please Explain step by step and include any formular used Problem 2 [15 pts]A section of freeway has the following flow-density relationship:q = -0.5k² + 60kwhere 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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Answered: Problem 2 [15 pts] A section of freeway…

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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1- A study of freeway flow at a particular site has resulted in a calibrated speed-density relationship, as follows u = 57.5(10.008k) a) Find the free-flow speed and jam density b) Derive the equations describing flow versus speed and flow versus density c) Determine the capacity of the road 2- A rural freeway has a demand volume of 6750 v/hr. It has four 3.4 m lanes in each direction. The traffic stream is comprised of 8% heavy vehicles and a PHF of 0.94. The terrain is rolling throughout the segment. What is the level of service for the facility? What is the capacity? 3- For an urban freeway, how many 3.6 m lanes in each direction are needed to achieve LOS C on a freeway with a peak hour traffic volume of 5725 v/hr and with a PHF = 0.967 The traffic stream is comprised of 11% heavy vehicles and the location is level terrain.
5.6 A section of highway has the following flow- density relationship q = 50k - 0.156k2 [with q in veh/h and k in veh/mi]. What is the capacity of the highway section, the speed at capacity, and the density when the highway is at one-quarter of its capacity?
Explain step by step, show what formulas used
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Please explain step by step and include any formula used
The arrival times of vehicles at the ticket gate of a sports stadium may be assumed to bePoisson with a mean of 30 mi/h. It takes an average of 1.5 min for the necessary tickets to be bought for occupants of each car. (a) What is the expected length of queue at the ticket gate, not including the vehicle being served? (b) What is the probability that there are no more than 5 cars at the gate, including the vehicle being served? (c) What will be the average waiting time of a vehicle?
An existing rural 4-lane highway is to be replaced by a 6-lane divided expressway (3 lanes in each direction). Traffic volume data on the highway indicate that the AADT (both directions) during the first year of operation is 24,000 with the following vehicle mix and axle loads. Passengercars=50percent 2-axle single-unit trucks (12,000lb/axle)=40percent 3-axle single-unit trucks (16,000lb/axle)=10percent The vehicle mix is expected to remain the same throughout the design life of 20 years, although traffic is expected to grow at a rate of 3.5 percent annually. Using the AASHTO design procedure, determine the minimum depth of concrete pavement required for the design period of 20 years. Pi=4.5J=3.2Pt=2.5Cd=1.0Sc=650lb/in.2So=0.3Ec=5106lb/in.2R=95k=130lb/in.3

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