Data obtained from WVDOT for a roadway segment on I-64 was used to plot speed ve
ID: 1732772 • Letter: D
Question
Data obtained from WVDOT for a roadway segment on I-64 was used to plot speed versus density for five days at a particular location that has two lanes (one direction). Regression analysis was used to fit a line to this data and the equation shown below was obtained relating speed and density. Densities used to estimate this equation were per-lane. Use this information to complete (a)-(e). Us-0.57k+74.6 a) Calculate the jam density (per lane) for this highway segment. b) Calculate the capacity (per lane) for this highway segment. c) On March 4, from 4:00-4:20 pm, sensors in both lanes of I-64 measured a total of 725 vehicles with an average speed of 60 mph. Calculate the actual density per lane during this 20 minute-period. d) What is the LOS during this 20-minute period?Explanation / Answer
Given,
Us = -0.57k + 74.6
Here,
(a) Free flow speed (Uf) = 74.6 MPH
Jam density (kj) = Uf /0.57 = 74.6 / 0.57 = 131 vpm
(b) to calculate the capasity we need to determine maximum flow
so,
74.6 - 0.57 (2) k = 0
74.6 = .57 (2) k
k = 74.6 / 0.57 (2)
k = 65.44
capasity (q) = 74.6k - 0.57k2
= (74.6 x 65.44) - (0.57 x 65.442)
= 4881.82 - 2440.96 = 2440.8 veh/ hr
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