1) 1) A section of highway has the following flow-density relationship: q-50k-0.156k² What is the capacity (maximum flow) of the highway section, the space mean speed at capacity, and the density when the traffic flow on the highway is at one-quarter of its capacity?
1) 1) A section of highway has the following flow-density relationship: q-50k-0.156k² What is the capacity (maximum flow) of the highway section, the space mean speed at capacity, and the density when the traffic flow on the highway is at one-quarter of its capacity?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![1) 1) A section of highway has the following flow-density relationship:
q-50k-0.156k²
What is the capacity (maximum flow) of the highway section, the space mean speed at capacity,
and the density when the traffic flow on the highway is at one-quarter of its capacity?
2) An observer has determined that the time headways between successive vehicles on a section
of highway are exponentially distributed (arrival of vehicle is Poisson distribution) and that 60%
of the headways between vehicles are 13 seconds or greater. If the observer decides to count
traffic in 30-second time intervals, estimate the probability of the observer counting exactly four
vehicles in an interval.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F42a79bb7-cf1a-4915-b9b6-4376cf16e012%2F46d241a1-722b-4d8c-9564-d9d71a45ae21%2Fsoy6q2b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1) 1) A section of highway has the following flow-density relationship:
q-50k-0.156k²
What is the capacity (maximum flow) of the highway section, the space mean speed at capacity,
and the density when the traffic flow on the highway is at one-quarter of its capacity?
2) An observer has determined that the time headways between successive vehicles on a section
of highway are exponentially distributed (arrival of vehicle is Poisson distribution) and that 60%
of the headways between vehicles are 13 seconds or greater. If the observer decides to count
traffic in 30-second time intervals, estimate the probability of the observer counting exactly four
vehicles in an interval.
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