Answer
The length of tape passing through the reel in 13s is $0.62m$
Work Step by Step
The average tangential speed at the outer edge of the reel is $$\overline{v_T}=\overline\omega r=(3.4rad/s)\times(1.4\times10^{-2}m)=4.76\times10^{-2}m/s$$
The length of tape passing through the reel in 13s is $$l=(4.76\times10^{-2}m/s)\times13s=0.62m$$
