Answer :
The relationship between linear speed and angular speed is given by:
[tex]\begin{gathered} \omega=\frac{v}{r} \\ where\colon \\ \omega=Angular_{\text{ }}sped \\ v=Linear_{\text{ }}speed \\ r=radius \end{gathered}[/tex]so:
[tex]\begin{gathered} r=30in=0.762m \\ \omega=126rpm \\ so\colon \\ v=\omega\cdot r \\ v=126\cdot0.762 \\ v\approx\frac{10.1m}{s} \end{gathered}[/tex]therefore:
[tex]v\approx\frac{33.14ft}{s}[/tex]