Studies have shown that the traffic flow on a two-lane road adjacent to a school can be described by the Greenshields model. A length of 0.5 mi adjacent to a school is described as a school zone (see the figure) and operates for a period of 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 show that the jam density and mean free speed for each lane are 136 veh/mi and 63 mi/h. If the demand flow on the highway at the times of operation of the school zone is 90% of the capacity of the highway, determine the following. 0.5 mile School Zone (a) the velocity of the shock wave created by the operation of the school zone (Enter the velocity of the backward forming shock wave in mi/h. Indicate the direction with the sign of your answer.) mi/h (b) the number of vehicles affected by the school zone during this 30-minute operation vehicles

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 16P
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Studies have shown that the traffic flow on a two-lane road adjacent to a school can be described by the Greenshields model. A length of 0.5 mi adjacent to a school is described as a school zone (see the figure) and operates for a period of 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 show that the jam density and mean free speed for each lane are 136 veh/mi and 63 mi/h. If the demand flow on the highway at the times of operation of the school zone is 90% of the capacity of the highway, determine the following.
0.5 mile
School Zone
(a) the velocity of the shock wave created by the operation of the school zone (Enter the velocity of the backward forming shock wave in mi/h. Indicate the direction with the sign of your answer.)
mi/h
(b) the number of vehicles affected by the school zone during this 30-minute operation
vehicles
Transcribed Image Text:Studies have shown that the traffic flow on a two-lane road adjacent to a school can be described by the Greenshields model. A length of 0.5 mi adjacent to a school is described as a school zone (see the figure) and operates for a period of 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 show that the jam density and mean free speed for each lane are 136 veh/mi and 63 mi/h. If the demand flow on the highway at the times of operation of the school zone is 90% of the capacity of the highway, determine the following. 0.5 mile School Zone (a) the velocity of the shock wave created by the operation of the school zone (Enter the velocity of the backward forming shock wave in mi/h. Indicate the direction with the sign of your answer.) mi/h (b) the number of vehicles affected by the school zone during this 30-minute operation vehicles
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