Given,
The velocity of the car, v=45.0 m/s
The radius of the circular path, r=55.0 m
The centripetal force is the force directed towards the center that is acting on an object in a circular motion. This is the force that keeps the object in its circular path.
The centripetal acceleration is given by,
[tex]a=\frac{v^2}{r}[/tex]On substituting the known values,
[tex]\begin{gathered} a=\frac{45.0^2}{55.0} \\ =36.82\text{ m/s}^2 \end{gathered}[/tex]Thus, the centripetal acceleration of the car is 36.82 m/s².