Estimate the theoretical capacity of traffic lane with one-way traffic flow at a stream speed of 60 kmph. Assume the average space gap between vehicles to follow the relation Sg = 0.278 V t where V is the stream speed in kmph, t is the average reaction time = 0.6 sec. Assume average length of vehicles = 5 m.
- A3800 veh/hr
- B3900 veh/hr
- C4000 veh/hrCorrect
- D4100 veh/hr
Solution
Concept
Lane capacity
Formula
C = 1000 V / S
Step-by-step solution
1. Sg = 0.278 × 60 × 0.6 = 10 m. 2. S = 10 + 5 = 15 m. 3. C = 1000 × 60/15 = 4000 veh/h.
Explanation
Capacity is the speed divided by the headway.
Why the other options are wrong
Other values do not follow.
Shortcut
1000V/S.
Correct answer: C) 4000 veh/hr