Question

A race car moves along a circular track at a speed of 0.512 m/s. If the car's centripetal acceleration is 15.4 m/s2, what is the distance between the car and the center of the track?

Answer 1

Answer:

The radius is  $r = 0.0170 \ m$  

Explanation:

From the question we are told that

      The speed at which the race car moves is $v = 0.512 \ m/s$

       The centripetal acceleration is  $a _r = 15.4 \ m/s$

Generally the centripetal acceleration is mathematically represented as

           $a_r = \frac{v^2 }{r}$

=>        $15.4 = \frac{0.512^2 }{ r}$

=>       $r = 0.0170 \ m$