A particle is revolving in anticlockwise sense along the circumference of a circle of radius 'r' with linear…

A particle is revolving in anticlockwise sense along the circumference of a circle of radius 'r' with linear velocity 'v', then the angle between ' $\mathrm{v}^{\prime}$ and angular velocity '$\omega^{\prime}$ will be
  1. $180^{\circ}$
  2. $90^{\circ}$
  3. $45^{\circ}$
  4. $0^{\circ}$

Solution

1. The linear velocity $\vec{v}$ of a particle moving in a circular path is always tangential to the circle at any point on its path. 2. The angular velocity $\vec{\omega}$ is directed along the axis of rotation, which is perpendicular to the plane of the circle (according to the right-hand rule, since the particle is revolving in the anticlockwise sense, $\vec{\omega}$ points outward from the plane). Thus, the angle between $\vec{v}$ (tangential) and $\vec{\omega}$ (perpendicular to the plane) is always 90 degrees.

Asked in: MHT CET 2020 (20 Oct Shift 2)

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