Answer:
0.092 J
Explanation:
Rotational kinetic energy is:
RE = ½ Iω²
where I is the moment of inertia and ω is the angular speed.
For a solid cylinder, I = ½ mr².
RE = ½ (½ mr²) ω²
RE = ¼ mr²ω²
Convert ω from rpm to rad/s.
33.4 rev/min × (2π rad/rev) × (1 min / 60 s) = 3.50 rad/s
Plug in values and solve:
RE = ¼ (3.0 kg) (0.10 m)² (3.50 rad/s)²
RE = 0.092 J