A small $13\mathrm{.}0g$ 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 $70\mathrm{.}0g$ and is $120cm$ in length. The bug jumps off in the horizontal direction, perpendicular to the bar,

with a speed of $25\mathrm{.}0c\frac{m}{s}$ relative to the table.

For related problem$-$solving tips and strategies, you may want to view a Video Tutor Solution of

Angular momentum in a crime bust.

Part A

What is the angular speed of the bar just after the frisky insect leaps?

Express your answer in radians per second.