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A cyclist speeding at 18 km/h on a level...

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 co-efficient of static friction between the tyres and the road is 0.1. Will the cyclist slip while taking the turn?

Text Solution

Verified by Experts

v= 18 `kmh^(-1)`
`=(18xx 1000)/(3600) = 5ms^(-1)`
Maximum safe speed on level circular track
`v_(max) = sqrt (mu_(s) rg )`
`:. , v_(max) =1.714 ms^(-1)`
Here `v_("cyclist" ) gt v_("max")` hence cyclist will slip of from path.
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