3(b) Another section of the highway has the Following Flow density relationship: q = 50k - 0.156 k²; H q= (v) 2M2 at bas Determine: 9977 Fa (i) the maximum flow (qmax) of the highway Section? (0) Lii) the speed at maximum flow? booge wolf - A 14 (1) Ciii) the density (K) when the highway is at one-quarter of its capacity?
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- The following equation describes flow-density relationship: q=46k−0.30 k^2 where q is in vehicles per hour. Use Greenshield’s model. a.Calculate flow at capacity. b.Calculate the jam density. c.Calculate the shockwavespeed from initialdensity of 76 vpk to final density of 129.2 vpk.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.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/hr
- What is the actual maximum superelevation rate allowable under AASHTO recommended standard for a 100 kph design speed, if the value of fis the maximum allowed by AASHTO? A . 4 % B. 4.5 % C. 5 % D. 5.5%Given a Greenshields linear density-speed relationship of us = 71.2 - 0.584k a. derive the flow-speed relationship equation b. Derive the flow-density relationship equation c. Find the mean free flow speed d. Find the jam density e.Find the capacityFrom an aerial photograph, one observes that on a level section of a (multilane) highway, 25% of the vehicles are trucks, 75% are cars, and there are 50 vehicles per mile of highway. The trucks travel at 40 mph and the cars at 60 mph. This highway also has a section with a steep grade on which the speed of the trucks drops to 25 mph and the speed of the cars to 55 mph. No vehicles enter or exit the subject highway sections (except at the ends). The flows on these highway sections are stationary, which means that the flows on the level section are equal to those on the grade. Determine (a) the flow of vehicles on the level section; (b) the density of vehicles on the grade; (c) the percent of trucks on the grade as seen from an aerial photo; (d) the percent of trucks as seen by a stationary observer on the grade.
- Assume that drivers in fact follow the rule of the road of keeping .a gap of one car length (L) for each 10-mi/h increment of speed. Assuming a car length of 20ft, develop the equations of stream now and draw the u-k, q-u, and q-k diagrams.Using differential equation of gradually varied flow, show that dy/dx is positive for S1 M1 and M3 flow profile?Civil Analysis of highway section A portion of a four-lane multilane highway with a full median carries 2,600 vehicles per hour during peak hours in the busiest direction. In the traffic flow, there are 2% RVs and 14% trucks. The facility's regular users are mainly motorists. The segment under study is a mile-long, 3% sustained gradient. PHF equals 0.88. Field research has been done to establish that the facility's free-flow speed is 55.0 miles per hour. What degree of service will be provided during peak hours at this facility?
- The surface velocity at any vertical section of a stream isDetermine the L.O.S of the road if PHF = 0.88, D= 60%, K=O.11, V=115 kph? For an Existing 4 lane freeway having the following features: • Lane and shoulder width = 12 ft, 6 ft, weekday commuter • Percent of trucks and buses = 8% and 4% respectively and Et =2.5, Eb =2.2• AADT = 35200 veh/day, Assume lane capacity * 2000 pc/hr9) The driver of an automobile moving with the velocity of 90 km/h on a 4% graded descendinghighway section decides to overtake the bus moving with a velocity of 70 km/h despite theapproaching truck with a velocity of 50 km/h on the opposite direction.a) What should be the minimum distance between the automobile and the truck at thebeginning of the overtaking for safe manouevre ?b) If the truck has to stop op the highway, what is the upper and the lower limit of the tractionforce that must be diverted to its wheels in order to restart moving ?Given: di=8+0,2.Vi; pavement sliding coefficient, f=0,40; t = 0,020; the mass of the truck = 12ton, Qm=2/3.Q