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Question

A cyclist goes round a circular path of length 400 m in 20 second . calculate the angle through which he bends from vertical in order to maintain the balance.


Options:
A .  `sin^-1 (0.64)`
B .  `tan ^-1 (0.64)`
C .  `cos ^1 (0.64)`
D .  None of these .
Answer: Option B

`      400 = 2 pi r`

`because  tan theta = v^2/rg`

                                = ` ((400/20)^2)/((400/2 pi)g)`

`tan theta = (400 xx 2 pi)/(400 g) = (6.28)/(9.8)` = 0.64

`because  theta = tan ^-1 (0.64)`




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