What is direction of angular velocity for a rigid body?

The direction of the angular velocity vector is along

A body is executing circular motion in the vertical plane containing directions. If the direction of velocity (oversetrightarrow(v)) at the top most point is towards west, what is the direction of angular velocity (oversetrightarrow(omega))?

Kinetic energy and angular velocity of a rigid body are E and omega respectively. Now angular velocity of the body is increased by 2%. Find out kinetic energy.

What is the direction of areal velocity of the earth around the sun ?

Write the change in magnitude and direction of angular velocity with respect to time of a rotating body about a fixed axis.

The linear velocity of a rotating body is given by vec(v)=vec(omega)xxvec(r) , where vec(omega) is the angular velocity and vec(r) is the radius vector. The angular velocity of a body is vec(omega)=hat(i)-2hat(j)+2hat(k) and the radius vector vec(r)=4hat(j)-3hat(k) , then |vec(v)| is-

The dimensional formula of angular velocity is

The direction of angular acceleration of a body moving in a circle in the plane of the paper is .

The angular velocity of particle of rigid body is not constant.