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.)

15. Suppose we define the frequency of rotation of the cylinder as the number of rotations the cylinder completes in a second. Based on Table 2, 1 second after starting from rest, the cylinder having the highest frequency of rotation will be the one with a radius of:

Answer and Explanation

Your Answer is

Correct Answer is A

Explanation

α is the angular velocity, the greater the angular velocity, the faster the rotation and the higher the frequency.

Look at table 2, the largest α is 8.0 rad/sec2, and the corresponding radius is 0.050 m