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 z…

Question

asked Jan 28, 2021 146k views

1 Answer

Edwin Nyawoli · Answer 1 · 2021-02-01T21:41:24+0000

Answer:

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

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

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

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

=>
$\theta = 16.38^o$