Passage III

A solid cylinder is mounted on frictionless bearings. A thin string of negligible mass is wrapped around the cylinder and pulled with a constant force, as shown in Figure 1.

The force results in a torque, τ, on the cylinder that causes the cylinder to spin. The angular acceleration, α, of the cylinder is the change of the cylinder's rotational speed over time.

Tables 1, 2, and 3 give τ and α for various cylinder masses, cylinder radii, and forces, respectively. Table 4 shows the rotational speed of a particular cylinder at different times.

(Note: All of the cylinders described in Tables 1-4 have the same length.)