# While taking a turn on a circular path of radius r with a bicycle what is the maximum angle with vertical axis we can bend our c

For the below figure

we can say that

The  maximum angle with the vertical axis we can bend our cycle to avoid skidding on the road

is given by

$\theta=tan^{-1}\left( \frac{v^{2}}{rg} \right )$

where

V = velocity

$\theta=$ angle with which cycle leans

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