Question 4The macroscopic model developed by Drake et al. (1967) proposed the following equation toexpress the relationship between speed and density:●v = vfeA traffic engineer calibrated the model using empirical data and the model parameters wereestimated as follows:The free-flow speed (vf) = 110 km/hThe density at capacity (km) = 30 veh/kmAnswer the following questions:2(二)ㄕa) 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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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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