The centripetal acceleration is given by:
[tex]a=\omega^2r[/tex]where ω is the angular velocity and r is the radius. In this case the angular velocity is 4 rad/s and the radius is 3 m; plugging these values we have:
[tex]\begin{gathered} a=(4^2)(3) \\ a=48 \end{gathered}[/tex]Therefore, the centripetal acceleration is 48 meters per second per second.
