Answer
The angular speed is $~~440~rad/s$
Work Step by Step
In part (c), we found that the linear speed as it reaches the end of the string is $~~1.4~m/s$
It is given that the axle radius is $r = 3.2~mm$
We can find the angular speed:
$\omega = \frac{v}{r}$
$\omega = \frac{1.4~m/s}{0.0032~m}$
$\omega = 440~rad/s$
The angular speed is $~~440~rad/s$
