Question

At what angle (relative to the horizontal) should a curve 52 m in radius be banked if no friction is required to prevent the car from slipping when traveling at 12 m/s? (g = 9.8 m/s^2 )

Answer 1

Banking angle,
`\theta=15.77^(\circ)`

Step-by-step explanation:

It is given that,

Radius of the curve, r = 52 m

Speed of the car, v = 12 m/s

Acceleration due to gravity,
`g=9.8\ m/s^2`

Let the curved is banked at an angle of
`\theta` with respect to the horizontal. It is given by :

`tan\theta=(v^2)/(rg)`

`tan\theta=((12)^2)/(52* 9.8)`

`\theta=15.77^(\circ)`

So, the curve is banked at an angle of 15.77 degrees wrt the horizontal. Hence, this is the required solution.