The centripetal acceleration of an object under circular motion at constant speed v in a trajectory with radius r is:
[tex]a_c=\frac{v^2}{r}[/tex]Replace v=27.6m/s and r=195m to find the centripetal acceleration of the car:
[tex]a_c=\frac{(27.6\frac{m}{s})^2}{195m}=3.90646...\frac{m}{s^2}\approx3.91\frac{m}{s^2}[/tex]Therefore, the car experiences an acceleration of 3.91 m/s^2.
