway flow at a particular site has resulted in a speed-density relationship as follows: 0.008k+(u/57.5)-1=0 For this relationship, determine its capacity.The table below shows data on speeds and corresponding densities on a section of a rural collector road. If it can be assumed that the traffic flow characteristics can be described by the Greenberg model, develop an appropriate relationship between the flow and density. Also determine the capacity of this section of the road.The traffic demand for a six-lane urban arterial road (three lanes per direction) is given in the table below. The relationship between flow and density for this road follows GreenShiled's model, with a free flow speed of 105 km/h and a jam density of 92 veh/km/lane. Two of the three lanes of the EB direction were closed at 5:00 AM for maintenance. The two lanes were re-opened at 8:00 AM, allowing the traffic to be released at capacity conditions. a) What is the maximum length of the queue upstream of the bottleneck? b) At what time the queue upstream of the bottleneck will be fully dissipated? c) What is the furthest point upstream of the bottleneck that will be impacted by the lane closure? d) Draw the shock wave diagram showing shock wave speeds, critical times, and distances. Time 5:00 6:00 AM 6:00 7:00 AM 7:00 8:00 AM 8:00 9:00 AM 9:00 10:00 AM 10:00 11:00 AM Demand (vph) 2000 4000 6400 6000 3600 3000
- Note:hand written solution should be avoided.6-7 The table below shows data on speeds and corresponding densities on a section of a rural collector road. If it can be assumed that the traffic flow characteristics can be described by the Greenberg model, develop an appropriate relationship between the flow and density. Also determine the capacity of this section of the road. Speed (mi/h) Density (veh/mi) Speed (mi/h) Density (veh/mi) 60.0 20 32.6 50 46.0 32 30.8 53 40.8 38 28.4 57 65 80 39.3 40 24.7 35.7 45 18.5A section of highway has a speed–flow relationship of the form q = au2 + bu, where q is the traffic flow in veh/h, u is the space-mean speed of traffic in mi/h, and a and b are unknown parameters. It is known that at capacity (which is 3100 veh/h) the spacemean speed of traffic is 28 mi/h. Determine the speed when the flow is 1500 veh/h and the free-flow speed.
- 1. A study of freeway flow at a given site has yielded a relationship speed-density calibrated as follows: S = 57,5(1 - 0,008 D) For this relationship, specify: (a) free flow velocity, (b) congestion density, (c) velocity-flow relationship (d) flow density relationship, and (e) capacity. 2. Answer all the questions in Problem 1 for the calibrated density-velocity relationship the following: S = 61.2e^-0015D2. 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/hA traffic volume of 900 vehicles/hour is observed at an approach intersection. Determine the peak flow rate in one hour for the peak hour factor following: 1.00, 0.90, 0.80, 0.70. Create plots and comment on the results.
- 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.A data collection study found a linear speed - density relationship for a highway as follows u/65 +k/120 =1 1-Write down the speed - density ( given ) , flow - density and flow - speed models , and plot their relationships 2-raffic study has shown that the time headways between successive vehicles on this highway are exponentially distributed and that 30% of the headways between vehicles are 4 seconds or greater. Apply the traffic models derived in the question a), compute speeds and densities corresponding to this flow.23