The macroscopic model developed by Drake et al. (1967) proposed the following equation to express the relationship between speed and density: - (1) ² ● v = vfe A traffic engineer calibrated the model using empirical data and the model parameters were estimated as follows: The free-flow speed (vf) = 110 km/h The density at capacity (km) = 30 veh/km Answer the following questions: a) Develop an equation to express the flow (q) as a function of the speed (v). b) Using the equation developed in the previous question, plot the q-v relationship, with (v) on the horizontal axis and (q) on the vertical axis. (Show all critical values on your plots). c) Calculate the average headway and the average spacing corresponding to the capacity.
The macroscopic model developed by Drake et al. (1967) proposed the following equation to express the relationship between speed and density: - (1) ² ● v = vfe A traffic engineer calibrated the model using empirical data and the model parameters were estimated as follows: The free-flow speed (vf) = 110 km/h The density at capacity (km) = 30 veh/km Answer the following questions: a) Develop an equation to express the flow (q) as a function of the speed (v). b) Using the equation developed in the previous question, plot the q-v relationship, with (v) on the horizontal axis and (q) on the vertical axis. (Show all critical values on your plots). c) Calculate the average headway and the average spacing corresponding to the capacity.
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter6: Fundamental Dimensions And Units
Section: Chapter Questions
Problem 22P
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Transcribed Image Text:Question 4
The macroscopic model developed by Drake et al. (1967) proposed the following equation to
express the relationship between speed and density:
●
v = vfe
A traffic engineer calibrated the model using empirical data and the model parameters were
estimated as follows:
The free-flow speed (vf) = 110 km/h
The density at capacity (km) = 30 veh/km
Answer the following questions:
2
(二)ㄕ
a) Develop an equation to express the flow (q) as a function of the speed (v).
b) Using the equation developed in the previous question, plot the q-v relationship, with (v)
on the horizontal axis and (q) on the vertical axis. (Show all critical values on your plots).
c) Calculate the average headway and the average spacing corresponding to the capacity.
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