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Which one of the following represents the basic capacity of a single lane road? Where, V = speed in km/h, s = average centre to centre spacing of vehicle in m, and h = average time headway between two vehicle in seconds
  • a)
    1000s/V
  • b)
    1000V/s
  • c)
    1000h/V
  • d)
    1000V/h
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Which one of the following represents the basic capacity of a single l...
Understanding Road Capacity
The basic capacity of a single lane road is a critical concept in traffic engineering. It reflects how many vehicles can pass a certain point on the road in a given time period.
Key Parameters
- V: Speed of vehicles in km/h
- s: Average center-to-center spacing of vehicles in meters
- h: Average time headway between two vehicles in seconds
Capacity Calculation
To determine the road capacity, we need to understand the relationship between these parameters:
1. Time Headway (h): This is the time interval between two consecutive vehicles passing a point.
2. Spacing (s): This is the physical distance between the front of one vehicle to the front of the next.
Deriving Capacity Formula
The basic formula for calculating the capacity (C) in vehicles per hour (vph) is derived as follows:
- The number of vehicles that can occupy a lane in one hour can be calculated using the speed (V) and the average spacing (s).
- The relationship between time headway (h) and speed (V) is critical because it tells us how many vehicles can pass a point based on their speed and the time between them.
In mathematical terms, the basic capacity can be expressed as:
C = 1000V/s
This indicates that the capacity increases with speed and decreases with increased spacing between vehicles.
Conclusion
Thus, the correct answer is option b) 1000V/s, indicating that the capacity of a single lane road is directly proportional to the vehicle speed and inversely proportional to the distance between vehicles. This relationship helps in traffic planning and management, ensuring efficient road usage.
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