Answer
The speed of transverse waves on this string is $168~m/s$
Work Step by Step
We can find the speed of transverse waves on this string:
$v = \sqrt{\frac{F}{\mu}}$
$v = \sqrt{\frac{90.0~N}{3.20\times 10^{-3}~kg/m}}$
$v = 168~m/s$
The speed of transverse waves on this string is $168~m/s$