A particle is moving in a circular path with constant speed v .What is the change in velocity when the particle completes one-forth of revolution?

Answers (1)

Let the constant speed of the particle be v.

Let us assume the particle is going clockwise in the XY plane with the center of circular path at origin (0,0) and radius r.

Let the initial position of particle be (r,0). At this instant the particle has a velocity directed towards positive Y-axis.

 

After the quarter circle motion in the first quadrant, it comes to position (0,r). At this instance it's velocity is directed towards negative X-axis

So, magnitude of velocity=

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