(1) What is the flow when avg. speed is 50 mph? (2) A traffic study provided the # of acceptance and rejection by different gap values, shown in the Table below. What is the critical gap? Explain your answer. Hint: you can find that gap value by inspection. No calculation is needed.
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- Please show me the process and steps. A) Traffic on a highway is said to follow the Greenshields model with jam density of 196 pc/mi/ln. The measured capacity is 3250 pc/h/ln. What is the free flow speed?Given a freeway flow study at a certain highway. The speed- density relationship is described in the givenequation or relationship: V s = 58- 0.40k Determine the following:a. Free-flow speed and jam densityb. Derive the equation describing flow and speed.c. Derive the equation describing flow and density.d. Determine the capacity of highwayGiven a freeway flow study at a certain highway. The speed- density relationship is described in thegiven equation or relationship:V s = 60- 0.48kDetermine the following:a. Free-flow speed and jam densityb. Derive the equation describing flow and speed.c. Derive the equation describing flow and density.d. Determine the capacity of highway
- Using Greenshields' model, for a highway with a mean free flow speed of 76 mi/h and jam density of 128 veh/mi, determine the density (in veh/mi) when the mean speed is observed to be 58 mi/h:SUBJECT: PRINCIPLES OF TRANSPORTATION ENGINEERING PROBLEM: The data shown below were obtained on a highway determine the value of "a" and "b" given the formula for Greenshield Model. Also determine the maximum capacity and the jam densityTraffic flow in an urban section at the intersection of two highways in the design year are given below. Appr Left turning Straight ahead Right turning oach Cars Commer Scoot Cars Comm cial ers ercial Scoot Cars Comm ers ercial Scoot ers N 200 50 100 250 100 150 150 5 50 80 E 180 60 80 220 50 120 200 40 120 S 250 80 100 150 50 90 160 70 90 W 220 50 120 180 60 100 250 60 100 The highways at present intersect at right angles and have a carriageway width of 15 m. Design a rotary intersection making suitable assumptions.
- Traffic flow on a four-lane (one direction) freeway can be described by the Greenshields model. Two lanes of the four lanes on a section of this freeway will have to be closed to undertake an emergency bridge repair that is expected to take 2 hr. The mean free speed of the highway is 60 mi/h and the jam density is 140 veh/mi/ln. If it is estimated that the demand flow on the highway during the emergency repairs is 80% of the capacity, using the deterministic approach, determine: (a) The maximum queue length that will be formed (b) The total delay(c) The number of vehicles that will be affected by the incident(d) The average individual delayUse linear regression to fit the highway speed/density data shown here to the Greenshields model, and use it to determine: a. The mean free flow speed b. The jam density The capacity The speed at max flow R² of this dataConsider only a single lane of a highway. Based on extensive data from an urban freeway it is assumed thatfree-flow speeds (i.e., there are no jams) can best be represented by a Normal distribution with mean andstandard deviation 119 km/h and 13.1 km/h, respectively.1. What is the probability that the speed of a randomly selected vehicle is between 100 and 120 km/h?2. What is the expected number of vehicles between two vehicles that exceed the posted speed limit of100 Km/h? You can use the Z table for calculating the final answer. You can also write your final answer in form ofR functions or as PDF/CDF of statistical distributions with correct arguments.
- A traffic engineer urgently needs to determine the AADT on a rural primary road that has the volume distribution characteristics as discussed. She collected the data shown below on a Friday during the month of March. Determine the AADT of the road. 1:00 –2:00 p.m. = 600; 2:00 –3:00 p.m. = 645; 3:00 –4:00 p.m. = 730; 4:00 –5:00 p.m. = 780; 5:00 –6:00 p.m. = 815; 6:00 - 7:00 p.m. = 795Data obtained from aerial photography showed nine vehicles on a 720 ft-long section of road. Traffic data collected at the same time indicated an average time headway of 4.2 sec. Determine the following. (a) the density on the highway (in veh/mi) veh/mi (b) the flow on the road (in veh/h) veh/h (c) the space mean speed (in mi/h) mi/hAn engineer wishing to obtain the speed characteristics on a bypass around her city at a confidence level of 95%, and an acceptable limit of 1.0 mi/h collected a total of 130 spot speed samples and determined that the variance is 25 (mi/h)2 . Has the engineer met with all of the requirements of the study?