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(B) $1$. The linear velocity $v$ of a particle moving in a circular path is always directed along the tangent to the circle at that point.$2$. The ang

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$90$

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(B) $1$. The linear velocity $v$ of a particle moving in a circular path is always directed along the tangent to the circle at that point.$2$. The angular velocity $\omega$ is a vector quantity whose direction is determined by the right-hand thumb rule. For a particle revolving in an anticlockwise sense in the $xy$-plane,the angular velocity vector $\omega$ points along the axis of rotation,which is perpendicular to the plane of the circle (i.e.,along the $z$-axis).$3$. Since the linear velocity $v$ lies in the plane of the circle and the angular velocity $\omega$ is perpendicular to the plane of the circle,the angle between them is always $90^{\circ}$.

$A$ particle is revolving in an anticlockwise sense along the circumference of a circle of radius $r$ with linear velocity $v$. The angle between the linear velocity $v$ and the angular velocity $\omega$ is: (in $^{\circ}$)

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