Problem 2 [15 pts] A section of freeway has the following flow-density relationship: q = -0.5k² + 60k where q = flow rate in vph, k = density in vpm (1) Find the capacity of the freeway section. (2) Find the speed at capacity. (3) Find the density when the freeway is at one-quarter of its capacity.
Problem 2 [15 pts] A section of freeway has the following flow-density relationship: q = -0.5k² + 60k where q = flow rate in vph, k = density in vpm (1) Find the capacity of the freeway section. (2) Find the speed at capacity. (3) Find the density when the freeway is at one-quarter of its capacity.
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 25P
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![Problem 2 [15 pts]
A section of freeway has the following flow-density relationship:
q = -0.5k² + 60k
where q = flow rate in vph, k = density in vpm
(1) Find the capacity of the freeway section.
(2) Find the speed at capacity.
(3) Find the density when the freeway is at one-quarter of its capacity.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F553c03f6-c199-4870-a061-8ddf7adde455%2F88e334a0-2efe-40e0-be59-8f1b81876841%2Fvj444x_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 2 [15 pts]
A section of freeway has the following flow-density relationship:
q = -0.5k² + 60k
where q = flow rate in vph, k = density in vpm
(1) Find the capacity of the freeway section.
(2) Find the speed at capacity.
(3) Find the density when the freeway is at one-quarter of its capacity.
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