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?

Respuesta :

Answer:

The radius is  [tex]r = 0.0170 \ m[/tex]  

Explanation:

From the question we are told that

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

       The centripetal acceleration is  [tex]a _r = 15.4 \ m/s[/tex]

Generally the centripetal acceleration is mathematically represented as

           [tex]a_r = \frac{v^2 }{r}[/tex]

=>        [tex]15.4 = \frac{0.512^2 }{ r}[/tex]

=>       [tex]r = 0.0170 \ m[/tex]