A thin uniform$-$density rod whose mass is $3\mathrm{.}7$ kg and whose length is $2\mathrm{.}4$ m rotates around an axis perpendicular to the rod, with angular speed $35$ radians$/$s$.$ Its center moves with a speed of $15$ m$/$s$.$

$($a$)$ What is its rotational kinetic energy?

Krot $=$ J

$($b$)$ What is its total kinetic energy?

Ktotal $=$ J