Question

A particle is performing ucm along a circle of radius r .in one half revolution,what is the distance travelled and the magnitude of its displacement?

Answer 1

The distance travelled is 2Пr, the magnitude of displacement is 2r.

It is given that the particle is performing uniform circular motion (ucm) along a circular path with radius 'r'.

In one revolution, the particle travels a path which is equal to the circumference of the circle.

We know, circumference of a circle with radius 'r', is equal to 2Пr.

So, in one revolution, the particle covers a distance of 2Пr.

Similarly, in one-half revolution, the particle covers a distance of (1/2)×2Пr = Пr.

Also, the particle will be diametrically opposite position to the current position, so displacement = 2r.