Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 6, Problem 3P
To determine
(a)
A schematic diagram is to be drawn showing the locations of the vehicles 20 sec after the first vehicle passed section XX and the time mean speed.
To determine
(b)
Space mean speed.
To determine
(c)
Density on the highway.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Two sets of students are collecting traffic data at two sections, xx and yy, of a highway 500 metre apart. Observations at xx show that five vehicles passed that section at intervals of 3, 4, 3, and 5 secs, respectively. If the speeds of the vehicles were 50, 45, 40, 35, and 30 km/hr., respectively, draw a schematic showing the locations of the vehicles 20 sec after the first vehicle passed section xx. Also determine (a) the time mean speed, (b) the space mean speed, and (c) the density on the highway.
Two sets of students are collecting traffic data at two sections, xx and yy, of a highway 1500 ft
apart. Observations at xx show that five vehicles passed that section at intervals of 3, 4, 3, and 5
sec, respectively. If the speeds of the vehicles were 50, 45, 40, 35, and 30 mi/h, respectively, draw a
schematic showing the locations of the vehicles 20 sec after the first vehicles passed section xx.
Also, determine (a) the time mean speed, (b) the space mean speed, and (c) the density on the highway.
Two sets of students are collecting traffic data at two sections, xx and yy, of a highway 1,200 ft apart. Observations at xx show that five vehicles passed that section at intervals of 3, 4, 3, and 5 sec, respectively. If the speeds of the vehicles were 55, 50, 45, 40, and 35 mi/h, respectively, determine the space mean speed (in km/h) for the data using the following equation where
ut
and
us
are in km/h. (Round your answer to at least three significant figures.)
ut = 0.966us + (3.541 km/h)
km/h
Determine the space mean speed (in km/h) for the data using the following equation. (Round your answer to at least three significant figures.)
us =
n
n
1
ui
i=1
km/h
Compare your answers and discuss the results.
Chapter 6 Solutions
Traffic and Highway Engineering
Ch. 6 - Prob. 1PCh. 6 - Prob. 2PCh. 6 - Prob. 3PCh. 6 - Prob. 4PCh. 6 - Prob. 5PCh. 6 - Prob. 6PCh. 6 - Prob. 7PCh. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - Prob. 10P
Ch. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - Prob. 13PCh. 6 - Prob. 14PCh. 6 - Prob. 15PCh. 6 - Prob. 16PCh. 6 - Prob. 17PCh. 6 - Prob. 18PCh. 6 - Prob. 19PCh. 6 - Prob. 20PCh. 6 - Prob. 21PCh. 6 - Prob. 22PCh. 6 - Prob. 23PCh. 6 - Prob. 24PCh. 6 - Prob. 25PCh. 6 - The arrival times of vehicles at the ticket gate...Ch. 6 - Prob. 27P
Knowledge Booster
Similar questions
- Two sets of students are collecting traffic data at two sections, xx and yy, of a highway 1400 ft apart. Observations at xx show that five vehicles passed that section at intervals of 3, 4, 3, and 5 seconds, respectively. If the speeds of the vehicles were found through radar gun measurements to be 50, 45, 40, 35, and 30 mph respectively, a. Draw a schematic showing the locations of the vehicles 20 seconds after the first vehicle passed xx. b. Determine the time mean speed C. Determine the space mean speed d. Determine the density on the highway e. Determine the flow Recalculate the space mean speed from Problem 1, using the empirical equation developed by Garber & Sankar: ūt = 0.966ūs + 3.541. Compare this answer to that calculated in Problem 1.arrow_forward1. Two sets of students are collecting traffic data at two sections, xx and yy, of a highway 1400 ft apart. Observations at xx show that five vehicles passed that section at intervals of 3, 4, 3, and 5 seconds, respectively. If the speeds of the vehicles were found through radar gun measurements to be 50, 45, 40, 35, and 30 mph respectively, a. Draw a schematic showing the locations of the vehicles 20 seconds after the first vehicle passed xx. b. Determine the time mean speed c. Determine the space mean speed d. Determine the density on the highway e. Determine the flowarrow_forwardAssume you are an observer standing at a point on a three lane race track. All vehicles in lane 1 are traveling at 50 mi/h, all vehicles in lane 2 are traveling at 65 mi/h, and all vehicles in lane 3 are traveling at 70 mi/h. There is a constant spacing of 0.25 mile. If you collect spot speed data for all vehicles that pass your observation point in one hour, what will the time-mean speed be for the traffic stream?arrow_forward
