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Q.

A circular road of radius $40 \sqrt{3}$ m has the angle of banking equal to $30^{0}$ . At what speed should a vehicle go on this road so that the friction Is not used $(g = 10 m / s^{2})$

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a

20m/s

b

40m/s

c

30m/s

d

10m/s

answer is B.

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Detailed Solution

$T a n 30 = V^{2} / R g$

$V^{2} = \frac{1}{\sqrt{3}} R g$

$V = \sqrt{\frac{1}{\sqrt{3}} (40 \sqrt{3}) 10} = 20 m / s$

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