Banking of roads #!#Part 2#!#Maximum speed to safely navigate a curve

On a dry road the maximum safe speed for a vehicle moving on a curved raod is 30 km/ hour , After heavy showers , the maximum safe speed for the same raod was 18 km/ hour . The ratio of the coefficient of friction for the dry road to that of wett road is

Banking of roads at curve is necessary so as to avoid

Find the maximum speed with which a car be safely driven along a curve of radius 100 , . If the coefficient of fricition between its tyres and the road is 0.2.

What is the maximum speed with which a car safely turn a around a curved horizontal road of radius 50 m ? [The coefficient of friction between the tyres and the surface of the road is 0.4 ]

What will be the maximum speed of a car when it safely driven along a curved road of radius 100 m ? (mu=0.2)

For a car not to turn safely on a curved road

Banking of roads at curve is necessary so as to avoid (A) overturning of vehicle moving with maximum speed (B) the dependence of centripetal force on the force of friction (c) rough nature of road surface which increases the force of friction and causes the wear and tear of tyres of vehicle . (D) skidding of the vehicle. the correct statements is /are

The circumference of a circular track is 1.256 km . What is the tangent of the angle of banking of the track if the maximum speed at which a car can be safely driven along it is 20 m/s and g= 10 m//s^(2) ?

Civil engineers bank a road to help a car negotiate a curve. While designing a road they usually ignore friction. However, a young engineer decided to include friction in his calculation while designing a road. The radius of curvature of the road is R and the coefficient of friction between the tire and the road is mu . (a) What should be the banking angle (theta_(0)) so that car travelling up to a maximum speed V_(0) can negotiate the curve. (b) At what speed (V_(1)) shall a car travel on a road banked at theta_(0) so that there is no tendency to skid. (No tendency to skid means there is no static friction force action on the car). (c) The driver of a car travelling at speed (V_(1)) starts retarding (by applying brakes). What angle (acute, obtuse or right angle) does the resultant friction force on the car make with the direction of motion?