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A particle completes a half revolution of a circular track whose radius is $r$ in time $t$. Find the speed of the particle.
Therefore, distance travelled by the particle is equal to the half of the circumference of the circular track.
so, the distance travelled $=\frac{1}{2}\times2\pi r$
$=\pi r$
Therefore, $\pi r$ is the distance travelled by the particle.
Now, the speed of the particle $=\frac{distance}{time}$
$=\frac{\pi r}{t}$
Thus, the speed of the particle is $\frac{\pi r}{t}$.
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