A cyclist speeding at `18 km// h` on a level road takes a sharp circular turn of radius 3 m without reducing the speed . The coefficient of static friction between the tyres and the road is 0.1 Will the cyclist slip while taking the turn ?

Answer

`Yes` .

Explanation

On a level road centripetal force is provided only by force of friction Therefore, max safe speed
`upsilon_(max) = sqrt(mu r g) = sqrt( 0.1 xx 3 xx 9.8) = sqrt(2.94`
Actual speed, `upsilon, upsilon = 18km//h= 5m//s`
Hence the cyclist will slip .