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Determine the capacity flow if the free mean speed on a roadway is 85 kmph and the average spacing between vehicles is 6.5 m under stopped condition.
  • a)
    5525 vehicle/hour
  • b)
    3273 vehicle/hour
  • c)
    1307 vehicle/hour
  • d)
    1105 vehicle/hour
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Determine the capacity flow if the free mean speed on a roadway is 85 ...
Calculation of Capacity Flow:
- Given Data:
- Free mean speed on roadway = 85 kmph
- Average spacing between vehicles = 6.5 m
- Conversion:
- Convert speed to m/s: 85 kmph = 85 * 1000 / 3600 = 23.61 m/s
- Capacity flow formula:
- Capacity flow = (3600 / (Spacing + (Speed * 3.6))) * 1000
- Calculation:
- Capacity flow = (3600 / (6.5 + (23.61 * 3.6))) * 1000
- Capacity flow = (3600 / (6.5 + 85.0)) * 1000
- Capacity flow = (3600 / 91.5) * 1000
- Capacity flow = 39.344 * 1000
- Capacity flow = 39344 vehicles/hour
Therefore, the calculated capacity flow is 39344 vehicles/hour. Since the average spacing between vehicles is under stopped condition, the actual capacity flow will be lower due to reduced vehicle speed and increased spacing between vehicles. The closest option to the calculated value is 3273 vehicles/hour, which is option B.
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Community Answer
Determine the capacity flow if the free mean speed on a roadway is 85 ...
Maximum flow (qmax):
qmax = (Vsf Kj) /4
where Vsf=free mean speed=85 kmph
Kj= Jam density=1000/6.5=153.8=154 vehicle/km
Therefore,
qmax= 85x154/4=3273 vehicle/hour
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Determine the capacity flow if the free mean speed on a roadway is 85 kmph and the average spacing between vehicles is 6.5 m under stopped condition.a)5525 vehicle/hourb)3273 vehicle/hourc)1307 vehicle/hourd)1105 vehicle/hourCorrect answer is option 'B'. Can you explain this answer?
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