A cyclist is moving on a circular track of radius 80 m with a velocity𝑣 = 36kmh−1. He has to lean from the vertical approximately through an angle (take 𝑔 = 10 ms−2)

Question : A cyclist is moving on a circular track of radius 80 m with a velocity𝑣 = 36kmh−1. He has to lean from the vertical approximately through an angle (take 𝑔 = 10 ms−2)

(A) \tan ^{-1}\left( 4\right)

(B) \tan ^{-1}\left( \dfrac{1}{3}\right)

(C) \tan ^{-1}\left( \dfrac{1}{4}\right)

(D) \tan ^{-1}\left( \dfrac{1}{8}\right)

Answer : option (D)

Solution :

A cyclist is moving on a circular track of radius 80 m with a velocity𝑣 = 36kmh−1. He has to lean from the vertical approximately through an angle (take 𝑔 = 10 ms−2
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