Assume that the speed-density function of a section of highway follows Greenshield's Model. The free-flow speed is 75 mph and the jam density is 176 veh mi lane a. Derive V as a function of S. b. In 15 minutes, you have counted that V=150 veh 15 minute lane Estimate the two possible speeds S (in mph) during this 15 minute period.
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- Given the following data on a certain highway section: uf=90km/hr and qcap=3600veh/hr Calculate the density corresponds to the flow value q=900veh/hrGiven a freeway flow study at a certain highway. The speed- density relationship is described in thegiven equation or relationship:V s = 60- 0.48kDetermine the following:a. Free-flow speed and jam densityb. Derive the equation describing flow and speed.c. Derive the equation describing flow and density.d. Determine the capacity of highwayroad construction The 20-year projection of annual average daily traffic of a two-way roadway is 36.500 vehicles. Theroad serves as a highway between a residential area and a business area and the expected directionaldistribution factor is D=0.6. The 30th peak hour factor for the roadway is K=0.15. During an hourly vehiclecount, the following values were registered: 1st 15 minutes: 200 cars, 2nd 15 minutes: 130 cars, 3rd 15minute 230 cars, 4th 15 minutes. 180 cars. Estimate the peak hour factor . What is the designdirectional hourly volume for this route?
- 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/hThe traffic volume for a section of a highway can be estimated using the following equation: q = 15.1k[ln (195) - In(k)] Where q is the traffic flow measured in veh/hr and k is the traffic density measured in veh/mi. Based on the provided information, estimate the following (Show all your calculation steps): Maximum flow a. b. Jam density C. Maximum densityA 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.
- Determine the density of traffic on a highway for free flow speed of 80 km/hr and flow rate of 1200 pc/hr/lnTraffic flow in an urban section at the intersection of two highways in the design year are given below. Appr Left turning Straight ahead Right turning oach Cars Commer Scoot Cars Comm cial ers ercial Scoot Cars Comm ers ercial Scoot ers N 200 50 100 250 100 150 150 5 50 80 E 180 60 80 220 50 120 200 40 120 S 250 80 100 150 50 90 160 70 90 W 220 50 120 180 60 100 250 60 100 The highways at present intersect at right angles and have a carriageway width of 15 m. Design a rotary intersection making suitable assumptions.Suppose you are noticing traffic in a single lane of an expressway at a particular area. The average headway is quantified as 4.2 seconds. The average spacing of successive vehicles is found as 38 meters. According to the findings, compute the average speed, flow, and density of this stream on the lane.
- Given a freeway flow study at a certain highway. The speed- density relationship is described in the givenequation or relationship: V s = 58- 0.40k Determine the following:a. Free-flow speed and jam densityb. Derive the equation describing flow and speed.c. Derive the equation describing flow and density.d. Determine the capacity of highway- From the traffic studies performed along a street shows the distances each vehicle traveled every 3 seconds on a portion of the highway. Vehicle Distance, m 1 82.6 2 89.9 3 84.6 4 82 a.computethe space mean speed of the traffic, in kph.b.computethe flow of traffic.c.computethe density of traffic.A section of highway having a length 60 m. The observed data are 6 vehicles cross over it in a period of 148 sec., for the following duration: 2.4, 2.8, 3.0, 2.1, 2.2, and 3.5 sec. Estimate the values of the flow rate, density, space-mean speed, time-mean speed, average gap. and average clearance. If the length of vehicles are 6, 5.4, 6.6. 4.8, 7.5, and 6 m respectively?