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(Solved): PROBLEM SET NO. 1 PRINCIPLES OF TRANSPORTATION ENGINEERING MODULE 2: TYPES OF TRAFFIC FLOW AND TRAF ...
PROBLEM SET NO. 1 PRINCIPLES OF TRANSPORTATION ENGINEERING MODULE 2: TYPES OF TRAFFIC FLOW AND TRAFFIC STREAM PARAMETERS NAME : DATE : INSTRUCrIONS: Answer the following problems correctly. Show your solutions in a separate sheet of papers and box your final answers. 1. Assume that you are observing traftic in a single lane of a highway at a specitic location. You measure the average time headway and average space headway of passing vehicles as 3.2 seconds and 165 ft, respectively. Calculate the , average speed, and density of the traffic stream in this lane. 2. Assume that you are an observer standing at a point along a threelane roadway. A11 vehicles in lane 1 are traveling at , all vehicles in lane 2 are traveling at , and all vehicles in lane 3 are traveling at . There is also a constant spacing of 0.5 mile between vehicles. If you collect spot speed data for a.1 vehicles as they cross your observation point, for 30 minutes, what will be the time-mean speed and space-mean speed for this traffic stream? 3. Four race cars are traveling on a 2.5-mile tri-oval track. The four cars are traveling at constant speeds of , and , respectively. Assume that you are an observer standing at a point on the track for a period of 30 minutes and are recording the instantaneous speed of each vehicle as it crosses your point. What is the time-mean speed and space-mean speed for these vehicles for this time period? (Note: Be careful with rounding.) 4. Three cars travel over a . section of highway at constant speeds of 26,20 and . a. Compute the time mean speed for this condition in kph. b. Compute the space mean speed for this condition in . 5. From the following data of a treeway surveillance, there are 5 vehicles under observation and the following distances are the distance each vehicle had traveled when observed every .
Expert Answer
1. Assume that you are observing traffic in a single lane of a highway at a specific location. You measure the average time headway and average space headway of passing vehicles as 3.2 seconds and 165 ft, respectively. Calculate the flow, average speed, and density of the traffic stream in this late.Sol)To calculate the flow, average speed, and density of the traffic stream, we can use the fundamental traffic flow equation, which relates these three variables: Flow = Density x Average Speed We can also relate the average time headway and average space headway using the following equation: Time Headway = Space Headway / Average Speed Let's start by calculating the average speed of the traffic stream: Average Speed = Space Headway / Time Headway = 165 ft / 3.2 s = 51.56 ft/s Next, we can use the equation for time headway to calculate the density: Time Headway = Space Headway / Average Speed Density = 1 / Space Headway Substituting values, we get: Density = 1 / 165 ft = 0.00606 vehicles/ft Finally, we can calculate the flow: Flow = Density x Average Speed = 0.00606 vehicles/ft x 51.56 ft/s = 0.312 vehicles/s Therefore, the flow of vehicles in this traffic stream is vehicles per second, the average speed of the traffic stream is ft/s, and the density of the traffic stream is 0.00606 vehicles/ft.Please refer to the detailed explanation.