Answer
The angular speed is $~~175~rad/s$
Work Step by Step
In part (c), we found that the linear speed as it reaches the end of the string is $~~v = 0.56~m/s$
We can find the angular speed:
$\omega = \frac{v}{r}$
$\omega = \frac{0.56~m/s}{3.2\times 10^{-3}~m}$
$\omega = 175~rad/s$
The angular speed is $~~175~rad/s$
