GATE CE 2014 Set 1 — Question 62
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Transportation Engineering → Intersections & Signals → Fundamental Flow Relationships
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Question
The speed-density () relationship on a single lane road with unidirectional flow is , where is in km/hr and is in veh/km. The capacity of the road (in veh/hr) is ___________
Correct answer
1750 to 1750
Solution
The speed-density relationship is given as .
This is a linear model of the form .
Comparing the two equations:
This is a linear model of the form .
Comparing the two equations:
1.Free-flow speed km/hr.
2.Slope veh/km.
The capacity (maximum flow) for a linear speed-density model is given by:Alternatively, . Differentiating with respect to and setting to zero: . Then .Continue learning with Success Tracker
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