A circular racetrack of radius 300 m is banked at an angle of `20^(@)`. If the coefficient of friction between the wheels of the race car and the road is 0.2, what is the approximate maximum permissible speed of the race car ? `

Options

A. `88.2 ms^(-1)`
B. `86.4 ms^(-1)`
C. `42.3 ms^(-1)`
D. none of the given

Answer

C

Explanation

`v_(max) = sqrt( g(mu_(s) + tan theta )/( 1-mu_(s) tan theta ))`
`=sqrt(2940(0.608))`
`=42 .28m//s`
`=42.3m//s`