- Consider only a single lane of a highway. Based on extensive data from an urban freeway it is assumed thatfree-flow speeds (i.e., there are no jams) can best be represented by a Normal distribution with mean andstandard deviation 119 km/h and 13.1 km/h, respectively.1. What is the probability that the speed of a randomly selected vehicle is between 100 and 120 km/h?2. What is the expected number of vehicles between two vehicles that exceed the posted speed limit of100 Km/h? You can use the Z table for calculating the final answer. You can also write your final answer in form ofR functions or as PDF/CDF of statistical distributions with correct arguments.arrow_forwardThis is a three-part question. Data obtained from aerial photography showed eight vehicles on an 800 ft-long section of road. Traffic data collected at the same time indicated an average time headway of 3.7 sec. Part A. Determine the density on the highway in vehicles per mile. Part B. Determine the flow on the road in vehicles per hour. Part C. Determine the space mean speed in mph.arrow_forwardData obtained from aerial photography showed nine vehicles on a 720 ft-long section of road. Traffic data collected at the same time indicated an average time headway of 4.2 sec. Determine the following. (a) the density on the highway (in veh/mi) veh/mi (b) the flow on the road (in veh/h) veh/h (c) the space mean speed (in mi/h) mi/harrow_forward
- A flow characteristic that is related to the density and obtained from speed data is occupancy. Data obtained from a 6-ft by 6-ft inductive loop detector is used to determine the traffic density. With an occupancy of 9.375%, determine the density, in vehicles per mile, for a mean vehicle length of 27 feet.arrow_forwardAssume you are an observer standing at a point along a three‐lane roadway. All vehicles in lane 1 are traveling at 30 mi/hr, all vehicles in lane 2 are traveling at 45 mi/hr, and all vehicles in lane 3 are traveling at 60 mi/hr. The spacing between vehicles in each lane is 0.5 mile. If you collect spot speed data for all vehicles as they cross your observation point for 2 hours, what will be the time‐mean speed and space‐mean speed for this traffic stream?arrow_forwardData from a 6ft by 6ft inductive loop detector collected during a 60 second interval indicates that the mean speed of traffic is 50mph among the 32 vehicles counted. Assume an average vehicle length of 19ft. Calculate a. The density, b. The occupancy, and C. The flow rate during this interval.arrow_forward
- Assume you are an observer standing at a point along a three lane roadway. All vehicles in lane 1 are traveling at 50 km/h, all vehicles in lane 2 are traveling at 75 km/h, and all vehicles in lane 3 are traveling at 100 km/h. There is also a constant spacing of 0.8 kilometer between vehicles. If you collect spot speed data for all 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?arrow_forwardAt time ? = 0, when the border inspection station was scheduled to open, eight vehicles were already waiting in a queue in front of an inspection booth. Vehicles continued to arrive at a rate of 4 veh/minute. The officer did not start the inspection until ? = 4 minutes. When ?≥4 minutes, the barrier was lifted and vehicles left at a rate of 7.5 veh/minute. Draw the vehicle arrival and departure curves in the following graph. From the graph, determine the maximum queue length and the time the queue disappears. Assume D/D/1 queuing.arrow_forwardTo measure the spot speed of vehicles on a certain accident-prone location along MacArthur Highway, a trap length equal to 40 m long was set. The times in seconds clocked by an observer for 24 vehicles were: (see table below). Determine the spot speed or time mean speed. If the maximum speed limit at the location was set at 60 kph, determine the percentage of drivers violating the regulation? (Note: This is just an illustrative problem; more data are actually needed for this kind of analysis.)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Traffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage Learning
Traffic and Highway Engineering
Civil Engineering
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Cengage Learning