A cyclist is moving in a circular track of radius 80 m with a velocity v =36`kmh^(-1)` . He has to lean from the vertical approximately through an angle

Options

A. `tan^(-1)(4)`
B. `tan^(-1)((1)/(8))`
C. `tan^(-1)((1)/(4))`
D. `tan^(-1)(2)`

Answer

B

Explanation

`tan theta =(v^2)/(rg)=((36xx5//18)^2)/(80xx10)=1/8`
`rArr" "theta=tan^(-1)(1/8)`