relation between linear velocity and angular velocity is given as
[tex] v = R\omega[/tex]
here
v = linear speed
R = radius
[tex]\omega[/tex] = angular speed
now plug in all data in the equation
[tex]25.0 = 0.410 \omega[/tex]
[tex]\omega = \frac{25}{0.410}[/tex]
[tex]\omega = 60.9 rad/s[/tex]
so rotating speed is 60.9 rad/s
