I need the answer quickly The curve below shows the traffic stream's speed and flow data on a section of the highway.260024002200200018001600140012001000101525303540455055SPEED (MILE/HR)By using Greenberg (non-linear) model, find:a. Free-flow speed and jam density.b. Correlation coefficient (R2) of the estimated speed-density relationship,c. Estimate and draw flow-density relationship, andd. Maximum flow, maximum density, and maximum speed.FLOW (VEH/HR)20

Answered: The curve below shows the traffic…

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 13P

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Problem 6 Traffic on a single-lane urban street observes the following flow-density relationship: q=30k(1-k/180), where q is the traffic flow in vehicles per hour (VPH), and k is the traffic density in vehicles per mile (VPM). Answer the following questions: a. | Calculate the free flow speed, capacity, and jam density of the traffic flow. b. What is the minimum spacing and the minimum (time) headway of the traffic flow? What is the traffic volume when the travel speed is 20 MPH? C.
4. When the accident rate (instead of accident number) is used to identify hazardous location, there is bias towards selecting low-flow locations with few accidents. A. True B. False 5. If all cars on one lane move at 25 mph and all cars on the second lane move at 30 mph, the time mean speed and space mean speed calculated for the 2-lane highway will be the same: Α. True B. False 6. Free-flow speed is the speed at maximum vehicle flow rate for the Greenshield's speed- density relationship: Α. True B. False
The traffic shows data on speeds and corresponding densities on a section of a rural collector road. If it can assumed that the traffic flow characteristics can be described by the Greenberg's model, develop an appropriate relationship between the speed and flow and their modelled plotted points to be shown in the Q-u diagram. How strong the correlation of the two are? Also determine the capacity of this section of the road. Traffic Data Speed (kph) 60 Density (Veh/km) 20 46 32 40.8 38 39.3 40 35.7 45 32.6 50 30.8 53 28.4 57 24.7 65 18.5 80
the picture attached represents the traffic entering and leaving a type of roundabout road junction in Continental Europe. Such roundabouts ensure the continuous smooth flow of traffic at road junctions. Construct linear equations that describe the flow of traffic along the various branches. Use these equations to determine the minimum flow possible along x1. What are the other flows at that time? (it is not necessary to compute the reduced echelon form. Use the fact that traffic flow cannot be negative.)
Based on a field traffic study, the flow-density relationship for a minor arterial street was found as Q= 44 D - 0.6 D2, then the density at .traffic jam condition is about . Veh./km 34 .a 53 .b 73 111 .d None .e C.
Assume that the speed-density function of a section of highway follows Greenshield's Model. The free-flow speed is 75 mph and the jam density is 176 veh mi lane a. Derive V as a function of S. b. In 15 minutes, you have counted that V=150 veh 15 minute lane Estimate the two possible speeds S (in mph) during this 15 minute period.
Linear regression analysis was performed on a set of traffic data using speed and density measurements from a highway segment. The following equation was developed. ?? = 57.5 − 0.457?? Use this equation, as well as the fundamental relationship equations to answer the following questions. What is the free-flow speed for this data? What is the jam density of this data? What is the maximum flow of this highway segment? What is the mean speed at this maximum flow?
Example -2 A section of highway having a length 60 m. The observed data are 6 vehicles cross over it in a period of 148 sec., for the following duration: 2.4, 2.8, 3.0, 2.1, 2.2, and 3.5 sec. Estimate the values of the flow rate, density, space-mean speed, time- mean speed, average gap, and average clearance. If the length of vehicles are 6, 5.4, 6.6, 4.8, 7.5, and 6 m respectively? Solution:
.) A study of freeway flow at a particular site has resulted in a calibrated speed- density relationship as follows: V=57.5 (1-0.008 D); From this relationship, Find the free flow speed and the Jam density. Derive equations describing flow versus speed and flow versus density.
6-7 The table below shows data on speeds and corresponding densities on a section of a rural collector road. If it can be assumed that the traffic flow characteristics can be described by the Greenberg model, develop an appropriate relationship between the flow and density. Also determine the capacity of this section of the road. Speed (mi/h) Density (veh/mi) Speed (mi/h) Density (veh/mi) 60.0 20 32.6 50 46.0 32 30.8 53 40.8 38 28.4 57 65 80 39.3 40 24.7 35.7 45 18.5
QUESTION 8 If the free flow speed of the highway is measured in the field, you apply adjustments for lane width, total lateral clearance, type of median, and access density to estimate free flow speed. O True False
Traffic on a freeway gives a Greenshield's traffic flow relationship expressed as: Q = 60k-0.16667k? At 10AM, an accident occurs 4 km downstream of an access ramp. The vehicles pull onto the shoulder of the roadway, but traffic passing the accident area slows to 10 kph as drivers survey the damage on the side of the road. A patrol car enters the freeway via access ramp, also at 10AM. Upon entering the freeway, the patrol car notes that traffic on the freeway is moving along at about 40 kph. Determine the following: 1. Capacity flow of the highway 2. Traffic shockwave created by the road accident 3. Time in AM the patrol car will reach the accident zone 4. Plotted traffic shockwave line in the Q-k traffic model diagram

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