A solid cylindrical disk is to be used as a stabilizer in a ship. By using a massive disk rotating in the hold of the ship, the captain knows that a large torque is required to tilt its angular momentum vector. The mass of the disk to be used is 1.00 105 kg and it has a radius of 2.05 m. If the cylinder rotates at 300.4 rpm, what is the magnitude of the average torque required to tilt its axis by 53.1° in a time of 3.00 s? [Hint: Draw a vector diagram of the initial and final angular momenta.]