2(a) c) The average length of each vehicle in a traffic stream is 7.0M, and the average distance between each vehicle is 2.0M. The headway at maximum flow is 1.5 seconds. Determine; (i) (ii) the jam density the speed at maximum flow
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- The mean flow speed at a portion of the highway is 62.8 mph and a jam density of 110 vehicle/mile. a) Compute the density when the flow is maximum b) Compute the maximum capacity in vehicle/hour c) Compute the speed of maximum flowThe free-flow speed at section of an expressway is 85 mph and density at flow = 0 is 120 vehicle/mile. Determine the density when the flow is at maximum. Determine the maximum capacity. Determine the speed at maximum flow.By assuming a linear speed-density relationship, the mean free flow speed in a highway lane equals 55 mph, and the jam density is observed to be 170 vpm. a. Plot the q-k-u curves (3 curves). b. Write down the speed-density and flow-density equations. c. Compute the maximum flow. d. Compute speeds and densities corresponding to a flow of 900 vph. e. Calculate average headway, gaps, clearance, and spacing at maximum flow and at jam density.
- Consider an arrival rate of 200 veh/hr for the first 30 minutes (0.5 hr) and 100 veh/hr afterwards (0.5 hr and onward). The maximum capacity (departure rate) for the roadway segment is 150 veh/hr. Determine the maximum excess accumulation.Estimate the free-flow speed of a six-lane suburban freeway with 12 ft lanes, a right-side lateral clearance of 2ft,and ramp density of 3.5 ramps/mi. Normal conditions, i.e., good weather, no incidences, no work zones, andregular users of the facility, may be assumed.The SLEX was designed to carry a free-flow speed of 50 kph and a capacity of 4000 veh/hr. At a certain point near the intersection of a road leading to Laguna, there were 3600 vehicles counted in one hour. Assume a linear relationship. Determine the space-mean speed. Determine the jam density.
- A highway section has an average spacing of 7.62m under jam conditions and a free-flow speed of 88km/hr. Assuming that the relationship between speed and density is linear, determine the jam density, the maximum flow, the density at maximum flow, and the speed at maximum flow.Based on a Greenshields' model, with a jam density of 120 vpmpl and a free flow speed of 60 mph, estimate the flow (vphpl) if the density is 60 vpmpl.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 above
- What would be the capacity of the highway if the jam density 200 veh/km, and having a flow rate of 500 veh/hr when density is 155 veh/kmBased on a linear speed-density model, with a jam density of 120 vpmpl and a free flow speed of 60 mph, estimate the density (vpmpl) if the speed is 30 mph.The flow that has velocity field V=3txi-(t^2)yj+xzka) Determine the type of flow (considering dimensionality and steadiness),b) At the point (x, y, z)=(0, -2, 1), find total acceleration vector,c) Determine the volumetric dilatation rate.