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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Updated on: 10-Oct-2022

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