A cyclist is moving in a circular track of radius 80 m with a velocity v = 36 km/h. He has to lean from the vertical approximately through an angle: (Take g = `10 ms^(-2)`)

Options

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

Answer

D

Explanation

`tan theta = (v ^(2))/( rg)`
`implies theta = tan ^(-1) ((10 xx 10 )/( 80 xx 10)) `
`(because v = 36 xx (5)/(18) = 10 m//s)= tan ^(-1) ((1)/(8))`