Question

A two lane, one- way road with radius of 50 m is predominantly carrying lorries with a wheelbase of 5m. The speed of lorries is restricted to be between 60 kmph and 80 kmph. The mechanical widening and psychological widening required at 60 kmph are designated as $W_{me,60}$ and $W_{ps,60}$, respectively. The mechanical widening and psychological widening required at 80 kmph are designated as $W_{me,80}$ and $W_{ps,80}$, respectively . The correct values of $W_{me,60}$, $W_{ps,60}$, $W_{me,80}$, $W_{ps,80}$ respectively are

• A. 0.89 m , 0.50 m, 1.19 m and 0.50 m
• B. 1.19 m, 0.50 m, 0.89 m and 0.50 m
• C. 0.50 m, 0.89 m, 0.50 m and 1.19 m
• D. 0.50 m, 1.19 m, 0.50 m and 0.89 m

Answer 1

The correct option is C 0.50 m, 0.89 m, 0.50 m and 1.19 m

$W_{me,60}=\frac{n{l}^2}{2R}=\frac{2\times 5^2}{2\times 50}=0.5m$

$W_{ps,60}=\frac{V}{9.5\sqrt{R}}=\frac{60}{9.5\sqrt{50}}=0.89m$

$W_{me,80}=\frac{n{l}^2}{2R}=\frac{2\times 5^2}{2\times 50}=0.5m$

$W_{ps,80}=\frac{V}{9.5\sqrt{R}}=\frac{80}{9.5\sqrt{50}}=1.19m$