Question

At what angle should the roadway on a curve with a 50-m radius be banked to allow cars to negotiate the curve at 12 m/s even if the roadway is icy (and the frictional force is zero)

Answer 1

The value is
`\theta = 16.38^o`

Step-by-step explanation:

From the question we are told that

The radius is
`r = 50 \ m`

The velocity is
`v = 12 \ m/s`

Generally the angle is mathematically represented as

`\theta = tan^(-1) [(v^2)/( gr) ]`

=>
`\theta = tan^(-1) [(12^2)/( 9.8 * 50 ) ]`

=>
`\theta = tan^(-1) [ 0.2939 ]`

=>
`\theta = 16.38^o`