## Divergence of the Velocity of a Body Rotating About the Origin

For a rogid body rotating with angular velocityabout the origin and letbe the position vector of a point P.

The velocity of P isso

Use the identityto obtain

sinceis a constant vector.

For a rogid body rotating with angular velocityabout the origin and letbe the position vector of a point P.

The velocity of P isso

Use the identityto obtain

sinceis a constant vector.