Suppose a section of Highway 280 has the following speed-density relation-ship:3400vph 10mi/hru(k) = min { 50mi/hr,k(480veh/mi – k)k(a) What is the jam density?(b) At what speed(s) is the flow at capacity?(c) At what density(ies) is the flow at 75% capacity?Suppose that vehicles are moving at 40mi/hr when the traffic light turns(d)red. Vehicles form a queue at the traffic signal waiting for it to turn green. Whatis the speed of the shockwave separating the queue from the vehicles behind?

Solution-The given values are as followsu(k)=min50mi/hr,3400vphk,10mi/hrk,480veh/mi-k

Answered: Suppose a section of Highway 280 has…

Suppose a section of Highway 280 has the following speed-density relation- ship: 3400vph 10mi/hr, u(k) = min { 50mi/hr, k (480veh/mi – k) k | (a) What is the jam density?

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 21P

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Concept explainers

Capacity and Level of Service at Intersections

The term capacity is associated with transportation engineering. Capacity helps to understand how many pedestrians or vehicles can be handled by a transport facility. Level of service is also a term associated with transportation engineering. The level of service indicates the performance of the transport facility.

Question

Suppose a section of Highway 280 has the following speed-density relation-
ship:
3400vph 10mi/hr
u(k) = min { 50mi/hr,
k
(480veh/mi – k)
k
(a) What is the jam density?
(b) At what speed(s) is the flow at capacity?
(c) At what density(ies) is the flow at 75% capacity?
Suppose that vehicles are moving at 40mi/hr when the traffic light turns
(d)
red. Vehicles form a queue at the traffic signal waiting for it to turn green. What
is the speed of the shockwave separating the queue from the vehicles behind?

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