Question

A flat Curve on a highway has radius of curvature 400 m.A car goes around the curve at a speed of 32 m/s.What is the minimum value of the coefficient of friction that will prevent the car from sliding?

Answer 1

Answer:

In order to prevent the vehicle from slipping away on a curve, the necessary centripetal force should be provided by the force of friction between the road and the wheels of the vehicle.

Force of friction=μmg ----- here μ is the coeficient of friction(which depends on the two interacting surfaces), m is the mass of the car and g is the gravitational acceleration.

Centripetal force =

r

m

V

2

both should be equal. So,

μmg=

r

m

V

2

μ=

rg

V

2

=

400×9.8

32

2

=0.261.