The design speed of a traffic lane is 70 kmph. What is the theoretical capacity per hour taking the total reaction time to be 2 seconds and average length of vehicles as 8 m?

828

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728

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628

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Solution

The correct option is B 728
Theoretical capacity
$C = \frac{160 \times 65}{4}$
S = SSD + L
$= 0.278 \times V \times t \frac{{(0.278 \times 70)}^{2}}{2 μ g} + L$

$= 0.278 \times V \times 2 + \frac{{(0.278 \times 70)}^{2}}{2 \times 0.4 \times 9.81} + 8$

$(A s s u m e μ = 0.4)$
= 95 . 1736 m

$∴ C a p a c i t y = \frac{1000 V}{S}$

$= \frac{1000 \times 70}{95.1736} = 735.5$

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The design speed of a traffic lane is 70 kmph. What is the theoretical capacity per hour taking the total reaction time to be 2 seconds and average length of vehicles as 8 m?

The correct option is B 728Theoretical capacity C=160×654 S = SSD + L =0.278×V×t(0.278×70)22μ g+L =0.278×V×2+(0.278×70)22×0.4×9.81+8 (Assumeμ=0.4) = 95 . 1736 m ∴Capacity=1000VS =1000×7095.1736=735.5