Define angulnr velocity. Derive `v = r omega`

Define escape velocity. Derive an expression for escape velocity.

Assertion: Vector product of two vectors is an axial vector. Reason: If vec(v)= instantaneous Velocity, vec(r )= radius vector and vec(omega)= angular velocity, then vec(omega)= vec(v)xxvec(r ) .

The linear velocity of a rotating body is given by v =omega xx r , where omega is the angular velocity and r is the radius vector. The angular velocity of a body omega=hati-2hatj+2hatk and their radius vector r=4hatj-3hatk, |v| is -

Define: Escape velocity and derive mathematically.

The vector relation between linear velocity vec v ,angular velocity vec omega and radius vector vec r is given by

A body is in pure rotation. The linear speed v of the particle, the distance r of the particle from the axis and the angular velocity roof the body are related as omega =v/r . Then