A study of freeway flow at a particular site has resulted in calibrated speed-density relationship as follows: S-57.5 (1-0.008D) for this relationship, determine: (a) Free flow speed (b) Jam density (c) Speed-flow relationship (d) Capacity
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A is the wright answer bro
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Solution
A.) To solve for free-flow speed and jam density:
us = 57.5 –0.46k. Notice that this equation is linear with respect to space mean speed and density and is of the form of Greenshield’s equation.
Greenshield’s equation: us= uf- (uf/kj)k
Free flow speed uf = 57.5 MPH
To calculate jam density: uf/kj = 0.46 gives kj = 125 vpm
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