Answer
The linear speed of the tip of the nylon cord is $152~m/s$
Work Step by Step
We can find the linear speed of the tip of the nylon cord:
$v = \omega~r$
$v = (660~rad/s)(0.23~m)$
$v = 152~m/s$
The linear speed of the tip of the nylon cord is $152~m/s$