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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

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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

r = radius of track

\theta= angle with which cycle leans

 

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