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A cyclist goes around a circular track once every 2 minutes. If the radius of the circular track is 105 metres, calculate his speed.

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.

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