A park has a radius of 10 m. If a vehicle goes round it at an average speed of 18 km/hr, If the road of the problem is horizontal (No Banking), what should be the minimum friction coefficient so that a scooter going at 18 km /hr does not skid?
Answers
Answered by
5
If there will be no banking then the Friction will balance the vehicle by providing the centripetal force.
Thus, Friction must be greater than equal to the Centripetal Force.
∴ f ≥ mv²/r
⇒ μmg ≥ mv²/r
⇒ v² ≤ μrg
∴ μ ≥ v²/rg
This means that the Minimum friction coefficient will be μ ≥ v²/rg so that Scooter will not skid.
Hope it helps.
Similar questions