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The speed-density (u-k) relationship on a single lane road with unidirectional flow is u = 70 – 0.7 k, where u is in km/hr and k is in veh/km. The capacity of the road (in veh/hr) is _______
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- 1165
- 6544
- 1750
- 1250
Correct Option: C
Capacity = velocity × density
⇒ c = u × k
= (70 – 0.7 k) × k
= 70 k – 0.7 k2
| ∴ | = 70 - 1.4k = 0 | |
| dk |
∴ k = 50
∴ c = 70 × 50 – 0.7 × (50)2 = 1750 veh / hr
