A cylist on a level road takes a sharp circular turn of radius 3m ( g = 10 mcdot s^(-2) ). If the coefficient of static friction between the cycle tyre and the road is 0.2, at which of the following speeds will the cyclist not skid while taking the turn?

A cylist on a level road takes a sharp circular turn of radius 3m ( g

1.	A cylist on a level road takes a sharp circular turn of radius 3m ( g = 10 mcdot s^(-2) ). If the coefficient of static friction between the cycle tyre and the road is 0.2, at which of the following speeds will the cyclist not skid while taking the turn?
Answer» `14.4 " ""km"CDOT h^(-1)` `7.2 " ""km"cdot h^(-1)` `9 " ""km"cdot h^(-1)` `10.8 " ""km"cdot h^(-1)` Solution :The maximum speed at which the cyclist will not SKID is, `v_(m) = sqrt(mu r g ) = sqrt( 0.2 xx 3 xx 10) = 2.45` m/s ` = (2.45 xx 60 xx 60 )/(1000)` km/h = 8.82 km.`h^(-1)` Among the GIVEN options 7.2 km`cdot h^(-1)` is less than this. The option B is correct.