Answer
Please see the work below.
Work Step by Step
We know that the angular speed is given as
$\omega=2\pi f$
We plug in the known values to obtain:
$\omega=2(3.1416)(\frac{3500}{60})=366.5\frac{rad}{s}$
Now we can find the required linear speed as
$v=r\omega$
We plug in the known values to obtain:
$v=(0.25/2)(366.5)=46\frac{m}{s}$
