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dimpu singh Grade: 11
        

IF BANKING OF ROAD IS THETA R IS THE RADIUS AND U IS THE COEFF OF FRICTION THEN FIND THE RANGE OF SPEED FOR SAFE DRIVING ON IT.

6 years ago

Answers : (1)

SAGAR SINGH - IIT DELHI
879 Points
										

Dear student,


When vehicle go through turnings, they travel along a nearly circular arc. There must be some force to produce the required centripetal acceleration. Centripetal force is provided to the vehicle by following three ways.





  • By friction only



  • By banking of roads only



  • By friction and banking of roads both.





1) By friction: 

    Let a car of mass m is moving at a speed v is at horizontal circular arc of radius r.    

   

And fL= limiting value of f = N = mg      (N=mg)
For a safe turn without sliding,



So if m and r is fixed the speed of the vehicle should not exceed and if v and r is fixed then coefficient of friction should be greater than
2) By banking of roads only:

To avoid friction outer part of road is some what lifted compared to the inner part.



  Fig (29)

From figure (29) NSin =  and NCos = mg

 From this we get, Tan =

At two speeds car does not slide down even if track is smooth.


 



















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Sagar Singh


B.Tech, IIT Delhi




























6 years ago
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