An observer standing beside a one-lane road counted in 5 minutes 20 cars traveling at 30 mph, 30 carstraveling at 50 mph and 10 cars traveling at 60 mph.(a) What is the space and time-mean speeds of the observed cars?(b) What is the average headway of the cars? [

Step 1:Given Data:In 5 minutes:20 cars traveling at 30 mph30 cars traveling at 50 mph10 cars…

Answered: An observer standing beside a one-lane…

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter6: Fundamental Principles Of Traffic Flow

Section: Chapter Questions

Problem 5P

See similar textbooks

Similar questions

An observer located at point X counted 6 vehicles passing through this point during a period of 45 seconds. What is the hourly flow rate based on the observation?
The arrival times of vehicles at the ticket gate of a sports stadium may be assumed to bePoisson with a mean of 30 mi/h. It takes an average of 1.5 min for the necessary tickets to be bought for occupants of each car. (a) What is the expected length of queue at the ticket gate, not including the vehicle being served? (b) What is the probability that there are no more than 5 cars at the gate, including the vehicle being served? (c) What will be the average waiting time of a vehicle?
$$ 5.1 Assume that you are observing traffic in a single lane of a highway at a specific location. You measure the average headway and average spacing of passing vehicles as 3.2 seconds and 165 ft, respectively. Calculate the flow, average speed, and density of the traffic stream in this lane. 5.2 Assume that you are an observer standing at a point along a three-lane roadway. All vehicles in lane 1 are traveling at 30 mi/h, all vehicles in lane 2 are traveling at 45 mi/h, and all vehicles in lane 3 are traveling at 60 mi/h. There is also a constant spacing of 0.5 mile 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?
There are 20 cars traveling at constant speeds on a 1 mile long ring track and the cars can pass each other freely. On the track 25% of the cars are traveling at 20 mph, 50% of the cars are traveling 10 mph, and the remaining 25% of the cars are traveling at an unknown speed. It was known that the space mean speed of all the cars on the track is 20 mph. (a) What is the speed that the remaining 25% of cars are traveling at? (b) If an observer standing on the side of the track counted the number and measured the speed of all cars that passed her for one hour, what is the time-mean speed of all the cars the observer counted? (c) What is the flow rate measured by the observer? (d) What is the car density on the track? Does density times space mean speed equal flow rate?

Recommended textbooks for you

Traffic and Highway Engineering

Civil Engineering

ISBN:

9781305156241

Author:

Garber, Nicholas J.

Publisher:

Cengage Learning

Engineering Fundamentals: An Introduction to Engi…

Civil Engineering

ISBN:

9781305084766

Author:

Saeed Moaveni

Publisher:

Cengage Learning

Traffic and Highway Engineering

Civil Engineering

ISBN:

9781305156241

Author:

Garber, Nicholas J.

Publisher:

Cengage Learning

Engineering Fundamentals: An Introduction to Engi…

Civil Engineering

ISBN:

9781305084766

Author:

Saeed Moaveni

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

An observer standing beside a one-lane road counted in 5 minutes 20 cars traveling at 30 mph, 30 cars traveling at 50 mph and 10 cars traveling at 60 mph. (a) What is the space and time-mean speeds of the observed cars? (b) What is the average headway of the cars? [