Q. A particle is moving on a circular path of radius r with uniform velocity v. The change in velocity when the particle moves from P to Q is ( )
Dear student,
It is given that the particle is moving in the circle with a uniform velocity v. As such the magnitude of velocity remains the same but the direction changes. We know the direction of velocity of a particle moving in a circle is along the tangent of that point. Since OP and OQ are at 40° with each other, their velocity vectors at P and Q will also be at the same angle to each other.
![](https://s3mn.mnimgs.com/img/shared/content_ck_images/ck_5ab9c8a8e579f.png)
Hence,
It is given that the particle is moving in the circle with a uniform velocity v. As such the magnitude of velocity remains the same but the direction changes. We know the direction of velocity of a particle moving in a circle is along the tangent of that point. Since OP and OQ are at 40° with each other, their velocity vectors at P and Q will also be at the same angle to each other.
![](https://s3mn.mnimgs.com/img/shared/content_ck_images/ck_5ab9c8a8e579f.png)
Hence,
Regards