7) A long, thin aluminum rod has length l, = 31.0 m when its temperature is T, = 23.0°C. The rod is rotating about an axis through its center and

perpendicular to the rod's length (so its moment of inertia is1 ==ml2). It is rotating 43.0 times per minute and has a mass of m = 33.6 kg. Aluminum has a coefficient of linear expansion of 2.4 × 10-5/°C. a) What is the angular speed of the rod in radians per second? (4 points) b) What is the rotational kinetic energy of the rod at -207°C ? (4 points) What is the angular momentum of the rod at 463°C? (4 points)