A given movement at signalized intersection receives 28-seconds green time, 3.5 seconds of yellow time out of 60 seconds cycle. If saturation flow rate is 3750 vph/lane and the startup lost time is 1.5 seconds, what is the capacity of the movement? 8036 4083 1680 1750
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- A volume of 320 veh/h. Assume that the vehicle arrivals are Poisson distributed. What is the probability that the headway between successive vehicles will be less than 10 seconds. choices: 62.70%, 58.90%, 56.30%, 60.00%What count period would you choose for the volume study at the intersection with signal cycle length (a) 60 seconds, (b) 90 seconds, and (c) 120 seconds?An intersection has a three-phase signal with the movement allowed in each phase and corresponding analysis and saturation flow rates shown in the table below. Assume the lost time is 4 seconds per phase and a critical intersection v/c of 0.90 is desired Phase 1 2 3 Allowed Movement NB L, SB L NB T/R, SB T/R EB L, WB L EB /T/R, WB T/R Analysis Flow Rate 330, 365 veh/h 1125, 1075 veh/h 110, 80 veh/h 250, 285 veh/h Saturation Flow Rate 1700, 1750 veh/h 3400, 300 veh/h 650, 600 veh/h 1750, 1800 veh/h Calculate the Following: 1.)Sum of flow ratios for critical lane groups 2.)minimum cycle length 3.)using v/c equation ratio, calculate the effective green time for phase 1 4.)using v/c equation ratio, calculate the effective green time for phase 2 5.)using v/c equation ratio, calculate the effective green time for phase 3
- Studies have shown that the traffic flow on a two-lane road adjacent to aschool can be described by the Greenshields model. A length of 0.5 miadjacent to a school is described as a school zone and operates for a periodof 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 15 mi/h.Data collected at the site when the school zone is not in operation showthat the jam density and mean free speed for each lane are 125 veh/mi and57 mi/h. If the demand flow on the highway at the times of operation ofthe school zone is 90% of the capacity of the highway, determine: The speeds of the shock waves created by the operation of the schoolzone, and• The number of vehicles affected by the school zone in the upsream ofthe zone during this 30-minute operation.Supposed vehicles arve at a signalized road intersection at an average rate of 360 vehhr and the cycle of the trac light is set at 40 seconds. In what percentage of cycles wil the number of venices be amring: 2.1. Exacty 5 2.2. Less than 5 If, after the lights change to green, there is time to clear only 5 venices before the signal changes to red again, what is the probabilty that waiting vehicles are not cleared in one cycle?Flow on a freeway with two lane was 1600 veh/hr/ln, and the density of 16 veh/km/ln. Due to maintenance work on the left side of the road, 12 km of the road were closed, there was increasing in density to be 29.8 veh/km/ln and backward moving shockwave speed with 8 km/hr. 1. Find the speed and flow of the right side in the maintenance section. 2. How many vehicles (per lane) will be in the platoon after leaving the work zone?
- An engineering student at MLQU is driving on alevel roadway and sees a construction sign 600 feet ahead Ithe middle of the roadway. The student strikes the sign at aspeed of 35 mph. If the student was travelling at 55 mph whenthe sign was first spotted, what was the student’s associatedperception/reaction time in sec? Assume that the decelerationis 11.2 ft/s?Using the figure and the included equations, determine the following: a. The signal phasing plan that will yield the minimum cylce length (assuming 95% capacity utilization (Xc) and three timing stages). (Hint: First determine N-S phasing possibilities and E-W phasing possibilities, and then consider possible combinations). Use the attached equation for Cmin. b. "Optimal" cycle length. Use the attached equation for Copt. c. Effective green times for each phase (for balanced v/c ratios), for minimum cycle. Use the attached equation for gi. d. Displayed yellow and all-red times for each phase. Use the attached equations for Y and AR. e. Required pedestrian green times. Use the attached equations for Gp.At a specified point on a highway, vehicles are known to arrive according to a Poissonprocess. Vehicles are counted in 30-second intervals, and vehicle counts are taken in 120 ofthese time intervals. It is noted that no cars arrive in 18 of these 120 intervals. a) Approximate the number of these 120 intervals in which exactly three cars arrive. b) Estimate the Percentage of time headways that will be 10 seconds or greater andthose that will be less than 6 seconds.
- 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.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?PLEASE ANSWER ANY TWO A)A roadway with a capacity of 4000 vph has 15 minute arrivals of 1000, 500, 500, and 2000 during the peak hour. The queue at the end of the hour is most likely. B)A 3ft detector is used along a highway to help measure density. What is the density (in vpmpl) if the detector is occupied 50 percent of the time. Assume 28 ft veh length. C)If vehicles arrive at a rate of 360 vph, what is the probability of exactly 2 vehicles arriving in 20 seconds? (2 to decimals) D)How many vehicles have "arrived" if for 3 straight 15 minute periods the arrival rates are 240 vph, 400 vph, 600 vph?