Problem 2. (15 pts) Find the relationship between speed and density for a highway with a...
2. Studies show that on a specific northbound section of a highway the speed-density relationship is: u= u(1-(k/k;) -5) The highway's capacity is 3800 veh/h and the jam density is 140 veh/mi. What is the speed of the traffic at capacity, and what is the free-flow speed?
3. (20 marks) The capacity of a highway is suddenly reduced due to a closure of certain lanes in a work zone. If the Greenberg model describes the relationship between speed and density on the highway, determine the capacity if the jam density of the highway is 155 veh/mi, and the critical speed is 32.50 mph. Also, determine the percentage of reduction of the capacity of the highway at the work zone if the density at the vicinity of that...
2. If the relationship between speed and density is linear, mathematically approve that the optimal speed is half of the free flow speed and optimal density is half of the jam dencity We have Um-0.5Uf, Km-0,5 Kjam
Given a Greenshields linear density speed-relationship, S = 55.0 - 0.45 D. Flow-speed relationship is Flow=1100S-S^2/g and flow-density relationship is Flow=55D-0.45D^2 1.What are the values for the following: a) free flow speed __________________________ b) jam density ____________________ c) capacity _______________________
a section of highway has the following flow-density relationship q = 50k-0.25k^2 what is the capacity of the highway section ,the speed at capacity ,and the density when the highway is at one quarter of its capacity?
QUESTION THREE On an urban highway, the relationship between vehicle speed and density can be represented by the Greenburg Model as the data in Table 3.1. Due to the roadwork on this highway, the width of both traffic lanes is narrowed and a bottleneck to traffic flow forms. The maximum flow on the unobstructed highway is 5000 vehicles per hour whilst on the section under repair the maximum flow is 4000 vehicles per hour. When the traffic flow approaching the...
Assume the following relationship between flow and speed: q=240*S-3.428*S^2 Find: a) Free flow speed (Sf) b) Jam density (Dj) c) D-S relationship d) q-D relationship e) Capacity (qmax) f) Plot three graphs demonstrating q-S, q-D, and D-S relationships
5. Traffic on Route 15 south of Selinsgrove was observed at two different times. The first observation found a flow rate of 1,863 vehicles per hour per lane and a density of 85 vehicles per mile. The second observation found a flow rate of 1,050 vehicles per hour per lane and a density of 25 vehicles per mile. Using this data, compute the following: a. For both observations, determine the vehicle speed [mph] and the time headway [sec] b. If...
Five-minute average speed in km/h and flow rate in veh/h during 12 hours were collected from a section of the eastbound lanes of Highway 401 in Toronto. The collected data were plotted to form the scatter diagram shown in the figure below. A curve was drawn to describe the general relationship between speed and flow rate q as shown in the figure. 120 300 Speed km/h 60 1000 Flow Rate vel (a) From the above speed-flow rate curve, determine the...
4 The following 15-minute volumes were obtained on an eastbound lane of a highway. (a) If the capacity of the lane in that direction is 1820 vehicles per hour, would there be queuing delay? Show all the steps to the solution of the problem. (b) Compute the peak hour factor Time period Volume (vehicles) 7:00-7:15 7:15-7:30 7:30-7:45 7:45-8:00 410 459 289 5. A section of highway has the following flow-density relationship in metric units (that is, density is in vehicles...