A small $13\mathrm{.}0$ g bug stands at one end of a thin uniform bar that is initially at rest on a smooth horizontal table. The other end of the bar pivots about a nail driven into the table and can rotate freely, without friction. The bar has mass $70\mathrm{.}0$ g

and is $120$ cm in length. The bug jumps off in the horizontal direction, perpendicular to the bar, with a speed of $25\mathrm{.}0$ cm$/$s relative to the table. What is the angular speed of the bar just after the frisky insect leaps?