When a cyclist turns on a circular path, the necessary centripetal force is provided by friction...

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When a cyclist turns on a circular path, the necessary centripetal force is provided by friction between the tires and the road. If centripetal force is not provided by friction, then for the vehicle to move on circular path, the track is banked.

The correct angle of banking for a curved smooth road of radius \( 120 \mathrm{~m} \) for a speed of \( 108 \mathrm{~km} / \mathrm{h}\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right) \) is
(A) \( 30^{\circ} \)
(B) \( 37^{\circ} \)
(C) \( 45^{\circ} \)
(D) \( 60^{\circ} \)
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