Solution. We know that for a body moving in a circular path :
Here,
$$
v=\frac{2 \pi r}{t}
$$
$$
\begin{aligned}
\text { Speed, } v &=? \\
\mathrm{pi}, \pi &=\frac{22}{7}
\end{aligned}
$$
(To be calculated)
Radius of circular track, $r=105 \mathrm{~m}$
And, Time taken for 1 round, $t=2$ minutes
$$
\begin{array}{l}
=2 \times 60 \text { seconds } \\
=120 \mathrm{~s} .
\end{array}
$$
Now, putting these values of $\pi, r$ and $t$ in the above formula, we get :
$$
\begin{aligned}
v &=\frac{2 \times 22 \times 105}{7 \times 120} \\
&=5.5 \mathrm{~m} / \mathrm{s}
\end{aligned}
$$
Thus, the speed of cyclist on the circular track is $5.5$ metres per second.