centripetal acceleration is given by formula
[tex]a_c = \omega^2*R[/tex]
given that
[tex]a_c = 34.1 m/s^2[/tex]
[tex]R = 5.91 m[/tex]
now we have
[tex]\omega^2 R = 34.1[/tex]
[tex]\omega^2 * 5.91 = 34.1[/tex]
[tex]\omega^2 = 5.77[/tex]
[tex]\omega = 2.4 rad/s[/tex]
so the ratationa frequency is given by
[tex]\omega = 2 \pi f[/tex]
[tex]2.4 = 2 \pi f[/tex]
[tex]f = \frac{2.4}{2\pi}[/tex]
[tex]f = 0.38 Hz[/tex]
