Answer
$\omega=58.3~rad/s$
Work Step by Step
$r=\frac{diameter}{2}=\frac{1~m}{2}=0.5~m$
$v=105~km/h=\frac{105}{3.6}~m/s=29.167~m/s$
$v=\omega~r$
$\omega=\frac{v}{r}=\frac{29.167~m/s}{0.5~m}=58.3~rad/s$
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